Solve For I-4x + 7 = 23X = (2024)

Mathematics College

Answers

Answer 1

Answer: I = 23.

Step-by-step explanation: To solve this equation for x, you can start by subtracting 7 from both sides to get -4x = 16. Then, you can divide both sides by -4 to get x = -4.

So, the value of x that makes the equation true is x = -4.

To find the value of I, you can substitute this value back into the original equation:

-4(-4) + 7 = 23

16 + 7 = 23

23 = 23

Thus, I = 23.

Answer 2

The answer to this question is X = -4

Related Questions

a random sample of non industrialized countries was selected and the life expectancy in years is listed for both men and women

Answers

Women’s life expectancy in a country is equals to 63.8 years when men’s life expectancy is 60 years.

A random sample of non-industrialized countries was selected, and study the life expectancy in years is listed for both men and women.

let X - Men and Y - Women

Mean for men , X- bar =52.367 ;

Standard deviations, σₓ = 11.9271

Mean for women, Y- bar=55.317 ;

Standard deviations, σᵧ = 13.30

regression cofficient rₓᵧ = 0.997

Significant at 0.05 level. Consider the regression line equation, of Y on X ,

( Y - Y-bar) = bₓᵧ (X - X-bar) --(1)

bₓᵧ = rₓᵧ ( σᵧ /σₓ) = 0.997(13.3046/11.9271)

= 1.1121

from (1), ( Y - 55.317) = 1.1121 (X - 52.367)

=> Y = - 2.9228 + 1.1121 X

If X = 60 then Y = - 2.9228 + 1.1121 ×60

=> Y = 63.8 yrs.

Hence, women life expectancy is 63.8 yrs.

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Complete question:

Life Expectancies A random sample of non-industrialized countries was selected, and the life expectancy in years is listed for both men and women. If the correlation is significant to at least 0.05 significance, then find women’s life expectancy in a country where men’s life expectancy = 60 years. Otherwise, enter zero

Men 59.7 72.9 41.9 46.2 50.3

Women 63.8 77.8 44.5 48.3 54.0

Select all of the numbers below that are rational.
Select 4 correct answer(s)
1
√24
√36
19
3

1
6

Answers

The 4 correct answers that are rational numbers are: 19/3, [tex]\sqrt{\frac{4}{49} }[/tex], 2.16, [tex]\sqrt{36}[/tex].

A rational number is a given number that has been expressed in a form of denominator and numerator i.e quotient form. It involves two integers dividing each other, so that they can be expressed as a quotient. Quotient implies expressing two numbers as a fraction.

An integer is a number which does not have a decimal part.

So then in the given question, the set of numbers that are rational are:

i. 19/3

ii. [tex]\sqrt{\frac{4}{49} }[/tex]

iii. 2.16

iv. [tex]\sqrt{36}[/tex] = [tex]\frac{6}{1}[/tex]

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Find r'(t), r(t0), and r'(t0) for the given value of t0. Then sketch the space curve represented by the vector-valued function, and sketch the vectors r(t0) and r'(t0).
r(t) = ti + t2j +\frac{5}{4}\textbf{k} , t0 = 2

Answers

The equations at the [tex]t_0[/tex] = 2 are r'(t) = i + 2t j, r( [tex]t_0[/tex] ) = 2 i + 4j + (5/4)k and r'( [tex]t_0[/tex] ) = i + 4 j .

We are given the equation-

r(t) = [tex]t[/tex] i + [tex]t^2[/tex] j + (5/4)k ------------------------(1)

and [tex]t_0[/tex] = 2

Now to find r( [tex]t_0[/tex] ), we will substitute [tex]t_0[/tex] = 2 in the equation (1), and we will get,

r( [tex]t_0[/tex] ) = [tex]t_0[/tex] i + [tex]t_0^2[/tex] j + (5/4)k

r(2) = 2 i + [tex]2^2[/tex] j + (5/4)k

r( [tex]t_0[/tex]) = 2 i + 4j + (5/4)k

Differentiating with respect to 't' we get,

r'(t) = i + 2t j + 0

r'(t) = i + 2t j ------------------------(2)

Now to find r'( [tex]t_0[/tex] ), we will substitute [tex]t_0[/tex] = 2 in the equation (2), and we will get,

r'( [tex]t_0[/tex] ) = i + 2 [tex]t_0[/tex] j

r'(2) = i + 2(2) j

r'( [tex]t_0[/tex]) = i + 4 j

Now, sketching the vectors r([tex]t_0[/tex]) and r'([tex]t_0[/tex]) we get the following graph.

Let us draw the graph of r(t) as follows and plot the vector r([tex]t_0[/tex]) <2, 4, 5/4> and draw the vector. Then to draw the vector for r'([tex]t_0[/tex]) <1, 4>, we will go 1 unit further from r([tex]t_0[/tex]) vector on the x-axis and 4 units further from r([tex]t_0[/tex]) on the y-axis. Then draw the vector tangent to the graph of r(t).

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What is the measure of DAB?

Answers

Answer:

180-24=156

So 156 is your answer

Pls mark brainliest

Step-by-step explanation:

for the forecasting process to be effective, internal data should be multiple choice highly aggregated. highly disaggregated. sampled once a year. none of the options are correct. kept on an annual basis.

Answers

For the forecasting process to be effective, internal data should be highly disaggregated

Predicting the future based on historical and current facts is the forecasting process. The most popular method for doing this is trend analysis. It is typically ideal to use internal data that is significantly disaggregated for forecasting to be successful. This means that rather than aggregating or summarizing the data at a high level, it should be broken down into as much detail as feasible.

Since highly disaggregated data presents a more complete and precise picture of the variables that may impact future events, forecasting can be done more accurately and dependably. This can include information about previous sales, manufacturing rates, inventory levels, costs, and other elements that can be important for forecasting. Whereas, using highly aggregated data can lead to less accurate and reliable forecasts, as it may not capture the full range of factors that may influence future outcomes.

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6x ( 2/3 divided by 2)+ 0.5

Answers

Answer:

2.5

Step-by-step explanation:

Given expression:

[tex]6 \times \left(\dfrac{2}{3} \div 2\right)+0.5[/tex]

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

[tex]\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5[/tex]

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

[tex]\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5[/tex]

[tex]\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5[/tex]

[tex]\implies 6 \times \left(\dfrac{2}{6}\right)+0.5[/tex]

[tex]\implies 6 \times \dfrac{2}{6}+0.5[/tex]

Now carry out the multiplication:

[tex]\implies \dfrac{6 \times2}{6}+0.5[/tex]

[tex]\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5[/tex]

[tex]\implies 2+0.5[/tex]

Finally carry out the addition:

[tex]\implies 2.5[/tex]

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5

the following bar chart shows the number of wins for four middle-school basketball teams. each team played 12 games.

Answers

Based on the bar chart provided, the statement not supported is team B won 60% of its games. (Option B)

A bar chart refers to a type of graph that organizes information into a graphic using bars of different lengths. The length of these bars is proportional to the size of the information they represent. In the given bar chart, the number of wins for four middle-school basketball teams is presented. On the x-axis the teams are presented, which are team A, B, C, and D, who each play 12 games. On the y-axis their corresponding frequencies of win are presented. As per the data provided, team A won 9 games (75% of their games), team B won 6 games (50% of their games), team C won 7 games (58% of their games), and team D won 4 games (33% of their games). As team B won 50% of their game, option B is incorrect.

Note: The question is incomplete. The complete question probably is: The following bar chart shows the number of wins for four middle-school basketball teams. Each team played 12 games. Which of the following statements is not supported by the bar chart? a. team A won 75% of its games b. team B won 60% of its games c. team C won 7 games d. team D won less than half of its games e. team C won 2 fewer games than team A.

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Answers

Answer: I believe it's the second one. each input only has one output

Step-by-step explanation:

No! This is not a function.

A function must have a unique domain values mapped to range values, so x cannot repeat with different outputs or range values. Think of it like x cannot “cheat” with more than one y “partner.”

Suppose that a random sample of 41 state college students is asked to measure the length of their right foot in centimeters. A 90% confidence interval for the mean foot length for students at this university turns out to be (21.709, 25.091). If we now calculated a 95% confidence interval, would the new confidence interval be wider than or narrower than or the same as the original?

Answers

Answer:

In general, a confidence interval with a higher confidence level will be wider than a confidence interval with a lower confidence level. This is because a higher confidence level corresponds to a larger margin of error, which leads to a wider confidence interval.

Therefore, if you calculate a 95% confidence interval, the new confidence interval will be wider than the original 90% confidence interval. This is because the 95% confidence interval will have a larger margin of error, which will cause the confidence interval to be wider.

It's worth noting that the width of a confidence interval depends on the sample size, the standard deviation of the population, and the confidence level. If the sample size or the standard deviation changes, the width of the confidence interval may also change, even if the confidence level remains the same.

Using confidence interval concepts, according to the margin of error, the 90% confidence interval would be narrower than the 95% confidence interval.

The margin of error of a confidence interval is given by:

m = z a/n

In which:

z is the critical value.

is the population standard deviation.

n is the sample size.

The higher the margin of error, the wider the interval is.

The lower the confidence interval, the lower the critical value is. Hence, a 90% confidence interval has a lower critical value than a 95% confidence interval, leading to a smaller margin of error and a narrower interval

Below is the output of a linear regression using data from the May 1985 Current Population Survey by the US Census Bureau. The variables used in the model are as follows: wage: Hourly wage paid to a worker, in US dollars. education: Number of years of education. age: Age in years. sector: Factor with levels manufacturing, construction, other. What hourly wage would you predict for a 45 year old male with 12 years of education who is working in manufacturing? Please round numbers to one digit after the decimal to simplify your calculations.

Answers

The hourly wage would you predict for a 45 year old male with 12 years of education who is working in manufacturing is $8.3497.

Here we have given that below is the output of a linear regression using data from the May 1985 Current Population Survey by the US Census Bureau.

We need find the hourly wage would you predict for a 45 year old male with 12 years of education who is working in manufacturing.

While we looking into the given question, the regression line can be drawn by using the minimum hourly wage in 2000 and 15 is

=> 2000 x 15 = 7x +3 - [5R²].

Here we have to know that why is white people different from black people that is A.

Then if X is at ourselves and the minimum hourly wage in 2020 is

=> 1.147 x 30 + 3.945 = $8.3497

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Use the FORECAST.LINEAR (see note if you are using Excel 2007) in cell G17 to forecast the sales for Firebox Upgrade kits next month if you expect Firebox combos to be $4,600. Be sure 7 to reference the projected combo sales in cell G19 and the monthly sales information in the data table. [6 points)

Answers

To forecast the sales of Firebox Upgrade kits for the following month using the FORECAST.LINEAR function in Excel, you will need a column of data for the known sales of Firebox Upgrade kits and a column of data for the known sales of Firebox combinations.

There must also be a cell with the projected value for Firebox combos for the upcoming month.

use the FORECAST.LINEAR function, you will need to enter the following formula in cell G17:

=FORECAST.LINEAR(G19,A2:A11,B2:B11)

This formula will utilise the data in the ranges A2:A11 for the known sales of Firebox Upgrade kits and the data in the ranges B2:B11 for the known sales of Firebox combos to forecast the sales of Firebox Upgrade kits for the upcoming month based on the anticipated value for Firebox combinations in cell G19.

The predicted sales of Firebox Upgrade kits for the upcoming month will be the formula's output.

If you are using Excel 2007, you must use the FORECAST function rather than FORECAST.

LINEAR. Although the syntax for the FORECAST function is slightly different, the basic idea is the same.

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1/5(5x-5)+3x=-9(1/3x+9)

Answers

The solution to the equation, 1/5(5x - 5) + 3x = -9(1/3x + 9), is solved as x = -80/7.

How to Find the Solution of an Equation?

The solution to an equation is that value of the variable in the equation, of which when plugged into the equation will make the equation true.

If the equation is true, it means the quantity on the right side is the same or balanced with the quantity on the left side of the equation.

To find the value of the equation, take the variable and make it stand alone on one side of the equation in order to determine it value.

Given the equation, 1/5(5x - 5) + 3x = -9(1/3x + 9), solve for x as shown below:

1/5(5x - 5) + 3x = -9(1/3x + 9) [given]

Use the distributive property to clear out the parentheses:

1/5(5x) + 1/5(-5) + 3x = -9(1/3x) -9(+9)

x - 1 + 3x = -3x - 81

Combine like terms:

4x - 1 = -3x - 81

4x + 3x = 1 - 81

7x = -80

Divide both sides by 7:

7x/7 = -80/7 [division property of equality]

x = -80/7

Therefore, the solution to the equation is x = -80/7.

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In the past year, Latoya watched 28 movies that she thought were very good. She watched 80 movies over the whole year. Of the movies she watched, what percentage did she think were very good?

Answers

Answer:

35% of the movies Latoya watched over the past year were movies that she thought were very good.

Step-by-step explanation:

To find out what percentage of the movies Latoya watched she thought were very good, we need to divide the number of movies she thought were very good by the total number of movies she watched and then multiply by 100 to express the answer as a percentage.

We can set up the following equation to solve the problem:

(28 movies / 80 movies) * 100% = x%

Solving the equation, we find that x = 35%.

Answer:

question demands what percentage is 28 of 80.

Step-by-step explanation:

so let it be x?,

x=28/80 × 100

x = 35%

hope it helps

peace

the file p07 14.xlsx contains a very small population of only five members. for each member, the height of the person is listed. the purpose of this problem is to let you see exactly what a sampling distribution is. find the exact sampling distribution of the sample mean with sample size 3. round your answer to four decimal places, if necessary.

Answers

The exact sampling distribution of the sample mean with sample size 3 is 4.5092

Given:

the file p07 14.xlsx contains a very small population of only five members

for each member, the height of the person is listed.

the purpose of this problem is to let you see exactly what a sampling distribution is.

find the exact sampling distribution of the sample mean with sample size 3.

mean of sampling distribution is:

= 68.667

standard deviation of the sampling distribution

= 4.509

excel:

SAMPLE MEAN = AVERAGE(F6:F8) 68.66667

SAMPLE STANDARD

DEVIATION= = STDEV(F6:F8) 4.50925

Hence we get the required answer.

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The residents of State A complain that their property taxes are too high compared with resident with State B. Which of the following would NOT be a justification for the higher property taxes in state A? a. Quality of school system b. The number of people that live in the state c. Property values d. Voting day in state A is Tuesday compared to Thursday in state B e. Quality of roads

Answers

The one which not a justification for the higher property taxes in state A would be: Voting day in state A is Tuesday compared to Thursday in state B. The correct answer is D.

Why are property taxes so high in the US?

Property taxes fund schools, libraries, police and fire departments, along with public works such as roads, parks, and playgrounds. They're essential to our communities, but that doesn't make them any easier to pay. For the appraisal of a taxable property, property tax is determined as a percentage of your home's value, so the more your home increases in value, the higher your property tax bill will increase. And the high property taxes have nothing to do with voting day in any state.

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Tell which of the following distributions would have the least variation a.Weights of 20 year old women b.Weights of adult men c.Weights of 20-year olds d.Weights of all adults

Answers

From the given distributions, the distribution that would have the least variation is weights of 20-year-old women. (Option A)

A variation refers to a relation between a set of values of one variable and a set of values of other variables. Hence, in a distribution, variability indicates how far apart points lie from each other and from the center of a distribution or a data set. Variability is also referred to as spread, scatter, or dispersion. There are many ways to describe variability or spread including range, interquartile range (IQR), and variance and standard deviation. The variance is defined as the sum of the squared distances of each term in the distribution from the mean (μ), divided by the number of terms in the distribution (N). The distributions which will have least variation would be weights of 20-year-old women, as due to smaller range, the difference between the values and the mean would be smaller as well. Hence, the variance would be least for this distribution.

Note: The question is incomplete. The complete question probably is: From the following distributions, which distributions would have the least variation. (A) Weight of 20-year-old woman (B) Weight of all adult men (C) Weight of all adults (D) Weight of 20 year old.

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compute the sample variance of the data set given by 1, 3, 10, 2, 9, and 6. report your answer to three decimal places.

Answers

The sample variance of the given data set is 5.667. This value was determined by subtracting the mean of the data set from each value, squaring the differences, and then calculating the average of the squared differences.

To calculate the sample variance of the given data set, I first determined the mean by adding all of the values together and then dividing them by the number of values (6). The mean value of the data set was 5. Next, I subtracted the mean from each value and squared the differences to get the squared differences. The squared differences were -4, 4, 25, -3, 16, and 1. I then added all of the squared differences together and divided them by the number of values (6) to get the sample variance of 5.667. This is the final value which was rounded to three decimal places.

Mean = (1 + 3 + 10 + 2 + 9 + 6) / 6 = 5

Squared difference = (-4)^2, (4)^2, (25)^2, (-3)^2, (16)^2, (1)^2

Sample variance = (-4)^2 + (4)^2 + (25)^2 + (-3)^2 + (16)^2 + (1)^2 / 6 = 5.667

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Fluid originally flows through a tube at a rate of 100 cm2/s. To illustrate the sensitivity of flow rate to various factors, calculate the new flow rate for the following changes with all other factors remaining the same as in the original conditions. (a) Pressure difference increases by a factor of 1.50. (b) A new fluid with 3.00 times greater viscosity is substituted. (c) The tube is replaced by one having 4.00 times the length. (d) Another tube is used with a radius 0.100 times the original. (e) Yet another tube is substituted with a radius 0.100 times the original and half the length, and the pressure difference is increased by a factor of 1.50.Final AnswerO 150 cm3/sO 33.3 cm3/sO 25 cm3/sO 0.0100 cm3/sO 0.0300 cm3/s

Answers

The new flow rate for the changes with all other factors remaining the same as in the original conditions are: Q₂ = 150 cm³/s , Q₂ = 33.33 cm³/s, Q₂ =25.0 cm³/s, Q₂ = 0.01 cm³/s, Q₂ = 0.03 cm³/s

What does Poiseulle's equation explain?

The link between pressure, fluidic resistance, and flow rate is described by the Hagen-Poiseuille equation, which is comparable to Ohm's rule for electrical circuits (V = R I), which specifies the relationship between voltage, resistance, and current. The device's length is inversely proportional to its fluidic and electrical resistances.

What is Poiseulle's flow?

Poiseuille flow is channel flow (pressure-induced flow) in a long duct, typically a pipe. It differs from flow that is caused by drag, such Couette Flow.

a) Original flow rate, Q₁ = 100 cm³/s

Based on the Poiseulle's equation

ΔP = (128цLQ/πD⁴)

ΔP₂/ΔP₁ = 1.50

ΔP ∝ Q

ΔP₂/ΔP₁ = Q₂/Q₁

1.5 = Q₂/Q₁

Q₂ = 1.5 Q₁

Q₂ = 1.5 * 100

Q₂ = 150 cm³/s

b)ΔP = (128цLQ/πD⁴)

Q ∝1/ц

Q = k/ц

Q₁ = k/ц₁

Q₂ = k/ц₂

Q₂/Q₁ = ц₁/ц₂

ц₂/ц₁ = 3

ц₁/ц₂ =1/3

Q₂/100 = 1/3

Q₂ = 100/3

Q₂ = 33.33 cm³/s

c)Q ∝1/L

Q = k/L

Q₁ = k/L₁

Q₂ = k/L₂

Q₂/Q₁ = L₁/L₂

L₂/L₁ = 4

L₁/L₂ =1/4

Q₂/100 = 1/4

Q₂ = 100/4

Q₂ =25.0 cm³/s

d) Q ∝ D⁴

Q₂/Q₁ = (D₂/D₁)⁴

2R₂ = D₂

2R₁ = D₁

D₂/D₁ = R₂/R₁ = 0.1

Q₂/Q₁ = 0.1⁴

Q₂/Q₁ = 0.0001

Q₂ = 0.0001Q₁

Q₂ = 0.0001 * 100

Q₂ = 0.01 cm³/s.

e) Q ∝ D⁴∝ΔP∝1/L

Q = k D⁴ΔP/L

Q₂/Q₁ = (D₂/D₁)⁴(ΔP₂/ΔP₁)(L₁/L₂)

D₂/D₁ = R₂/R₁ = 0.1

L₂/L₁ = 1/2

L₁/L₂ = 2

ΔP₂/ΔP₁ = 1.5

Q₂/Q₁ = (0.1)⁴*(1.5)*(2)

Q₂/Q₁ = 0.0003

Q₂ = 0.0003 * 100

Q₂ = 0.03 cm³/s

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6. Johanna rides her motor scooter 10 miles to get to work. She travels at a speed
of 20 miles per hour. She wants to get there faster so she drives 25 miles)
How much less time will it take her to get to work?
hour.
per

Answers

Answer:

To find out how much less time it will take Johanna to get to work if she drives 25 miles per hour instead of 20 miles per hour, you can use the following formula:

time = distance / speed

First, find the time it takes Johanna to get to work at 20 miles per hour:

time = 10 miles / 20 mph = 0.5 hours

Then, find the time it takes Johanna to get to work at 25 miles per hour:

time = 10 miles / 25 mph = 0.4 hours

The difference in time between the two speeds is 0.4 hours - 0.5 hours = -0.1 hours. This means that it will take Johanna 0.1 hours less to get to work if she drives 25 miles per hour instead of 20 miles per hour.

Step-by-step explanation:

Answer:

It takes her 6 min less.

------------------------------------------------

Time for Johanna to get to work:

10 miles / 20 mph = 0.5 hr = 30 min

Time with faster speed:

10 miles / 25 mph = 0.4 hr = 24 min

The difference is:

30 min - 24 min = 6 min

(a) Which numbers are divisible by 2?
(b) Which numbers are divisible by 5?
(c) Which numbers are divisible by 10?
546 310
O
425
O
None of these
O

Answers

Answer:

a)546&310 are divisible by 2.

b)310&425 are divisible by 5.

c)310 is divisible by 10.

Suppose that you have estimated the first five autocorrelation coefficients using a series of length 81 observations and found them to be Lag 2 4 5 Autocorrelation coefficient 0.412 -0.205 -0.332 0.005 0.543 3 Which autocorrelation coefficients are significantly different from zero at the 5% level? Select one: a. The first, second, third, and fifth autocorrelation coefficient b. The first, third, and fifth autocorrelation coefficient c. The second and fourth autocorrelation coefficient. d. The first and fifth autocorrelation coefficient

Answers

b. The first, third, and fifth autocorrelation coefficient.

To determine which of the autocorrelation coefficients are significantly different from zero at the 5% level, you would need to perform a hypothesis test. The null hypothesis would be that the autocorrelation coefficient is zero, and the alternative hypothesis would be that it is not zero. To perform the hypothesis test, you would need to calculate a p-value for each autocorrelation coefficient. The p-value is the probability of observing a test statistic at least as extreme as the one that was actually observed, given that the null hypothesis is true.

If the p-value is less than 0.05, it can be concluded that the autocorrelation coefficient is significantly different from zero at the 5% level. If the p-value is greater than or equal to 0.05, it cannot be concluded that the autocorrelation coefficient is significantly different from zero. Based on this information, the correct answer would be: b. The first, third, and fifth autocorrelation coefficient.

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29 is what percent of 84​

Answers

Answer:

34.52%

Step-by-step explanation:

To find out what percent 29 is of 84, we can use the following percentage formula:

[tex]\text{Percentage} = \left(\dfrac{\text{Part}}{\text{Whole}} \right) \times 100[/tex]

In this case, the "Part" is 29, and the "Whole" is 84.

Plug these values into the formula:

[tex]\text{Percentage} = \left(\dfrac{29}{84} \right) \times 100[/tex]

Now, calculate the percentage:

[tex]\text{Percentage} = 34.5238095...[/tex]

Therefore, 29 is approximately 34.52% of 84.

207) the magnitude of the resultant of two vectors must be greater than or equal to the magnitude of each of these vectors.

Answers

The magnitude of the resultant of two vectors must be greater than or equal to the magnitude of each of these vectors. - False

The magnitude of the vector product formed by two other vectors need not be bigger than or equal to the magnitude of the original vectors. The vector produced when two vectors are added together is known as the resultant. The Pythagorean theorem, which asserts that the square of the magnitude of the resultant is equal to the sum of the squares of the magnitudes of the two vectors, is used to determine the magnitude of the resultant.

According to the angles formed by the two vectors, the magnitude of the results may be larger than, equal to, or less than the magnitudes of the two vectors. The magnitude of resultant will equal the total of magnitudes of two vectors if the vectors are at right angles to one another. The magnitude of resultant will be less than total of the magnitudes of the two vectors if the vectors are not at right angles to one another.

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The circle graph shows the percent of the total population of 54,200 of Springfield living in the given types of housing.
Round your result to the nearest whole number.
Types of Housing
5%
9%
38%
15%
Single Family
Apts
Condo
Townhouse
Duplex
33%
Find the number of people who live in duplexes.
51,490 people
b. 5 people
a.
c. 2710 people
d. 5420 people

Answers

To the nearest whole number, there are 2,710 people who live in duplexes as calculated from the circle graph.

Population overall is 54,200.

Duplex residents make up 5% of the pie chart's total population.

Required:

how many people reside in duplexes

Number of duplex dwellers = percentage of duplex dwellers as shown on the pie chart/100 total population

= 5/100 × 54,200

= 0.05 × 54,200

= 2,710

To the nearest whole number, there are 2,710 people who live in duplexes.

Use a circle graph or pie chart to visualize information and data. A circle graph is frequently used to rapidly and accurately present research results. The arcs of a circle graph represent the proportion of respondents who provided each potential response.

In graph theory, a circle graph is the intersection graph of a collection of a circle's chords. It is an undirected graph with vertices that can be linked to a circle's chords in a fashion that only connects two vertices when their corresponding chords cross. Other names for the circle graph include the pie graph and pie chart.

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g a study based on the association primate ebmarah looked at the average age a baby gorilla leaves it's mother versus the average age a human baby leaves it's mother. naturally they are different, so we don't want a hypothesis test. instead, find an 86% confidence interval for the difference in age to leave mother.

Answers

An 86% confidence interval for the difference in age to leave mother is -3.10091

What is confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given, Gorilla Baby sample

x means x bar here so, [tex]x_{1}[/tex] = 3.21

[tex]s_{1}[/tex] = 0.81

[tex]n_{1}[/tex] = 64

Human Baby sample

x means x bar here so, [tex]x_{2}[/tex] = 19.1

[tex]s_{2}[/tex] = 2.16

[tex]n_{2}[/tex] = 200

Confidence interval needs t score

t score = 1.18

86% confidence interval = [tex]x_{1}[/tex] - [tex]x_{2}[/tex] ± tc [tex]\sqrt{s^{2} {1} / n_{2} + s^{2} {2} / n_{2}[/tex]

= 3.21 - 19.1 ± 1.18 √0.81²/64 +2.16²/200

= 3.21 - 19.1 ± 1.18 √0.033

= -3.10091

An 86% confidence interval for the difference in age to leave mother is -3.10091

The detail question is here,

A study based on the Association primate Ebmarah looked at the average age a baby gorilla leaves it’s mother versus the average age the human baby leaves it’s mother . Naturally they are different , so we don’t want a hypothesis test. Instead, find an 86% confidence interval for the difference in age to leave mother.

Gorilla:

Sampled 64 babies

Stayed with mother on average 3.21 years

Standard deviation: 0.81

Human:

Sampled 200 babies

Stayed with mother on average 19.1 years

Standard deviation: 2.16

Matched pairs standard deviation :0.23

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Give a specific reason why the following set R does not define an equivalence relation on the set {1, 2, 3, 4}.R = {(1, 1), (2, 2), (3, 3), (4, 4), (2, 3), (3, 2), (2, 4), (4, 2)}

Answers

The following set R does not define an equivalence relation, as it is not satisfying the transitive property.

Equivalence relation: In mathematics equivalence relation is a kind of binary relation which is reflexive, symmetric, and transitive.

The given set is {1, 2, 3, 4} which is forming a relation R where R = {(1, 1), (2, 2), (3, 3), (4, 4), (2, 3), (3, 2), (2, 4), (4, 2)}

This relation is following reflexive property as (1, 1), (2, 2), (3, 3), (4, 4) all are present in the relation

This relation is following symmetric property as (2, 3), (3, 2), (2, 4), (4, 2) all are there in the relation

But the relation is not following transitive property as (2,3) ,(4,2) are there but (4,3) is not there in the relation . So it is not transitive.

Therefore the given relation is not an equivalence relation because it is not transitive .

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Write a statement that indicates that the triangles in each pair are congruent.

A. YXZ= UWY
B. XYZ = AWUY
C. ZXY = AUYW
D. ZYX = AWYU

Answers

The statement indicates that the triangles in each pair are congruent as all sides and angles are equal.

What is the meaning of congruency math?

same in size and form

Congruent refers to things that are exactly the same size and form. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

How do you calculate congruency?

According to the AAS rule, two angles and an excluded side from one triangle must equal two angles and an excluded side from another triangle for the two triangles to be considered congruent. Triangle ABC is congruent to triangle QRP in the pictures below if AC = QP, angle A = angle Q, and angle B = angle R.

The statement that indicates that the triangles in each pair are congruent.

all sides and angles of both triangles are equal.

So

A. YXZ= UWY

B. XYZ = AWUY

C. ZXY = AUYW

D. ZYX = AWYU

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Baxter Company reported a net loss of $17,915 for the year ended December 31. During the year, accounts receivable decreased by $5,094, inventory increased by $8,342, accounts payable increased by $15,567, and depreciation expense of $6,823 was recorded. During the year, operating activities

a. used net cash of $17,915

b. used net cash of $1,227

c. provided net cash of $17,915

d. provided net cash of $1,227

Answers

The correct answer is d. provided net cash of $1,227.

The net loss of $17,915 is an outflow of cash, which means that it used net cash. However, the other changes listed in the question are also changes that affected net cash, and they had the opposite effect of the net loss.

The decrease in accounts receivable of $5,094 is an inflow of cash because it represents a reduction in the amount of money that the company is owed. The increase in inventory of $8,342 is an outflow of cash because it represents an increase in the amount of money that the company has invested in inventory. The increase in accounts payable of $15,567 is an inflow of cash because it represents a reduction in the amount of money that the company owes to its creditors. The recording of depreciation expense of $6,823 is an outflow of cash because it represents a non-cash expense.

When you consider all of these changes together, you can see that the net effect on cash was an inflow of $1,227. Therefore, the correct answer is d. provided net cash of $1,227.

jackson bought his first car. he went to an insurance office to get car insurance. which of these types of insurance is the minimum required by law?

Answers

The types of insurance is the minimum required by law is Bodily Injury Liability

What is Insurance?

Insurance is a tool for risk management. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.

What is Bodily Injury Liability?

Bodily injury liability coverage pays for the victims' medical expenses if you are at fault for an automobile accident (not including yourself). In the event that you are sued for damages, this coverage also aids in covering the cost of your defence.

For most drivers, 100/300/100, or $100,000 per person, $300,000 per accident in bodily injury liability, and $100,000 per accident in property damage liability, is the optimum liability coverage.

The types of insurance is the minimum required by law is Bodily Injury Liability

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a recent journal article reported that college students tend to watch an average of 12 hours of television per week. candice, a college senior, believes that college students watch a different amount of television per week than 12 hours. to test her theory, she randomly selects 70 students from her college and asks each student to record the number of hours he/she spends watching television on average each week. when she uses her data to construct a 95% confidence interval, she finds that the interval is from 7.60 hours to 12.37 hours. which of the following is the best way to interpret candice's results based on her confidence interval?

Answers

Candice should reject the null hypothesis as the 95% confidence interval does not contain 12 hours.

Given that,

A recent journal article reported that college students tend to watch an average of television per week = of 12 hours

She randomly selects = 70 students

She uses her data to construct confidence interval = 95%

The interval is from 7.60 hours to 12.37 hours

A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations. Hypothesis testing is used to assess the credibility of a hypothesis by using sample data. Sometimes referred to simply as the "null," it is represented as H0.

So,

We can write,

Average watch hour = 12

Sample size = 70

The 95% Confidence interval lies between 7.60 and 12.37.

Thus, since the average watch of students in her school does not lie within the interval between 7.60 and 12.37, Candice should reject the null hypothesis.

Therefore,

Candice should reject the null hypothesis as the 95% confidence interval does not contain 12 hours.

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Solve For I-4x + 7 = 23X = (2024)

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