if the correlation between two variables is 0.496, what is the coefficient of determination? a. 0.246 b. 0.496 c. 0.754 d. 0.504

\( \: \: \: \: \: \)

\((x,y) = ( - 8,0)\)

\( \: \: \: \: \)

Answer and Step-by-step explanation:

a - b = 2

\(\frac{3b}{3a}\) = \(\frac{b}{a}\)

b = a - 2

a = b + 2

______________

b = b + 2 - 2

b = b

______________

______________

a = a - 2 + 2

a = a

______________

If a equals 0, then the expression is undefined.

If b = 0, then the expression is 0.

There are infinite number of solutions when a is not 0 and the numbers are positive.

#teamtrees #PAW (Plant And Water)

In case of linear function the graph will be a straight line as the change is constant in every interval. But in case of non-linear function, instead of straight line the graph will generate curve line as the change is not constant in every interval.

Answer:

\(2 \sqrt{3} \times \sqrt{7} = 2 \sqrt{21} = 2 \times 4.58 = 9.16\)

I hope I helped you^_^

Given the probabilities P(A) = 0.7, P(Ac) = 0.3, P(B|A) = 0.4, and P(B|Ac) = 0.8, the joint probabilities can be calculated as follows: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.12, and P(Ac and Bc) = 0.18.

The joint probability P(A and B) represents the probability of events A and B occurring simultaneously. It can be calculated using the formula P(A and B) = P(A) * P(B|A). Given that P(A) = 0.7 and P(B|A) = 0.4, we can multiply these probabilities to obtain P(A and B) = 0.7 * 0.4 = 0.28.

It can be calculated as P(A and Bc) = P(A) * P(Bc|A). Since the complement of event B is denoted as Bc, and P(Bc|A) = 1 - P(B|A), we can calculate P(A and Bc) as P(A) * (1 - P(B|A)) = 0.7 * (1 - 0.4) = 0.42.

Finally, P(Ac and Bc) represents the probability of both event A and event B not occurring. It can be calculated as P(Ac and Bc) = P(Ac) * P(Bc|Ac). Using P(Ac) = 0.3 and P(Bc|Ac) = 1 - P(B|Ac), we can calculate P(Ac and Bc) as P(Ac) * (1 - P(B|Ac)) = 0.3 * (1 - 0.8) = 0.18.

Therefore, the joint probabilities are: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.24, and P(Ac and Bc) = 0.18.

Learn more about joint probability here:

https://brainly.com/question/30224798

#SPJ11

a. The sampling method that I would use for the given scenario is stratified random sampling.

b. The sampling method that I would use for the given scenario is systematic sampling.

Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.

In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.  

Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.

EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.

Learn more about systematic sampling here:

https://brainly.com/question/28963265

#SPJ11

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

for such more question on litres

https://brainly.com/question/27877215

#SPJ8

Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

B=28

Step-by-step explanation:

The required return rate is 12.5%. The value of the stock is calculated by discounting the future dividends and the price target back to the present value that is $36.0153

To compute the value of the stock, we can use the formula for the dividend discount model:

Value of Stock = Dividend / \((1 + Required Return Rate)^n\) + Dividend / \((1 + Required Return Rate)^{(n+1)}\) + Price Target / \((1 + Required Return Rate)^{(n+2)}\)

In this case, the dividends are $2.55 and $2.70, the required return rate is 12.5%, and the price target is $40. The dividends are discounted back to the present value using the required return rate, and the price target is discounted back two years. By plugging in the values into the formula and calculating, we can find the value of the stock.

Using the given values, the value of the stock with a required return of 12.5% is calculated as follows:

Value of Stock = $2.55 /\((1 + 0.125)^1\) + $2.70 / \((1 + 0.125)^2\) + $40 /\((1 + 0.125)^2\)

Value of Stock ≈ $36.0153

Learn more about dividends here:

https://brainly.com/question/21291606

#SPJ11

Answer:

1.84

Step-by-step explanation:

Answer:

You answer would be 1.84

Step-by-step explanation:

Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

To determine who has the best conclusion among Joe, Collin, Paulina, and Quannah, let's evaluate each statement in relation to the given grade distribution:

A. Joe said the average grade was a 75.

Since we have the grade distribution, we can calculate the average grade to verify Joe's statement. However, the distribution alone is not sufficient to determine the average grade. We would need additional information such as the exact values within each grade range. Therefore, we cannot determine if Joe's conclusion is the best based solely on the given information.

B. Collin said almost 15% made between a 91 and a 100.

Based on the given grade distribution, we can calculate the percentage of students who fall within the range of 91-100. In this case, it is 10 students out of a total of 35 students. So, the percentage is approximately 28.6%, not close to 15%. Therefore, Collin's conclusion is not accurate based on the given information.

C. Paulina said most of the class made between a 71 and an 80.

Considering the grade distribution, the largest number of students (12) falls within the range of 71-80. Thus, Paulina's conclusion aligns with the data and can be considered the best conclusion based on the given information.

D. Quannah said that most of the students understood the concepts that were not tested.

The given grade distribution does not provide information about the understanding of concepts. It solely represents the distribution of grades. Therefore, Quannah's conclusion cannot be determined based on the given information.

hence, Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.

To learn more about the average visit:

https://brainly.com/question/20118982

#SPJ4

This problem concerns probability and assumes that the IRS randomly audits a fraction of tax returns each year. The query is about a married couple that filed separate returns, and it wants to know how likely it is that both will be audited, just one will be audited, neither will be audited, and at least one will be audited. The problem assumes that the percentage of audited tax returns is set at 20%.

(a) The probability that both the husband and wife will be audited is equal to the product of the individual probabilities:

P(both audited) = 0.2 * 0.2 = 0.04

(b) The probability that only one of them will be audited is the sum of the probabilities that the husband is audited and the wife is not, and vice versa:

P(only one audited) = 0.2 * 0.8 + 0.8 * 0.2 = 0.32

(c) The probability that neither one of them will be audited is the complement of the probability that at least one of them will be audited:

P(neither audited) = 1 - P(at least one audited) = 1 - (0.2 * 0.8 + 0.8 * 0.2 + 0.2 * 0.2) = 0.36

(d) The probability that at least one of them will be audited is equal to one minus the probability that neither of them will be audited:

P(at least one audited) = 1 - P(neither audited) = 1 - 0.36 = 0.64

Learn more about probability and statistics:

https://brainly.com/question/27342429

#SPJ11

Answer:

C. 9/8

Step-by-step explanation:

\( \frac{6}{8} \div \frac{8}{12} \)

Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:

\( \frac{6}{8} \times \frac{12}{8} \)

multiply the numerator together:

6 × 12 = 72

multiply the denominator together:

8 × 8 = 64

now the fraction is:

\( \frac{72}{64} \)

simplify further by dividing both numbers by 8:

72 ÷ 8 = 9

64 ÷ 8 = 8

so the fraction is 9/8

Answer:

$15,000 commission total revenue

Step-by-step explanation:

250000 x 0.06 = 15000

= $15,000

Answer:

the missing side T-F is 8. the missing side F-K is 3.

Step-by-step explanation:

hope I helped

Answer:

(SR*ST)+(FK*KL)=66cm²

Step-by-step explanation:

RL=ST+F K

9= 6+x

F K=3

T F=8

Area of this figure= (3*2)+(6*10)

=6+60=66 cm²

Answer:

DSSD

Step-by-step explanation:

Hello there! :)

If Mark has 4 times as many songs as Chloe, then it means that we must take the amount of songs Mark has and divide it by 4 to figure out how many songs Chloe has.

440:4=110 songs

So Chloe has 110 songs.

If Cici has 42 pairs of shoes, and Aubree has half of 42, then it means that in order to figure out how many pairs of shoes Aubree has, we must take 42 and divide it by 2. So Aubree has 21 pairs of shoes.

Tito walked 3 more miles than Danielle. Danielle walked 2 miles.

3+2=5 miles

Tito walked 5 miles.

Hope this helps and good luck! :)

\(GraceRosalia\)

Answer:

The first statement

Step-by-step explanation:

If x^2=100, then x can not only equal 10, but it can also equal -10.

Linear equation is the equation in which the highest power of the unknown variable is always 1.The equation which helps determine the distance x on each side of the mirror is ,

\(x+3+x=18\).

The length of the mirror is 36 inches.

The length of the wall is 18 feet.

The linear equation has to find out for the distance x.

Linear equation is the equation in which the highest power of the unknown variable is always 1.

As one feet is equal to the 12 inches. Thus the length \(l\) of the mirror in the feet is,

\(l=\dfrac{36}{12}\)

\(l=3\)

The mirror is 3 feet wide.

The distance on each side of the mirror is x. This distance is equal at both side as the mirror is centered. The distance on each side of the mirror is,

\(=x+x\).

Now the the wall is 18 feet wide which is equal to the distance each side of the mirror and the distance of the mirror. As the mirror is 3 feet wide. Thus the equation which determine the distance x on each side of the mirror can be given as,

\(x+3+x=18\)

Hence the equation which helps determine the distance x on each side of the mirror is ,

\(x+3+x=18\).

Learn more about the linear equation here;

https://brainly.com/question/2263981

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

The classroom had 24 glue bottles.

We have,

If the ratio of glue sticks to glue bottles is 7 : 4, we can express this as 7/4.

We can set up a proportion to solve for the number of glue bottles:

7/4 = 42/x

where x is the number of glue bottles. To solve for x, we can cross-multiply:

7x = 4 x 42

7x = 168

x = 24

Therefore,

The classroom had 24 glue bottles.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

For more questions on equations

https://brainly.com/question/29174899

#SPJ8

Step-by-step explanation:

the midpoint has actually the coordinates that are halfway between the x coordinates and halfway between the y coordinates.

so, whatever we have to subtract from T to get to the midpoint, we have to subtract again to get to S.

for x we get

10 - 5 = 5

so, we need to subtract another 5 for the x coordinate of S.

that is then 5 - 5 = 0.

for y we get

19 - 29 = -10

so, we need to subtract another 29 for the y coordinate of S.

that is then -10 - 29 = -39

S = (0, -39)

Answer:

13

Step-by-step explanation:

9+4=13

when dividing, exponents subtract

Answer:

The Answer is 20^13

Step-by-step explanation:

to solve this equation all you have to do really is look at the exponents

anytime your dividing an exponent its subtraction so if the top is 20^k and ur looking for k look at the other numbers we have on the bottom of the fraction

20^4 and we have the answer as 20^9 , all we have to do it add the exponents 4 and 9 to get 13

High Hopes ^^

Barry

Putting forecast errors into perspective is best done using MAPE and MAD. These are two common measures of forecast accuracy that can help evaluate the performance of a forecasting model and put forecast errors into perspective.

MAPE (Mean Absolute Percentage Error) measures the average absolute percentage difference between actual and forecasted values. This metric is useful because it expresses forecast accuracy in relative terms, allowing us to compare forecast errors across different data sets and time periods. However, it can be sensitive to extreme values and can be misleading when dealing with small or negative actual values. MAD (Mean Absolute Deviation) measures the average absolute difference between actual and forecasted values, without regard for direction. This metric is more robust to extreme values and is easier to interpret than MAPE, making it a popular choice for evaluating forecast accuracy. Using MAPE and MAD, we can identify areas where the forecasting model is performing well and where it needs improvement. By putting forecast errors into perspective, we can make informed decisions about how to adjust our forecasting approach to improve accuracy and reliability.

Learn more about forecast here

https://brainly.com/question/24730207

#SPJ11

what is the ratio of the two people in simplest form

kojo s distance is to yaws distance

this is to say that 250m/ 60m. : 300m/60m

this is dividend by 60m because it is the same time

now divide by 60 each

4.2m. is to 5

put simply. that 4.2:5.0

a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.

b) Nyoko cannot find a value of b so that the equation has no solutions.

The equation 1 is given as follows:

6x - 5 + 2x = 4(2x - 1) - 1.

Combining the like terms and applying the distributive property, the simplified equations are given as follows:

8x - 5 = 8x - 4 - 1

8x - 5 = 8x - 5.

As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.

The equation 2 is given as follows:

3x + 7 = bx + 7.

A system of linear equations will have zero solutions when:

As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Since the value function places a higher weight on losses than gains, we can conclude that the individual is loss averse.

In prospect theory, loss aversion refers to the tendency for individuals to weigh losses more heavily than gains. The value function provided exhibits this behavior by assigning a higher value to gains and a lower value to losses.

For wealth (w) greater than 20, the value function v(w) = w^(1/2) indicates that gains are valued positively, with the square root function reflecting a concave shape that diminishes the marginal value of additional gains.

On the other hand, for wealth (w) below 0, the value function v(w) = -(-w)^(1/2) reflects the negative value assigned to losses. The square root function applied to negative wealth also exhibits concavity, emphasizing the aversion to losses.

To know more about loss averse,

https://brainly.com/question/28592664

#SPJ11

Answer:

After 18.32 seconds washer men will be at the same height.

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Two window washers start at the heights shown. (A: 21 ft high rising 8 in per second. The other is 50 feet high descending 11 inches per second) one is rising one is descending. How long does it take for the two window washers to reach the same height? Explain

Two window washers are moving in opposite directions.

First window washer is at 21 ft and rising with the speed of 8 inches per second.

Second window washer is at 50 feet and descending with the speed of 11 inches per second.

Since 1 feet = 12 inches

Therefore, 21 feet = 21×12 = 252 inches

Similarly, 50 feet = 50 × 12 = 600 inches

Let both the window washer takes 't' time to be at the same height.

Height of the first window washer after t seconds = (252 + 8t) feet

Height of the second window washer after t seconds = (600 - 11t) feet

Since both are at the same height after time 't',

(252 + 8t) = (600 - 11t)

8t + 11t = 600 - 252

19t = 348

t = 18.32 seconds

Therefore, after 18.32 seconds washer men will be at the same height.