The correlation between two scores X and Y is equal to 0.8. If both the X scores and the Y scores are multiplied by 2, the correlation of the transformed scores would be:a) 1.6b) 0.4c) 0.8d) 0.16e) None of these

Answers

Answer 1

The correct answer is (C) 0.8. The correlation between two scores X and Y is equal to 0.8. If both the X scores and the Y scores are multiplied by 2, the correlation of the transformed scores would be 0.8.

The correlation between two variables measures the strength and direction of the linear relationship between them. It is calculated as the covariance of the two variables divided by the product of their standard deviations. When both the X scores and the Y scores are multiplied by 2, the covariance and standard deviations of the transformed scores are also multiplied by 2. Therefore, the correlation between the transformed scores is equal to the correlation between the original scores.

In this case, the correlation between the original scores is 0.8, and the correlation between the transformed scores is also 0.8.

Learn more about Standard Deviation here:

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Related Questions

PLS ANSWER 15 POINTS + BRAINLIEST IF RIGHT!

Tom simplified an expression in three steps, as shown:

x to the power of negative 2 multiplied by y to the power of 4, over y multiplied by x to the power of 4 multiplied by x to the power of 4 multiplied by y to the power of negative 2, the whole to the power of 4

Step 1:

x to the power of 2 multiplied by y to the power of 8, over y to the power of 4 multiplied by x to the power of 8 multiplied by x to the power of 8 multiplied by y to the power of 2

Step 2:

x to the power of 2 multiplied by y to the power of 8, over y to the power of 6 multiplied by x to the power of 16.

Step 3:

x to the power of negative 13 multiplied by y squared


Which is the first incorrect step and why?

Step 1, all the exponents are increased by 4

Step 2, the exponents of the same base are added during multiplication

Step 3, the exponents of the same base are subtracted during division

Step 3, all the exponents are added during division

Answers

Answer:
Step 1, all the exponents are increased by 4


Explanation:
The first incorrect step is Step 1 because you can add exponents during multiplication and subtract exponents during division. Step 3 didn’t happen at all because they subtracted the exponents when dividing

hep me with this question

Answers

x=3 for both of the questions

What is the volume of a sphere with a surface area of 16pi ft^2?

Answers

Answer:

B

Step-by-step explanation:

Sphere Surface Area = 4 • π • r²

For it to equal 16 PI, then radius must equal 2

4*PI*2*2 = 16 PI

Sphere Volume = 4/3 • π • r³

Sphere Volume = 4/3 • π • 2^3

Sphere Volume = 4/3 *PI * 8

Sphere Volume = 32 / 3 PI

Sphere Volume = 10.666 PI cubic feet AND I think that is answer B

which SHOULD read 10 (2/3) PI ft^3

Find AC and BC.

Answers:
14.94
13.46
11.10
10
Please help.

Answers

Step-by-step explanation:

Use Sine rule.

[tex] \frac{ac}{ \sin(b) } = \frac{ab}{ \sin(c) } \\ \frac{ac}{ \sin(90) } = \frac{10}{ \sin(42) } \\ ac \sin(42) = 10 \sin(90) \\ ac = \frac{10 \sin(90) }{ \sin(42) } \\ ac = 14.9 \: units \: (3s.f)[/tex]

Angle A + angle B + angle C = 180 (sum of angles in triangle)

Angle A + 90 + 42 = 180

Angle A + 132 = 180

Angle A = 180 - 132

= 48

[tex] \frac{bc}{ \sin(a) } = \frac{ab}{ \sin(c) } \\ \frac{bc}{ \sin(48) } = \frac{10}{ \sin(42) } \\ bc \sin(42) = 10 \sin(48) \\ bc = \frac{10 \sin(48) }{ \sin(42) } \\ = 11.1units (3sf)[/tex]

You have two pitchers and each can contain 600 ml of liquid. One pitcher is one-third full and contains vinegar. The other pitcher is two-fifths full of vinegar. Oil is added to fill each pitcher completely. The contents of each pitcher are poured into one large container. What fraction of the mixture in the large container is vinegar?

Answers

Answer:

answera c

Step-by-step explanation:

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below. Treatment Observation A 20 30 25 33 B 22 26 20 28 C 40 30 28 22 The null hypothesis for this ANOVA problem is

Answers

Answer:

H0 : //μA = μB = μC

Step-by-step explanation:

Given the data:

Treatment | Observation

A | 20 | 30 | 25 | 33

B | 22 | 26 | 20 | 28

C | 40 | 30 | 28 | 22

To test whether there is a difference between the group means of a sample ; the ANOVA test is employed ;

The appropriate hypothesis test:

The alternative hypothesis will habour the notion that there is a difference in sample means while the alternative will be opposite, that is, no difference exists in the sample means for the three treatments :

Null hypothesis ; H0 : μA = μB = μC ;

The alternative hypothesis, takes the opposite of the null ;

H1 : μA ≠ μB ≠ μC (this means that the mean values of the treatments are not the same

The null hypothesis will

A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?

Answers

Answer:

4 feet is left in the wall

Step-by-step explanation:

If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.

Answer:

2 ft.

Step-by-step explanation:

14 - 10 = 4.

4/2 = 2

You divide beacuse theres space on botrhsides of the painting.

express your answer in scientific notation 4.9x 10^5 - 5.8x 10^4

Answers

Answer:

4.32×10^5

first calculate the left side and the calculate the right side.

finaly substract the result you get when you calculate at the first the result is 4.32 ×10^5

3/4(5a - 16)- 1/3(6a-3)

Answers

Answer:

If you want an expression answer (Simplify):

= 7/4a - 11

If you want an answer to the variable a (Find 'a'):

7/4a - 11 = 0

7/4a = 11

a = 44/7

Step-by-step explanation:

3/4(5a - 16) - 1/3(6a - 3)

= 15/4a - 12 - 2a + 1

= 7/4a - 11

The answer is 44/7. The L.C.M is 12.

Which 2 triangles are similar ​

Answers

Answer:

Triangle A and B

Step-by-step explanation:

The lengths from triangle A is being doubled to make the lengths of triangle B. They also have the same angles.

What is the value of x in the triangle? 25 degrees x 25 degrees

Answers

Answer:

Step-by-step explanation:

0,5

please answer!
The expression 8x − 4 represents the

cost of 8 pairs of socks Emma bought,

less the $4 coupon she had. Which

property is applied to the expression to

write the equivalent expression

4(2x − 1)? Explain.

Answers

Answer:

Step-by-step explanation:

distributive property

which of the following expressions has a coefficient of 10 and a constant of 5
10 + 5x
10+5
10x+5
10-5

Answers

Answer:

sometinng like x^2+ 10x+5

The single number is the constant and the number before the variable(x) is the coefficient

Step-by-step explanation:

help the work hurts meee!!!!!!!!!!!!! and show thee work

Answers

12 in is 1 ft, 5 in is ~0.41 ft, 13 in is ~1.08 ft

16 oz is 1 lb, 9 oz is ~0.56 lbs, 18 oz is ~1.13 lbs

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match each verbal description to its equivalent function rule as applied to the given function below.
f(x) = 7x + 5

Answers

Answer:

-The function f translated 2 units down and 3 units right. > g(x)=7x-18

-The function f stretched vertically by a factor of 3 and translated up by 2 units. > g(x)=21x+17

-The function f stretched vertically by a factor of 2 and translated down by 3 units. > g(x)=14x+7

-The function f reflected about the y-axis and translated 3 units left. >g(x)=-7x-16

Step-by-step explanation:

-A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.

-A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.

-A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.

-A function is reflected about the y-axis when the x-value is multiplied by a negative constant.

Answer:

The function f stretched vertically by a factor of 3 and translated up by 2 units.

g(x)=21x+17

The function f translated 2 units down and 3 units right.

g(x)=7x-18

The function f reflected about the y-axis and translated 3 units left.

g(x)=-7x-16

The function f stretched vertically by a factor of 2 and translated down by 3 units.

g(x)=14x+7

Step-by-step explanation:

Functions can be moved and re-sized by changing the parameters of the function.

A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.

A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.

A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.

A function is reflected about the y-axis when the x-value is multiplied by a negative constant.

find the volume of the cone. Diameter:14 m, Slant Height:25 m​

Answers

Answer:

1232m^3

Step-by-step explanation:

d = 14m

r = 7m

l = 25m

h = ?

h = root l^2- r^2

h = root 25^2- 7^2

h = root 625- 49

h = root 576

h = 24m

volume of cone = 1/3 pie r^2 h

= 1/3*22/7* 7*7*24

= 22*7*8

= 154*8

= 1232m^3

Answer:

1231.5 m³

Step-by-step explanation:

You have to find the height first.

using the Pythagoras rule,

hypotaneous² = base² + height²

25² = 7² + h²

576 = h²

h = √576

h = 24

Volume of cone = 1/3 π r² h

                           = 1/3 * π* 7² * 24

                           = 1231.5 m³

Automobiles manufactured by the Efficiency Company have been averaging 42 miles per gallon of gasoline in highway driving. It is believed that its new automobiles average more than 42 miles per gallon. An independent testing service road-tested 36 of the automobiles. The sample showed an average of 42.8 miles per gallon with a standard deviation of 1.2 miles per gallon. Show all work.
a. With a 0.05 level of significance using the critical value approach, test to determine whether or not the new automobiles actually do average more than 42 miles per gallon.
b. What is the p-value associated with the sample results? What is your conclusion based on the p-value?

Answers

Answer:

Hence, we can conclude that there is no significant evidence to conclude that the new automobile actually do average more than 42 miles per gallon.

Step-by-step explanation:

H0 : μ = 42

H1 : μ > 42

Sample size, n = 36

xbar = 42.8

Standard deviation, s = 1.2

The test statistic :

(xbar - μ) ÷ (s / sqrt(n))

(42.8 - 42) ÷ (1.2 / sqrt(36))

0.8 ÷ 0.2 = 4

Test statistic = 4

Zcritical at 95% for a one - tailed test (right tailed) = 1.645

Test statistic > Critical value ; 4 > 1.645

Since Test statistic > Critical value ; We fail to reject the Null

Hence, we can conclude that there is no significant evidence to conclude that the new automobile actually do average more than 42 miles per gallon.

The Pvalue :

P(Z < 4) = 0.99997

Since,

Pvalue > α

0.99998 > 0.05 ; We fail to reject the Null

Hence, we can conclude that there is no significant evidence to conclude that the new automobile actually do average more than 42 miles per gallon.

What is the solution of 3+x-2/x-3<_4

Answers

Step-by-step explanation:

3+x-2/x-3<_4

cross multiply

3+x-2<_4(x-3)

3+x-2<_4x-12

1+x<_4x-12

collect like terms

1+12<_4x-x

13<_3x

divide both side by 3

13/3<_×

6.5<_x

help! how do i do this?

Answers

Answer:

See below

Step-by-step explanation:

5)

k/x = w - v

Multiply by x to get it out of the denominator of the fraction.

k = wx - vx

Switch the terms so they are easier to work with.

wx - vx = k

Factor x out.

x(w - v) = k

Divide by w - v to get x by itself.

x = k/w - v.

6)

ac = d - r

Divide by c to get a by itself.

a = d/c - r/c

Combine the two fractions to simplify.

a = d-r/c.

You need a 90% alcohol solution. On hand, you have a 55 mL of a 45% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?

Answers

Answer:

495 milliliters of the 95% mixture are needed.

Step-by-step explanation:

Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:

55 x 0.45 + 45 x 0.95 = 67.5

25 x 0.45 + 75 x 0.95 = 82.5

15 x 0.45 + 85 x 0.95 = 87.5

10 x 0.45 + 90 x 0.95 = 90

10 = 55

90 = X

90 x 55/10 = X

4,950 / 10 = X

495 = X

Thus, 495 milliliters of the 95% mixture are needed.

3. The perimeter of a rectangular plot of land is
148m. If its length is 28m greater than its width,
find the dimensions (length and width) of the land.​

Answers

298

Ojtdboudfbfujdyidniphsuhj63)4745893822*0

John withdrew 1/4 of his savings to use as deposit on a new phone.He had 164.00 in his savings account.How did John withdrew for the deposit on the phone

Answers

Answer:

$41

Step-by-step explanation:

Well he withdrew 1/4 of his savings which is basically 1/4 * 164

What number is 5/8 of 56

Answers

Answer:

35

Step-by-step explanation:

Answer:

The answer is 35

Step-by-step explanation:

5/8 x 56

5 x7 = 35

Determine the area of the composite figure.​

Answers

Answer:

240

Step-by-step explanation:

Split the firgue into shapes you know

rectangle and Trapezoid

A = bh

A = 10×6

A = 60

A = 1/2h(b+b)

A = 1/2×12(10+20)

A = 6(30)

A = 180

180 + 60 = 240

240

Answer:

420 cm²

Step-by-step explanation:

Area of composite shapes

To calculate the area of a composite shape you must divide the shape into rectangles, triangles, or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes. Other composite shapes may have cut-out sections.

Solve

To find the composite area of two or more shapes, simply find the area of each shape and add them together.

So,

18 cm × 20 cm = 360

10 cm × 6 cm = 60

Now, add the results together

360 + 60 = 420

Therefore, the area of the composite figure is 420 cm²

Eric spends 4/5 of his pocket money to buy lunches. The rest of the money he will save. If the amount he saves is $2, how much does he spend buying lunch?

Answers

All you need to do is multiply 2 by 5 and you'll get the answer of 10

Help- ;-; i am struggling ;-; I- cant do this--

Answers

Answer:

x is vertical *laying down* y in upward also (x,y) so ifthe first on would be anywhere on the y axis

Find the area of the composite figure below:

Answers

Answer:

[tex] 379 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of the composite figure

= Area of rectangle with dimensions 17 & 11 units + Area of trapezoid with length of parallel sides 11 and 21 units and height (29 - 17 = 12) 12 units.

[tex] = 17 \times 11 + \frac{1}{2} (11 + 21) \times 12 \\ \\ = 187 + 32 \times 6 \\ \\ = 187 + 192 \\ \\ = 379 \: {units}^{2} [/tex]

2
What is the value of x in the equation 3
-18?



-56

-52

52

56

Answers

Answer:

sorry

Step-by-step explanation:

plz send full question

Weight of three books are 23⁄4 kg, 35⁄6 kg and 23⁄8 kg. Find the total weight of all the three books.​

Answers

Answer:

12.54kg

Step-by-step explanation:

(23/4 + 35/6 + 23/8)kg

[tex] = \frac{(23 \times 6) + (35 \times 4) + (23 \times 3)}{24} [/tex]

[tex] = \frac{92 + 140 + 69}{24} [/tex]

= 301/24

= 12.54kg

Sanjay surveyed 95 students at his school about their favorite class. Of the students surveyed, 19 said their favorite was Spanish. What is the experimental probability that the next student Sanjay talks to will pick Spanish?

Answers

Answer:

0.2 = 20% experimental probability that the next student Sanjay talks to will pick Spanish

Step-by-step explanation:

Probability:

A probability is the number of desired outcomes divided by the number of total outcomes.

It is called experimental when both these number of outcomes come from experiences, from a trial, as is the case in this exercise.

What is the experimental probability that the next student Sanjay talks to will pick Spanish?

19 out of 95. So

p = 19/95 = 0.2

0.2 = 20% experimental probability that the next student Sanjay talks to will pick Spanish

no the correct answer is gonna be 1/5

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