A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. Thecompany collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.
The test yielded a t -value of 3.34 with a corresponding p -value of 0.001. Which of the following is the correct interpretation of the -value?
a. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001.
b. If the null hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
c. If the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001This answer is incorrect.
d. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
e. If the null hypothesis is true, the probability of observing a test statistic of 3.34 is 0.001.

Answer:

area = 255 [tex]m^{2}[/tex]

perimeter = 20+6.7+8+8+15+26 = 83.7m

Step-by-step explanation:

top left triangle - base is 3 because (20-8-9).  so 1/2 bh = 1/2 (3) (6) = 9

left rectangle = l x w = 20 x 6 = 120

middle square = l x w = 8 x 9 = 72

lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54

9+120+72+54 = 255

Answer:

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

Step-by-step explanation:

Let x represent the length of the first piece.

Since the second piece is 5 ft longer than the first, it can be represented by x + 5

Since the third piece is 1 ft longer than the second, it can be represented by x + 6

Create an equation that adds all of these terms up to 32, and solve for x

(x) + (x + 5) + (x + 6) = 32

3x + 11 = 32

3x = 21

x = 7

So, the first piece is 7 ft long.

Using the expressions we created, solve for the lengths of the second and third pieces.

x + 5

7 + 5 = 12

x + 6

7 + 6 = 13

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

Answer:

14. x=1, x=−9

x^2 + 8x + 20 = 29

x^2 + 8x + 4^2 = 9 + 4^2

(x + 4)^2 = 25

x + 4 = ± 5

15. x = -1/2, x = -3/2

4x^2+8x+3=0

x = -8 ± √8^2-4x4x3/2x4

x = -8 ± √64-4x4x3/2x4

x = -8 ± √64-16x3/2x4

x = -8 ± √64-48/2x4

x = -8 ± √16/2x4

x = -8 ± √4/2x4

x = -8 ± √4/8

x = -4/8

x = -1/2

x = -12/8

x = -3/2

16. -36

Use the values of  a,  b, and  c  to find the discriminant.

17. x=2, x=−2

3x^2 + 5 = 17

3x^2 + 5 - 17 = 0

3x^2 - 12 = 0

x^2 - 4 = 0

(x−2)(x+2)=0

x=2  x=−2

18. x=12

, x=−12

x^2 = 144

x^2 - 144 = 0

(x−12)(x+12)=0

x=12,

x=−12

19. x=2√5+3, x=3−2√5  

x−3=2√5

x−3=−2√5

x−3−(−3)=2√

5−(−3)

x−3−(−3)=−2√5−(−3)

x=2√

5−(−3)

x=−2√5−(−3)

x=2√5+3

x=3-2√5

20. t = -√24-h/4+1, t = √24-h/4+1, h≤24

Word bank:

A) zeroes

B) axis of symmetry

C) y-value of the vertex

Step-by-step explanation:

I hope this helps!

Answer:

j = 23 years-old s = 92 years old.

Step-by-step explanation:

j = s - 70

s = 4j

j = 4j - 70

-3j = -70

j = 70/3

j = 23

s = 92

Answer:

A

Step-by-step explanation:

A function assigns the value. The function on which the extreme value theorem can be applied is f(x)=x/(x-6)².

A function assigns the value of each element of one set to the other specific element of another set.

In a function for the extreme value theorem to be applicable, the function must be continue between the given interval.

The denominator of the first function will not continue when the value of x= 6, which is not in the interval [3,5). Therefore, the extreme value theorem is applicable.

To verify if the system will continue or not, you can plot the graph of the function, and look between the interval if the function continues or not. As shown below.

Hence, the function on which the extreme value theorem can be applied is f(x)=x/(x-6)².

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Answer:

area = 255 [tex]m^{2}[/tex]

perimeter = 20+6.7+8+8+15+26 = 83.7m

Step-by-step explanation:

top left triangle - base is 3 because (20-8-9).  so 1/2 bh = 1/2 (3) (6) = 9

left rectangle = l x w = 20 x 6 = 120

middle square = l x w = 8 x 9 = 72

lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54

9+120+72+54 = 255

Answer:

7920

Step-by-step explanation:

Calculator

Answer:

1230

Step-by-step explanation:

i multipled to see what i was gone get

Answer:

Radius is 13

13 x 3.14 x 2 = 81.64

Formula of circumference:

2 x pie(3.14 or 22/7) x r (radius

The value of x in given figure is 100°

An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called the sides of the angle, and they can be measured in degrees or radians.

An angle can be classified as acute, right, obtuse, or straight, depending on its measure. An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a straight angle is exactly 180 degrees.

According to question

In ΔABC ,

∠ C is 100°

So,the value of x is also 100°( by vertically opposite angle)

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Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

If the angle is x, its supplement is 180°-x.

x = (180°-x) - 78°

x = 51°

supplement = 180°-x = 129°

The angles are 51° and 129°

Answer:

1 Factor out the common term 22.

2(x+3y)=6

2(x+3y)=6

2 Divide both sides by 22.

x+3y=\frac{6}{2}

x+3y=

2

6

3 Simplify \frac{6}{2}

2

6

to 33.

x+3y=3

x+3y=3

4 Subtract 3y3y from both sides.

x=3-3y

x=3−3y

Answer:

x=3 and y=2

Step-by-step explanation:

I hope I"m right and if I am can I be marked brainliest.

Answer:

x=22

Step-by-step explanation:

two interior angles = exterior angle

2x+2x+8=3x+30

4x+8=3x+30

x=30-8

x=22

Answer:

161

(7*11)+(6*14)

answer 161

Step-by-step explanation:

13 feet long

4 feet wide

13 + 4 = 17

feet long

feet wide

= feet wide

so 13 +14 = 17 feet wide

Formart:

18y=15mx/m

I rlly didn’t know what yhu needed

Step-by-step explanation:

I think A is the answer to your question

9514 1404 393

Answer:

  1) 2/3

  2) 5x/2

Step-by-step explanation:

The fraction simplification process involves finding the largest common factor in the numerator and denominator, then dividing that from both.

1)

  [tex]\dfrac{8}{12}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{2}{3}\cdot\dfrac{4}{4}=\dfrac{2}{3}\cdot1 =\boxed{\dfrac{2}{3}}[/tex]

__

2)

  [tex]\dfrac{15x^2}{6x}=\dfrac{5x\cdot3x}{2\cdot3x}=\dfrac{5x}{2}\cdot\dfrac{3x}{3x}=\dfrac{5x}{2}\cdot1=\boxed{\dfrac{5x}{2}}[/tex]

Answer:

25+25, 40+10, 35+15 If that's your question, not sure. But if you mean what's divisible by 50, maybe 10, 5

Step-by-step explanation:

Answer: If m=2, then 28 divided by 2 equals 14. Plug m into the equation.

Answer:

I KNOW THE ANSWER ITS  5000

Step-by-step explanation:

SUB to sir sir bmgo

Answer: D 1,500

Step-by-step explanation:

Because there is 2,000 milliliters in 2 liters, so if we do 2,000 - 500 we get 1,500 left

Answer:

Both A and D

Step-by-step explanation:

Because 500 milliters is half of one liter which makes the total 1.5 liters or 1500 mililliters

Answer:

130°-85°=45°

x=45°

Hope it will help you

Answer:

B she will score over 8 points 4 times

Step-by-step explanation:

Answer:

LEavel ^ 9-8=1

Step-by-step explanation:

Answer:

one third of the volume

Step-by-step explanation: