1) The endpoints of AB are A(-3, 8) and B(4,5). If AB is
dilated by a scale factor or 2, what is the slope and length
of A'B?

Answer:

The correct answer is D)

Step-by-step explanation:

To find the volume of a sphere, you need to use the formula [tex]\frac{4}{3}\pi r^3[/tex]. Since the radius of the sphere is 7.5 inches, you can use that to solve the volume. [tex]\frac{4}{3}\pi *7.5^3[/tex] = [tex]\frac{4}{3}\pi *421.875[/tex] = [tex]562.5*\pi[/tex] ≈ [tex]1767.15in^3[/tex], which is closest to [tex]1767.21in^3[/tex], so that is the correct answer.

Answer:

46

Step-by-step explanation:

We are given that a  class's test scores are normally distributed with an average score of 60.

We know that the curve of a normal distribution is symmetric about its mean.

60-14=46

60+14=74

Hence, the point 46 lies to the left of the mean and 74 lies to the right of the mean, and the two points have the same function value.

Answer: Look at the picture below

Step-by-step explanation: I got this right on Edmentum

Answer:

Simplified expression: [tex]\frac{1}{y+8 }[/tex].

The value of y that makes the expression undefined is y=-8.

Step-by-step explanation:

[tex]\frac{2y^{3}}{2y^{4}+16y^{3}}[/tex]

= [tex]\frac{2y^{3}}{2y^{3}(y+8) }[/tex]

(cancel out 2y³)

=[tex]\frac{1}{y+8 }[/tex]

A rational expression is undefined when the denominator (bottom number) is  zero. So, if y equalled -8, the expression would ultimately equal [tex]\frac{1}{0}[/tex], which is undefined.

Answer:

The dietitian should conclude that there is no significant evidence to support the claim that the number of hours teenagers exercise per week has increased.

Step-by-step explanation:

H0 : μ = 6.5

H1 : μ > 6.5

The test statistic value = 3.30

The critical value > test statistic

The Decison region :

If; test statistic > critical value (Fail to reject H0)

If; test statistic < Critical value (Reject H0)

Given that the test statistic is > critical value ; then we fail to reject the null

Hence, the dietitian should conclude that there is no significant evidence to support the claim that the number of hours teenagers exercise per week has increased.

Answer:

100 pi in ^2

Step-by-step explanation:

The surface area of a sphere is

SA = 4 pi r^2

   We need to find the radius

r = d/2 = 10/2 =5

 SA = 4 * pi * (5)^2

       = 4 * pi *25

       = 100 pi in ^2

Answer:

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 170cm and standard deviation of 7.5 cm.

This means that [tex]\mu = 170, \sigma = 7.5[/tex]

Find the probability that a randomly selected male has a height > 180 cm.

This is 1 subtracted by the pvalue of Z when X = 180. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{180 - 170}{7.5}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a pvalue of 0.9082

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

Answer:

C is the answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

base×height÷2=area

2×8÷2=8

Answer:

Since the calculated value of t =-0.427 does not  fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the  age of onset of symptoms and age of diagnosis is  25 months  .

Step-by-step explanation:

The given data is

Difference d= -24 -12 -55 -15 -30 -60 -14 -21 -48 -12 -25 -53 -61 -69 -80

∑ d= -579

 ∑d²= 29871

1) Let the hypotheses be

H0: ud= 25 against the claim    Ha: ud ≠25

H0 : mean difference in the  age of onset of symptoms and age of diagnosis is  25 months  .

Ha:   mean difference in the  age of onset of symptoms and age of diagnosis is not 25 months.

2) The degrees of freedom = n-1= 15-1= 14

3) The significance level is 0.05

4) The test statistic is

t= d`/sd/√n

The critical region is ║t║≤ t (0.025,14) = ±2.145

d`= ∑di/n= -579/15= -38.6

Sd= 23.178  (using calculators)

Therefore

t= d`/ sd/√n

t= -38.6/ 23.178√15

t= -1.655/3.872= -0.427

5) Since the calculated value of t =-0.427 does not  fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the  age of onset of symptoms and age of diagnosis is  25 months  .

Answer:

First, you need to find the number 2/5 on the number line.

Now, you want to find (3/4) times (2/5)

Then the distance between 0 and the point you found earlier needs to be divided into four equal parts (because the denominator is 4)

sAnd because we have the factor (3/4), with a numerator equal to 3, we move from the origin 3 of these parts to the right, the point at where you arrived is the point (3/4)*(2/5)

Another way, which should give you the exact same point, is:

First locate the point (3/4) on the number line.

Now, you want to find (3/4) times (2/5)

The distance between zero and the denominator needs to be divided into 5 parts (because the denominator is 5)

Because the numerator is 2, you need to move, from the origin, two of these parts to the right.

The point where you end is the product (3/4)*(2/5)

Answer:

x = 3 and x = -2

Step-by-step explanation:

The given equation is :

[tex]x^2-x-6=0[/tex]

We need to solve the given equation.

We can solve it using Completing the Square method.

We take two numbers such that their product is -6 and sum is -1.

So,

[tex]x^2-x-6=0\\\\x^2+2x-3x-6=0\\\\x(x+2)-3(x+2)=0\\\\(x-3)(x+2)=0\\\\x=3\ and\ x=-2[/tex]

so, the values of x are 3 and -2.

The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

Step-by-step explanation: Sorry if this doesn't help....

Answer:

[tex]5x^2+8x-7=0\\a=5\\b=8\\c=-7[/tex]

Step-by-step explanation:

The standard form of a quadratic is [tex]ax^2+bx+c=0[/tex]. You need to subtract the x^2 from the right to set the quadratic equal to 0. Then a,b, and c are equal to the values of the coefficients in front of the terms.

If this helped, a brainliest would be greatly appreciated!

it would take him 32 minutes. You could use divisoin and multiplecation to figure it out

Answer:

x = -1 and y = 2

Step-by-step explanation:

3(5x - 6y = -17)

5(-3x - 5y = -7)

-----------------------      Add the two equations together

-43y = -86

y = 2

5x - 6(2) = -17          Substitute y with 2 in the first equation to get the value of x

x = -1

Answer:

x = -1

y = 2

Step-by-step explanation:

5x - 6y = -17

-3x - 5y = -7

I will eliminate variable x first:

Multiply the first equation by 3

15x - 18y = -51

Multiply the second equation by 5

-15x - 25y = -35

Now subtract the second equation from the first equation:

15x - 18y = -51

-15x - 25y = -35

0x - 43y = -86

-43y = -86

Divide both sides by -43

Negative + Negative = Positive

y = 2

Now eliminate variable y:

Multiply the first equation by 5

25x - 30y = -85

Multiply the second equation by -6 (Negative switches all of the signs)

18x + 30y = 42

43x + 0y = -43

43x = -43

Divide both sides by 43

x = -1

Check work:

5(-1) - 6(2) = -17

-5 - 12 = -17

-17 = -17

Correct

-3(-1) - 5(2) = -7

3 - 10 = -7

-7 = -7

Correct

Answer:

either 9 or 27

Step-by-step explanation:

most likely 27 because 3x3x3

Answer:

Cube number of 3 is 27

Step-by-step explanation:

cube of 3 is like 3×3×3 =27

Answer:

H

Step-by-step explanation:

Answer:

H. -5x-50

Step-by-step explanation:

just distribution property

Answer:

g = -600

Step-by-step explanation:

Answer:

x = 7

y = 16

upper 2 sides = 12

lower 2 sides = 19

Step-by-step explanation:

2x + 5 = x + 12

combine like terms:

x = 7

y - 4 = x + 5

y - 4 = 7 + 5

combine like terms:

y = 16

Upper sides = 7 + 5 = 12

Lower sides = 7 + 12 = 19

Answer:

60 units^2

Step-by-step explanation:

area of triangle=base*height/2=8*15/2=120/2=60 units^2

Answer:

The answer would be 60 units ^2

Step-by-step explanation:

To find the area of a triangle, the formula is b x h (base times height) divided by 2. So in this case, the base would be 8 and the height would be 15. 8x15 = 120 divided by 2 (since it's a triangle) and the answer would be 60.

Step-by-step explanation:

The area of a square is

[tex] {s}^{2} [/tex]

where s is the side length.

It is given that the smaller square side length is s so that means the area of that smaller square is the formula above.

The longer square is twice the side length of the side length of the smaller square.

Since all squares have equal sides, that means all the side are twice than the smaller square sides.

We can represent that larger square area by

(4s) squared

To find how many smaller squares it would take to fill the larger square divide the formula by each other.

(4s)÷s squared =4

the answer would be 2/16 or 1/8 :)

Answer:

Sorry that's hard I don't n know the answer

Answer:

1/6

Covert simplest

1/3÷2

1/6