Can y’all help me solve this?

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:

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:

1/6

Covert simplest

1/3÷2

1/6

Answer:

14 glasses

Step-by-step explanation:

3.5 (liters) times 10 (cartons) = 35 (liters)

(1 liter = 1,000 milliliters)

(35 liters = 3,500 milliliters)

3,500 (liters) divided by 250 (milliliters) = 14 glasses

The greatest number of glasses of orange juice that Sam can sell will be 140 glass.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Sam sells orange juice by the glass, and each glass contains 250 milliliters of orange juice.

Sam has 10 cartons that each contain 3.5 liters of orange juice.

Then the total amount of orange juice will be

Total amount = 10 x 3.5

Total amount = 35 liters

We know that one liter is equal to 1000 milliliters.

Then the total amount of the orange juice in milliliters will be

Total amount = 35 x 1000

Total amount = 35,000 milliliters

Then the greatest number of glasses of orange juice that Sam can sell will be

Total number of glass = 35,000 / 250

Total number of glass = 140 glass

The greatest number of glasses of orange juice that Sam can sell will be 140 glass.

More about the ratio and the proportion link is given below.

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Answer:

a 5

b49

c76

Step-by-step explanation:

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:

C is the answer

Step-by-step explanation:

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:

yes I think square root of 11 is irrational no....

Answer:

8 in

Step-by-step explanation:

? = a

a² + b² = c²

a² + 15² = 17²

a² + 225 = 289

a² = 289 - 225

a² = 64

[tex]\sqrt{a^2} =\sqrt{64}[/tex]

a = 8

Answer:

H

Step-by-step explanation:

Answer:

H. -5x-50

Step-by-step explanation:

just distribution property

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:

Reduced fat had the greater spread.

Step-by-step explanation:

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:

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

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:

Simply take the number of miles each day and multiply it by the number of days. 57.9 miles × 7 days = 405.3 miles

Answer: 405.3 miles

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

Total square feet = length x width:

19 x 12 = 228 square feet.

Total cost = total square feet x price per square feet:

Total cost = 228 x 8 = $1,824

Answer:

12

Step-by-step explanation:

4 x 3

Answer:

C. They are equal

Step-by-step explanation:

Both have the same volume 24

Both Figure have same Volume.

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

Cone:

Volume of Cone = 1/3 πr²h

                            = 1/3 (3.14)(3)²8

                            = 75.36 unit³

Cylinder:

Volume of Cylinder = πr²h

                                = (3.14)(2)²6

                                = 75.36 unit³

Thus, Both figures have Equal volume.

Learn more about Volume here:

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Answer:

[tex]\sin(30)[/tex]

Step-by-step explanation:

Given

[tex]\sin(23) \cos(7) + \cos(23) \sin(7)[/tex]

Required

An equivalent expression

The above is an illustration of the sine formula which states:

[tex]\sin(A) \cos(B) + \cos(A) \sin(B) = \sin(A + B)[/tex]

In this case:

[tex]A = 23\\ B = 7[/tex]

So:

[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(23 + 7)[/tex]

[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(30)[/tex]

Hence, an equivalent expression is: [tex]\sin(30)[/tex]

Answer:

p > 220

Explanation:

This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.

Good luck ^^

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.