The number of calories in fruit smoothies varies from brand to brand. The population distribution of calories is strongly skewed to the right. The central limit theorem says that:___________
a. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is exactly Normal.
b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.
c. as the number of brands of fruit smoothies increases, their average calorie count gets ever closer to the mean μ for all fruit smoothies of this type.
d. the average amount of calories of a large number of fruit smoothie brands has a sampling distribution with the same shape (strongly skewed) as the population distribution.
e. the average calorie count of a large number of fruit smoothie brands has a sampling distribution with a similar shape but not as extreme (skewed, but not as strongly) as the population distribution.

Answer:

Width = 16 cm

Length = 12 cm

Step-by-step explanation:

Let the width of the rectangle be represented as x

Width = x cm

Length = (x - 4) cm

Area = L*W = 192 cm²

Thus:

x * (x - 4) = 192

x² - 4x = 192

x² - 4x - 192 = 0

Factorize

x² - 16x + 12x - 192

x(x - 16) +12(x - 16)

(x - 16)(x + 12)

x = 16 or x = -12

Width cannot be a negative number, therefore, the width of the rectangle = x = 16 cm

Width = x = 16 cm

Length = (x - 4) cm = (16 - 4) = 12 cm

Answer:

6/2

Step-by-step explanation:

The slope of the given line is 3/1, Option D is correct.

The given line is passing through the points (1, 3) and (-1, -3)

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Plug in the values of points  (1, 3) and (-1, -3) in the formula.

m= -3-3/-1-1

=-6/-2

Divide numerator and denominator by 2

We get 3

Slope of the line is 3.

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Answer:

b a d                

Step-by-step explanation:

Answer:

B & D

Step-by-step explanation:

pls give crown

Answer:

50 m

Step-by-step explanation:

Formula:

V = lwh

V = (5)(4)(5/2)

V = 20 (5/2)

V = 50

Answer:

[tex]1\frac{1}{2}[/tex] miles = 7920 feet

2[tex]\frac{1}{2}[/tex] miles = 13200 feet

3[tex]\frac{1}{2}[/tex] miles = 18480 feet

4[tex]\frac{1}{2}[/tex] miles = 23760 feet

5[tex]\frac{1}{2}[/tex] miles = 29040 feet

6[tex]\frac{1}{2}[/tex] miles = 34320 feet

Explanation:

1 mile = 5280 feet

[tex]\frac{1}{2}[/tex] miles = 2640 feet

to convert miles into feet, multiply the whole numbers by 5280 and add 2640 to find your overall feet

2[tex]\frac{1}{2}[/tex] : 2 x 5280 + 2640 = 13200 ft

3[tex]\frac{1}{2}[/tex] : 3 x 5280 + 2640 = 18480 ft

4[tex]\frac{1}{2}[/tex] : 4 x 5280 + 2640 = 23760 ft

5[tex]\frac{1}{2}[/tex] : 5 x 5280 + 2640 = 29040 ft

6[tex]\frac{1}{2}[/tex] : 6 x 5280 + 2640 = 34320 ft

Answer:

ant to a wale

Step-by-step explanation:

Answer:

ABCDE is similar to the ZWYXV

Answer:

Step-by-step explanation:

25

Answer:

A

Step-by-step explanation:

use the formula A=pi*r^2 to find the answer

Answer:

34.54 ft2

Step-by-step explanation:

You could figure it out by simply it

Answer:

umm im not really sure about that

Answer:

15/2 or 7.5 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{6}{15} = \frac{3}{x}[/tex]

simply cross multiply

[tex]6x = 45[/tex]

divide both sides by 6

[tex]\frac{6x}{6} = \frac{45}{6}[/tex]

hence x will be equal to [tex]7.5[/tex]

Is it required to for it to be in decimals?

Answer:

D

Step-by-step explanation:

I say D because if you just multiply each number on there you get 210.

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

[tex]H_a: \mu \neq 12[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]

[tex]z = 2.42[/tex]

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Answer: I am not completly sure about this but I think it is D

9514 1404 393

Answer:

Step-by-step explanation:

In early primary education, when you're learning your arithmetic facts, you were probably exposed to math problems that looked like this:

  ___ + 4 = 5

In algebra problems, we give a name to the blank, and we call that name a "variable." In this problem, we have have named the blank "y". The variable in the equation is y.

  y + 4 = 5

__

To answer the math question above, we fill in the blank with the numerical value that makes the statement true. To solve the algebraic equation, we find the value of y that makes the equation true.

__

1 goes in the blank to make the original statement true:

   1   + 4 = 5

1 is a solution to the equation because replacing y with 1 makes 1+4=5 a true statement.

Answer:

A is the correct answer

Answer:

B

Step-by-step explanation:

The first number should represent the lawns, and the second should represent the money he makes on each lawn.

A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.

C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.

D is wrong because it is counting the price up by ten instead of adding 20.

B is right because every lawn is 20 more dollars, and that is what is shown.  

Answer:

can you send me a pic of how it looks because it's confusing to understand

Answer:

76.93 ft^2

Step-by-step explanation:

it equals the whole circle's are divided by 2

Answer:

Step-by-step explanation:

0 1  

 3 3 ⟌ 6 4  

     - 0    

       6 4  

     - 3 3  

       3 1  

Answer:

1) Base RP, and height TQ

2) 56 in²

Step-by-step explanation:

1) Base RP, and height TQ

2) 56 in²

the answer is in the image look at the image to see

Answer:

Mean: 64

Median: 64

Mode: 65

Range: 8

Step-by-step explanation:

Mean: add up all the numbers and divide by how many numbers there are

Median: write them out in lowest to highest and cross off from both ends

Mode: the number that shows up the most

Range: Subtract the highest from the lowest

Answer: sample maximum appears to be biased estimator since it consistently underestimated the population maximum

Answer: Sample maximum appears to be biased estimator since it consistently underestimated the population maximum.

Step-by-step explanation: