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OverLord2011 [107]
4 years ago
13

How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the

mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: = 52, S = 22. Give the null and alternative hypotheses to determine if the number of tissues used during a cold is less than 60.
Mathematics
1 answer:
yuradex [85]4 years ago
7 0

Answer:

For this case we know that they have a sample size of n =100. And we want to test if the mean number of tissues during a cold is less than 60 "That represent the alternative hypothesis" and the complement would be the null hypothesis.

Null hypothesis: \mu \geq 60

Alternative hypothesis: \mu

Where \mu represent the mean of tissues. And for this case we need to use a test takign in count the distribution for the mean of interest.

Step-by-step explanation:

For this case we know that they have a sample size of n =100. And we want to test if the mean number of tissues during a cold is less than 60 "That represent the alternative hypothesis" and the complement would be the null hypothesis.

Null hypothesis: \mu \geq 60

Alternative hypothesis: \mu

Where \mu represent the mean of tissues. And for this case we need to use a test takign in count the distribution for the mean of interest.

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Answer:

Part A: A linear function because there is a constant rate change.

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4 years ago
Can someone explain how to do problems like <br> (-2+4) or (4+ -6)
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Answer:

All you have to do is just add the numbers inside the parenthesis. (4+-2) is the same as 4-2 which is equal to 2. (4+-6) is the same as 4-6 which is equal to -2.

Step-by-step explanation:

If this has helped please mark as brainliest

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3 years ago
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Which number line shows the solutions to x&lt;5
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where is the number line?

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Akimi4 [234]

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I believe it is 1.) SAS (angle side angle) 2.) SSA (side side angle), but can not be proven as a postulate, so not enough information, 3.) SAS (side angle side) 4.) SSS (side side side)

Step-by-step explanation:

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3 years ago
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A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square pr
guajiro [1.7K]

Step 1

Find the Volume of the two balls

we know that

the Volume of a sphere is equal to

V=\frac{4}{3} \pi r^{3}

In this problem we have

r=1.5\ in

Substitute

V=\frac{4}{3} \pi 1.5^{3}=4.5\pi\ in^{3}

so

the volume of the two balls is equal

V=2*4.5\pi=9 \pi\ in^{3}

Step 2

Find the volume of a cylinder

we know that

The Volume of a cylinder is equal to    

V=\pi r^{2}h

In this problem we have

r=1.5\ in

h=4*r=4*1.5=6\ in    

Substitute

V=\pi (1.5^{2})(6)=13.5 \pi\ in^{3}

Step 3

Find the amount of wasted space in the cylinder

Subtract the volume of the two balls from the volume of the cylinder

13.5\pi\ in^{3}-9\pi\ in^{3}=4.5\pi\ in^{3}=14.14\ in^{3}    

Step 4

Find the volume of the square prism

The volume of the prism is equal to

V=Bh

where

B is the area of the base of the prism

h is the height of the prism

In this problem we have

B=(2*1.5)^{2}=9\ in^{2} -----> the base is equal to the diameter    

h=4*r=4*1.5=6\ in  

Substitute

V=9*6=54\ in^{3}

Step 5

Find the amount of wasted space in the prism

Subtract the volume of the two balls from the volume of the prism

54\ in^{3}-9\pi\ in^{3}=25.73\ in^{3}  

Step 6

Compare the amount of wasted space

the amount of wasted space in the cylinder is 14.14\ in^{3}

the amount of wasted space in the prism is  25.73\ in^{3}

Find the difference

25.73\ in^{3}-14.14\ in^{3}=11.59\ in^{3}=11.6\ in^{3}

The package that has the least amount of wasted space is the cylinder

therefore

<u>the answer is the option</u>

the cylinder because it has approximately 11.6 in.3 less wasted space than the prism

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3 years ago
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