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OverLord2011 [107]
3 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]3 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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Harold cut 18 1/2 inches off a rope that was 60 inches long. How is the length of the remaining rope written in decimals?
kvasek [131]

Answer:41.5

If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope.

Step-by-step explanation:

7 0
3 years ago
Jason is cutting a roll of sausage into pieces that are 1/2 inches thifk if the roll is 6 inchew long how many pieces of sausage
e-lub [12.9K]

Answer:

12 rolls

Step-by-step explanation:

Jason wants to cut roll into pieces that are each 1/2 inches thick. 1/2 is equal to 0.5, so thickness of each roll is 0.5 inches

Total length of the roll is 6 inches. We have to find how many small 0.5 inch rolls can he cut.

In simple words we can say that we have to find: how many 0.5 inches can be out from 6 inches. This type of problem is solved by division. Dividing 6 inches by 0.5 inches will give us: How many 0.5 inches can be cut out from 6 inches i.e. how many 0.5 inches roll can be made from 6 inches roll

6 divided by 0.5 is 12.

This means Jason can cut 12 rolls of sausages each with thickness of 0.5 inches from a roll of 6 inches.

7 0
3 years ago
Is this a supplementary angle or a complementary angle or neither?? number 1
algol13

Answer:

its neither

Step-by-step explanation:

supplementary means the angles would equal 180° and complementary means the Angel's would equal 90°

in this case the angles equal to neither.

7 0
3 years ago
Read 2 more answers
What is the area of triangle DEF?
FrozenT [24]

Answer:

A=2\sqrt{14}\ units^2

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.  

so

A=\sqrt{s(s-a)(s-b)(s-c)}

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

a=5\ units,b=6\ units,c=3\ units

<em>Find the semi-perimeter s </em>

s=\frac{5+6+3}{2}=7\ units

Find the area of triangle

A=\sqrt{7(7-5)(7-6)(7-3)}

A=\sqrt{7(2)(1)(4)}

A=\sqrt{56}\ units^2

simplify

A=2\sqrt{14}\ units^2

3 0
2 years ago
A $16,000 robot depreciates linearly to zero in 10 years. (a) find a formula for its value as a function of time, t, in years.
SVETLANKA909090 [29]

We are given, cost of the robot for 0 number of year = $16,000.

0 represents initial time of the robot.

After 10 year cost of the robot is = $0

The problem is about the number of the years and cost of the robot over different number of years.

So, we could take x coordinate by number of hours and y coordinate for y number of hours.

So, from the problem, we could make two coordinates for the given situation.

(x1,y1) = (0, 16000) and (x2,y2) = (10, 0).

In order to find the function of time, we need to find the rate at which robot rate depreciates each year.

Slope is the rate of change.

So, we need to find the slope of the two coordinates we wrote above.

We know, slope formula

Slope (m) = \frac{y2-y1}{x2-x1}

Plugging values in formula, we get

m=\frac{0-16000}{10-0} = \frac{-16000}{-10} = -1600.

Brecasue of depreciation we got a negative number for slope or rate of change.

Therefore, rate of depreciation is $1600 per year.

We already given inital cost, that is $16,000.

So, we can setup an a function

f(x) = -1600x + 16000.

But the problem is asked to take the variable t for time.

Replacing x by t, we get

f(t) = -1600t + 16000.

8 0
3 years ago
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