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jonny [76]
3 years ago
9

A leading magazine like (Barron’s) reported at one time that the average number of weeks an individual is unemployed is 28 weeks

. Assume that for the population of all unemployed individuals the population mean length of unemployment is 28 weeks and that the population standard deviation is 2.7 weeks. Suppose you would like to select a random sample of 80 unemployed individuals for a follow-up study.
1. Find the probability that a single randomly selected value is greater than 27.6.
P(X>27.6)= ________ (enter your answers as numbers accurate to 4 decimal places)
2. Find the probability that a sample of size n=80 is randomly selected with a mean greater than 27.6.
P(M>27.6)=________ (enter your answers as numbers accurate to 4 decimal places)

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0

Answer:

(al The required probability is= 0.5589

(b)The required probability is= 0.9074

Step-by-step explanation:

The detailed explanation of answer is given in attached files.

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The length of a rectangle is six times its width.
Hoochie [10]

Answer:

Length = 30

Width = 5

Step-by-step explanation:

So the formula for perimeter is

P = 2L+2W

And we know that:

L = 6W

So then we put in all the information that we do know

70 = 2(6W)+2W

And pop that into a calculator and you get W=5

So now we put that information into L = 6W to get:

L = 6×5

L = 30

3 0
3 years ago
The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet, wh
brilliants [131]
The correct answer is choice C.  Here is the reason.  If you substitute the information into the formula this is what it would be:
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13 = x (6x + 1)/2
13 = (6x^2 + x)/2
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0 = 6x^2 + x - 26
4 0
3 years ago
Chelsea by 8 packs of markers. Each pack contains the same number of markers. Chelsea gives 10 markers to her brother. Then she
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Answer:

8 marker

Step-by-step explanation:

You would add 10 to 54 and then divide by 8.

4 0
3 years ago
Dan built a deck that is 5 feet long and 5 feet wide. He built another deck that is 5 feet long and 7 feet wide. How do the area
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There is a 10 square feet difference between both decks.
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Read 2 more answers
At time (t) hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg, remaining in the body is give
Mice21 [21]
1)we calculate the amount of the drug is left in the body 2 hours after the dose is administered.
t=2
A(t)=14(08)^t
A(t)=14(0.8)²=14(0.64)=8.96

Answer: after of two hours the amount of drug left in te body is 8.96 mg.

2)we calculate the time required to stay in the body 1 mg of drug.

A(t)=1
14(0.8)^t=1   
ln [14(0.8)^t]=ln1
ln14+tln(0.8)=0
tln(0.8)=-ln 14
t=-ln 14 / ln (0.8)
t=11.8267...≈11.83

Answer: the time required is 11.83 hours  (≈11 hours, 49 minutes, 48 seconds).

5 0
4 years ago
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