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Nastasia [14]
2 years ago
15

Recent studies indicate that the typical 50-year-old woman spends $350 per year for personal-care products. The distribution of

the amounts spent follows a normal distribution with a standard deviation of $45 per year. We select a random sample of 40 women. The mean amount spent for those sampled is $335.
Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0

Answer:

P ( x_bar > 335 ) = 0.9826

Step-by-step explanation:

Given:

- Mean amount u = 350

- standard deviation s.d = 45/year

- Sample size n = 40

Find:

- The probability of sample mean P( x_bar > 335 )

Solution:

- P ( x_bar > 335 ) = P ( Z > sqrt(n)*(x_bar - u)/s.d)

                             = P ( Z > sqrt(40)*(335-350)/45)

                             = P ( Z > -2.111) = P ( Z < 2.111)

                             =  0.5 + P( 0 < Z < 2.111)

                              = 0.5 + 0.4826

                             = 0.9826

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.<br> Write the ratio. Explain what the ratio means.<br> 1.golf balls to golf tees
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2 years ago
A highway has an optional toll lane that drivers may take to reduce the time they spend driving. Drivers pay a small fee to ente
sergiy2304 [10]

Answer:

A.$ 0.25 +7x

B. 8.25/x miles

C. 5.27/x  miles

Note : $x is the cost of using the toll lane per mile

Step-by-step explanation:

In this case, you are given;

Small fee to enter the toll lane= ($0.25)

Fee to leave the lane= miles covered × cost to travel the line per mile

Lets cost of using the lane per mile= $ x

A.

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=$0.25 + (x ×7)

= $ 0.25 +7x

B.

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Fee of using lane =$0.25

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($8.25)÷ ($x)

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C.

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Total amount contributed by all passengers for using the toll lane= $1.38×4=$5.52

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If you know the value of x which is the cost of using the toll lane per mile, then you can substitute this value in the expressions to get exact figures.

3 0
2 years ago
It is known that the highest weekly average price for gasoline in California during 2005 was $3.15 per gallon and the lowest wee
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Answer:

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Step-by-step explanation:

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By the Range Rule:

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The standard deviation of the weekly average price for gasoline is approximately $0.15.

NOTE: You divide by 4 not 6.

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