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sergij07 [2.7K]
2 years ago
6

Suppose a large shipment of telephones contained 21% defectives. If a sample of size 498 is selected, what is the probability th

at the sample proportion will differ from the population proportion by less than 3%
Mathematics
1 answer:
grandymaker [24]2 years ago
6 0

Answer:

P(-3\% < x < 3\%) = 0.901

Step-by-step explanation:

Given

p = 21\%

n = 498

Required

P(-3\% < x < 3\%)

First, we calculate the z score

z = \sqrt{p * (1 - p)/n}

z = \sqrt{21\% * (1 - 21\%)/498}

z = \sqrt{21\% * (79\%)/498}

z = \sqrt{0.1659/498}

z = \sqrt{0.000333}

z = 0.0182

So:

P(-3\% < x < 3\%) = P(-3\%/0.0182 < z

P(-3\% < x < 3\%) = P(1.648 < z

From z probability, we have:

P(-3\% < x < 3\%) = 0.901

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Answer:

8 am Monday

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From noon Sunday it would be more 20 hours the earliest time there would be a difference of one hour between the two watches' time.

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Answer:

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Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

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Area of sector = \frac{60}{360}*pie*4^2

area = \frac{1}{6}*pie*16

area = \frac{1*16}{6}*pie

area = \frac{16}{6}*pie

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5 0
3 years ago
Suppose you wish to borrow $600 for two weeks and the amount of interest you must pay is $25 per $100 borrowed. What is the APR
Yuliya22 [10]

Answer:

The APR at which the money is borrowed, is approximately 651.79%

Step-by-step explanation:

The amount which one wishes to borrow for two weeks, P = $600

The amount of interest that one must pay back = $25 per $100 borrowed

Therefore;

The total interest on the $600 loan (borrowed) for two weeks = 25/100× $600 = $150

The number of days for which the amount was borrowed = 2 weeks = 14 days

The Annual Percentage Rate, APR is given as follows;

APR = \left (\dfrac{\left (\dfrac{Interest \ Paid \ for \ the  \ Loan \ duration}{The \ amount \ borrowed} \right )}{The \ number \ of \ days \ the \ amount \ was  \ borrowed } \right ) \times 365 \times 100

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