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sergij07 [2.7K]
3 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]3 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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Find the unknown side length, x. write your answer in simplest radical form.
amid [387]

Answer:

Unknown side length is 2\sqrt{119}

C is correct.

Step-by-step explanation:

We are given a right angle triangle whose two sides are 24 and 10.

As shown in figure 24 is longest side. It would be hypotenuse of triangle. 10 would be length of one leg and x would be length of another leg.

It is right angle triangle. Using pythagoreous theorem find out another leg (x)

Pythagoreous theorem:

a^2+b^2=c^2

where, a=x, b=10 and c=24

x^2+10^2=24^2

x^2=576-100=476

x=\sqrt{476}

x=2\sqrt{119}

Thus, Unknown side length is 2\sqrt{119}

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In the word flashlight what is the ratio of vowels to total letters
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Step-by-step explanation:


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What is the equation of a line, in Slope Intercept Form, with a slope of 4 and passes through the point (1, 6)?
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The slope-intercept form:

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