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Andre45 [30]
3 years ago
7

Find the radius of a circle with an area of 1017.36 in?, Use 3.14 for pi​

Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0

area of a circle = πr², where r = the radius of the circle

We can rearrange the formula to solve for r:

r=\sqrt{\frac{\mathrm{area}}{\pi}}.

Given an area of 1017.36 in² and using 3.14 for our value for π, the radius of our circle would be:

r=\sqrt{\frac{\mathrm{area}}{\pi}} = \sqrt{\frac{\textrm{1017.36 }\mathrm{in^2}}{3.14}} \\ r = 18 \text{ } \mathrm{in^2}.

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Answer:

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Step-by-step explanation:

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A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historic
Rina8888 [55]

Answer:

The probability that none of the LED light bulbs are​ defective is 0.7374.

Step-by-step explanation:

The complete question is:

What is the probability that none of the LED light bulbs are​ defective?

Solution:

Let the random variable <em>X</em> represent the number of defective LED light bulbs.

The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.

A random sample of <em>n</em> = 10 LED light bulbs is selected.

The event of a specific LED light bulb being defective is independent of the other bulbs.

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.

The probability mass function of <em>X</em> is:

P(X=x)={10\choose x}(0.03)^{x}(1-0.03)^{10-x};\ x=0,1,2,3...

Compute the probability that none of the LED light bulbs are​ defective as follows:

P(X=0)={10\choose 0}(0.03)^{0}(1-0.03)^{10-0}

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Thus, the probability that none of the LED light bulbs are​ defective is 0.7374.

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