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worty [1.4K]
3 years ago
11

GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION

Mathematics
1 answer:
ira [324]3 years ago
3 0

Answer:

Step-by-step explanation:

 

THE ANSWER IS : C

=

2

π

r

=

2

π

71

≈

446.10616

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Turn 2/4 into 4/8
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Beatrice takes out a loan of $10,000 with 8.9% interest rate that is compounded annually.
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Answer: $14,450.00

Step-by-step explanation:

$10,000 + 8.9% (5)

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The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la
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Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A total of 15 devices will be used.

This means that n = 15

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that p = 0.05

What is the probability that one of the devices fail?

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

36.58% probability that one of the devices fail

7 0
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Find the exact value of: sin13pi/8
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<span>Use half angle formula for cos(x): </span>
<span>cos²(x/2) = (cos(x) + 1) / 2 </span>
<span>Let x = π/4 </span>
<span>cos²(π/8) = (cos(π/4) + 1) / 2 </span>
<span>cos²(π/8) = (√(2) / 2 + 1) / 2 </span>
<span>cos(π/8) = √(√(2) / 4 + 1/2) </span>

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If 500x =500 then x equals?
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