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damaskus [11]
3 years ago
11

Two different suppliers, A and B, provide a manufacturer with the same part. All supplies of this part are kept in a large bin.

in the past, 5% of the parts supplied by A and 9% of the parts supplied by B have been defective. A supplies four times as many parts as B. Suppose you reach into the bin and select a part, and find it is nondetective. What is the probability that it was supplied by A
Mathematics
1 answer:
koban [17]3 years ago
5 0

Answer:

The probability of selecting a non-defective part provided by supplier A is 0.807.

Step-by-step explanation:

Let <em>A</em> = a part is supplied by supplier A, <em>B</em> = a part is supplied by supplier B and <em>D</em> = a part is defective.

<u>Given</u>:

P (D|A) = 0.05, P(D|B) = 0.09

A supplies four times as many parts as B, i.e. n (A) = 4 and n (B) = 1.

Then the probability of event <em>A</em> and <em>B</em> is:

P(A)=\frac{n(A)}{n(A)+N(B)}= \frac{4}{4+1}=0.80\\P(B)\frac{n(B)}{n(A)+N(B)}= \frac{1}{4+1}=0.20

Compute the probability of selecting a defective product:

P(D)=P(D|A)P(A)+P(D|B)P(B)\\=(0.05\times0.80)+(0.09\times0.20)\\=0.058

The probability of selecting a non-defective part provided by supplier A is:

P(A|D')=\frac{P(D'|A)P(A)}{P(D')} = \frac{(1-P(D|A))P(A)}{1-P(D)}\\=\frac{(1-0.05)\times0.80}{(1-0.058)}\\ =0.80679\\\approx0.807

Thus, the probability of selecting a non-defective part provided by supplier A is 0.807.

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Stuart pays back two student loans over a 4-yr period. One loan charges the equivalent of 3% simple interest and the other charg
Ugo [173]

Answer:

The first loan L1 = $20,000

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This is the loan with 5.5% simple interest

Step-by-step explanation:

L1 + L2 = $24,000 ...(1)

4(3% of L1) + 4(5.5% of L2) = $3,280 ...(2)

Where the first term in equation (2) represents the total interest paid on loan 1 after 4 years

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From equation (1), we single out L1

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3 years ago
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The area of a triangle is 30 square feet. If<br> the base is 4 feet, then what is the height?
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Explanation:
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Answer:

\frac{(p + 2)m}{p}

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

<em>The question shows a direct proportion between cups of rice and cups of water.</em>

<em>So, the first step is to get the proportionality constant (k)</em>

<em />

This is calculated using the following expression;

m = k * p

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

k = \frac{m}{p}

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

k = \frac{x}{p + 2}

Equate both expressions of k; to give

\frac{m}{p} = \frac{x}{p + 2}

Multiply both sides by p + 2

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(p + 2) * \frac{m}{p} =x

x = (p + 2) * \frac{m}{p}

x =  \frac{(p + 2)m}{p}

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