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Greeley [361]
3 years ago
14

If the function rule is to divide by 10, and there is an output value is 7.2, what is the input value?

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0
The answer is:  "72" .
______________________________________________
 (input value, or "x")  / 10 = y  = f(x);

When y = 7.2, what is the value of "x" ?


x / 10 = 7.2 ;

x = (7.2) * 10 = 72 .
_______________________
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Question:

If a sample of 2 hammer is selected

(a) find the probability that all in the sample are defective.

(b) find the probability that none in the sample are defective.

Answer:

a Pr = \frac{2}{110}

b Pr = \frac{72}{110}

Step-by-step explanation:

Given

n = 11 --- hammers

r = 2 --- selection

This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities

Solving (a): Probability that both selection are defective.

For two selections, the probability that all are defective is:

Pr = P(D) * P(D)

Pr = \frac{2}{11} * \frac{2-1}{11-1}

Pr = \frac{2}{11} * \frac{1}{10}

Pr = \frac{2}{110}

Solving (b): Probability that none are defective.

The probability that a selection is not defective is:

P(D') = \frac{9}{11}

For two selections, the probability that all are not defective is:

Pr = P(D') * P(D')

Pr = \frac{9}{11} * \frac{9-1}{11-1}

Pr = \frac{9}{11} * \frac{8}{10}

Pr = \frac{72}{110}

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