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2 years ago

A machine produces 374 bolts in 33 minutes. At the same rate, how many minutes would it take to produce 272 bolts?

Mathematics

2 answers:

ikadub [295]2 years ago

8 0

The answer is 24 minutes

lesya [120]2 years ago

4 0

374 = 33
272 = x

374/33 = 272/x

x=(33*272)/374=24 minutes

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First option: <span>The signs of the values of m and b are the same.</span>

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Answer:

a. $P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

b. $E(x) = 0.3$

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d. $E=5,000$

Step-by-step explanation:

The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.

So, the PMF of X is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:

$P(x)=\frac{3!}{x!(3-x)!}*0.1^{x}*(1-0.1)^{n-x}\\$

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Therefore, the company can expect to win 0.3 bids and it is calculated as:

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Finally, the probability to won 1, 2 or 3 bids is equal to:

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So, the expected profit for the company is equal to:

$E=-10,000+50,000(0.243)+100,000(0.027)+150,000(0.001)\\E=5,000$

Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.

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2 years ago

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Answer:

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In the picture attached, the drawn of the situation is shown

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From definition:

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