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telo118 [61]
3 years ago
7

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and

each large box has 400 nails. The contractor bought 3 times as many large boxes as small boxes, which altogether had 2500 nails. Determine the number of small boxes purchased and the number of large boxes purchased.
Mathematics
2 answers:
Rainbow [258]3 years ago
6 0

Answer:

Step-by-step explanation:

2500/2=1250

1250/400=3.125

1250/50=25

SVETLANKA909090 [29]3 years ago
4 0

Answer:

There were 2 small boxes purchased and 6 large boxes purchased.

Step-by-step explanation:

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Answer:

a) P(X=5) = 0.065

b) P(X≥1) = 0.928

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d) The standard deviation of the number of repeat offenders is 2.

Step-by-step explanation:

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a) Find P(X =5)

Using the binomial distribution formula:

P(X = x) = ⁿCˣ pˣ qⁿ⁻ˣ

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b) We need to find the probability that at least one person is a repeat offender which means at most there can be 25 repeat offenders hence, we need to compute the probability for all values ranging from 1 to 25. The easy way to solve this problem is to find out the probability of less than one repeat offender and then subtract the value from the total probability (i.e. 1).

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d) The standard deviation of the binomial distribution is:

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So, the standard deviation of the number of repeat offenders can be computed as:

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