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3 years ago

8

If it takes 16 men 15 days to complete a work,how long will it take 20 men?

2 answers:

ASHA 777 [7]3 years ago

6 0

Answer:

10 days and 16 hours.

Step-by-step explanation:

15 men work in 16 days to complete the work. So 1 man contributes 16/15 days.

For 20 men there is an addition of 5 men. [20–15)* 16/15] days = 16/3 days. Substract 16/3 days from 16 days = 16 - (16/3) = 10 days and 16 hours.

igor_vitrenko [27]3 years ago

5 0

Answer:

12

Step-by-step explanation:

Let 20 men will take x days to complete the work.

Since, there is a relation of inverse proportion between no of men and no of days.

Therefore,

$20x = 16 \times 15 \\ \\ x = \frac{240}{20} \\ \\ x = 12$

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a certain pharmaceutical company know that, on average 4% of a certain type of pill has an ingredient that is below the minimum

FinnZ [79.3K]

Using the binomial distribution, it is found that there is a 0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

For each pill, there are only two possible outcomes, either it is acceptable, or it is not. The probability of a pill being acceptable is independent of any other pill, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The sample has 20 pills, hence $n = 20$ .

100 - 4 = 96% are acceptable, hence $p = 0.96$

The probability that <u>fewer that 5 in a sample of 20 pills</u> will be acceptable is:

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

In which

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

$P(X = 0) = C_{20,0}.(0.96)^{0}.(0.04)^{20} = 0$

$P(X = 1) = C_{20,1}.(0.96)^{1}.(0.04)^{19} = 0$

$P(X = 2) = C_{20,2}.(0.96)^{2}.(0.04)^{18} = 0$

$P(X = 3) = C_{20,3}.(0.96)^{3}.(0.04)^{17} = 0$

$P(X = 4) = C_{20,4}.(0.96)^{4}.(0.04)^{16} = 0$

0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

A similar problem is given at brainly.com/question/24863377

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2 years ago

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WARRIOR [948]

Answer:

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y=65 (vertically opposite angle)

Step-by-step explanation:

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