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Mathematics

1 answer:

anzhelika [568]3 years ago

5 0

Answer:

100/10 bbg ;)

Step-by-step explanation:

i forgot the name of the show but ykk

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22% of all resumes received by a corporation for a management position are from females. 18 resumes will be received tomorrow.

Vladimir79 [104]

Answer:

5.80% probability that exactly 1 resume will be from females.

Step-by-step explanation:

For each resume received by the corporation, there are only two possible outcomes. Either they are from a female, or they are not. The probability of a resume received being from a female is independent from other resumes. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

22% of all resumes received by a corporation for a management position are from females.

This means that $p = 0.22$

18 resumes will be received tomorrow.

This means that $n = 18$

What is the probability that exactly 1 resume will be from females?

This is P(X = 1).

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

$P(X = 1) = C_{18,1}.(0.22)^{1}.(0.78)^{17} = 0.0580$

5.80% probability that exactly 1 resume will be from females.

3 0

3 years ago

What is three quarters of £42 and a quarter of £42

maksim [4K]

$three \ quarters \to \frac{3}{4} \\\\ \frac{3}{4} \ of \ 42\£ = \\\\ =\frac{3}{4}*42\£= \\\\ =\frac{3}{2}*21\£= \\\\ =\frac{63\£}{2} = \\\\= \boxed{31.5\£} \\\\\\\ a \ quarter \to \frac{1}{4} \\\\ \frac{1}{4} \ of \ 42\£= \\\\ =\frac{1}{4}*42\£= \\\\ =\frac{21\£}{2}= \\\\ =\boxed{10.5\£}$