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4 years ago

How would you do this?

Mathematics

2 answers:

Semenov [28]4 years ago

8 0

Wouldn't it just be 6?

sdas [7]4 years ago

7 0

You can't:)
destroy the paper
(*´・ｖ・)ε/̵͇̿̿/'̿̿ ̿ ̿ ̿ ̿ ̿

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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

4 years ago

Is 11 rational or irrational

PolarNik [594]

11 is irrational cause it is on the number line
most numbers in the number line are irrational numbers

3 0

3 years ago

Read 2 more answers

Given that the measure of ∠x is 73°, and the measure of ∠y is 90°, find the measure of ∠z.

Westkost [7]

Answer:

The measure of z is 17

Step-by-step explanation:

90 plus 73 equals 163

180 minus 163 equals 17

8 0

4 years ago

James took a math quiz in which he earned 1 point for every correct answer and lost 0.5 points for every incorrect answer.James

Nuetrik [128]

Answer:

Step-by-step explanation:

6x0.5=3-12=9

4 0

4 years ago

If x is divided by 5 the remainder is 4. If why is divided by 5 the remainder is 1. What is the remainder when x+y is divided by

Naddik [55]

Answer:

Step-by-step explanation:

We are given the following:

$\frac{x}{5}=q_1+\frac{4}{5}$ (equ. 1)

$\frac{y}{5}=q_2+\frac{1}{5}$ (equ. 2)

We are asked:

$\frac{x+y}{5}=q_3+\frac{r}{5}$ (equ. 3) , what is $r$ ?

The $q_i$ 's represent the quotients you get.

$r$ is the remainder of dividing $x+y$ by 5.

We know that $r$ is a number in {0,1,2,3,4}.

$x=5q_1+4$ (I got this by multiplying both sides of equ 1. by 5.)

$y=5q_2+1$ (I got this by multiplying both sides of equ 2. by 5.)

Let's add these equations together:

$x+y=(5q_1+5q_2)+(4+1)$

Factoring the 5 out for the $q_i$ 's part and simplify 4+1 gives:

$x+y=5(q_1+q_2)+5$

So $5$ can't be the remainder of dividing something by 5 but see that we can factor this right hand expression more as:

$x+y=5(q_1+q_2+1)$

So $q_3=q_1+q_2+1$ while there is no remainder (the remainder is 0).

Let's do an example if you are not convinced at this point that the remainder will be 0.

So choose x=9 since 9/5 gives a remainder of 4.

And choose y=16 since 16/5 gives a remainder of 1.

x+y=9+16=25 and 25/5 gives a remainder of 0.

8 0

3 years ago