Which of these tables represents a linear function?

(problem 6.13 page 97) Consider a population in which 80% of males and 60% of females are employed. In this population, 55% of i

svp [43]

Answer:

There is a 50.77% probability that no more than one of those chosen is not employed.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will be employed, or they will not. 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.

We have these following percentages:

55% of the individuals are female.

So 45% of the individuals are male.

80% of males are employed. So 20% of males are unemployed.

60% of females are employed. So 40% of females are unemployed.

If I pick five persons at random from this population, what is the probability that no more than one of those chosen is not employed?

Using the binomial distribution, p is the probability that a person is unemployed. 40% of the females and 20% of the males are unemployed. The population is 55% females and 45% males. So

$p = 0.4*0.55 + 0.2*0.45 = 0.31$

There are five persons, so $n = 5$

What is the probability that no more than one of those chosen is not employed?

$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = C_{5,0}.(0.31)^{0}.(0.69)^{5} = 0.1564$

$P(X = 1) = C_{5,1}.(0.31)^{1}.(0.69)^{4} = 0.3513$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1564 + 0.3513 = 0.5077$

There is a 50.77% probability that no more than one of those chosen is not employed.

7 0

3 years ago

Solve for x: <br> (125^2x)(5x) = 25^3

olga nikolaevna [1]

(125^2x)(5x) = 25^3
(15625x)(5x)=15625
<span>78125x=15625
</span>x=5

Hope I helped ;D

6 0

3 years ago

Using the law of sines, find the solutions for the missing inputs.

SashulF [63]

$\frac{a}{ \sin(a) } = \frac{b}{ \sin(b) }$
$\frac{12}{ \sin(38) } = \frac{b}{ \sin(85) }$
$\frac{12}{ \sin(38) } = \frac{a}{ \sin(57) }$
$180 - (85 + 38) = 57$
$\frac{12}{ \sin(38) } = \frac{b}{ \sin(85) }$
$\sin(85) \times \frac{12}{ \sin(38) } = b$
$\sin(57) \times \frac{12}{ \sin(38) } = a$
sorry for the order of steps

5 0

3 years ago

A triangle has side lengths 35 cm, 46 cm, and 68 cm.

nika2105 [10]

Answer:

A

Step-by-step explanation:

Hope this Helps!

3 0

3 years ago

Which of the following represents the characteristics of the graph of x < 4? Please help.

sleet_krkn [62]

Open circle on 4 and shaded to the left is the correct characteristics of the graph of $x < 4$

Option C is correct.

Step-by-step explanation:

We need to identify the characteristics of the graph of $x < 4$

The graph will contain all values that are less than 4.

4 is not included in the graph because we have less than sign and not less than equal to. So, an open circle will appear on 4.

All values less than 4 are on the left of 4, so shaded to the left of the graph.

The graph of $x < 4$ is attached in the figure below.

So, open circle on 4 and shaded to the left is the correct characteristics of the graph of $x < 4$

Option C is correct.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

4 0

3 years ago