It is known that 60% of the students at a large university have a job and 40% do not have a job. If three of these students are randomly selected, what is the probability at least one does not have a job? (Hint: the compliment of this event is all three have jobs.)

Answers

Answer 1

Answer:

78.4% probability at least one does not have a job

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. 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.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

60% of the students at a large university have a job

This means that [tex]p = 0.6[/tex]

Three of these students are randomly selected

This means that [tex]n = 3[/tex]

What is the probability at least one does not have a job?

Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So

[tex]P(X < 3) + P(X = 3) = 1[/tex]

We want P(X < 3). Then

[tex]P(X < 3) = 1 - P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]

[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]

78.4% probability at least one does not have a job


Related Questions

Which of the following statements uses the commutative property of addition
2+(3+4)=(2+3)+4
2+(3+4)=(2+3)+(2+4)
2+(3+4)=2+(4+3)

Answers

Answer:

the first one

Step-by-step explanation:

The second equation doesn't make sense because that's not a true statement. The third equation uses the associative property so the answer must be the first one.

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!!

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Answer:

Y=x^2+8

Step-by-step explanation:

what is slope intercept form?

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Answer: The answer is -90

A square has a side length of 3 inches. What is the length of the diagonal distance across the square ?

Answers

Answer:

4.243

Step-by-step explanation:

To calculate the diagonal of a square, multiply the length of the side by the square root of 2:

d = a√2

d = 3√2=4.24264068

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)

A) 2x-3
B)3x-3
C)4x+1
D)2x-1

Answers

Answer:

C.

Step-by-step explanation:

Wyatt wants to study the relationship between the number of siblings that a student has and the student's grade-point
average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two
variables. Which scatterplot proves that Wyatt's statement is not always true?
Number of Siblings vs. Grade-Point Average

Answers

Answer:

the answer is D

Step-by-step explanation:

Because of how the students grade ar goung not down but up were the y or x

The scatterplot that shows that Wyatt is not always right to say that a straight line shows a relationship between two variables is the graph attached.

When does a straight line show a relationship between variables?

The only time a straight line can be said to be proof that two variables are related is when this straight line is diagonal as it shows correlational change.

If the straight line is vertical or horizontal as shown attached, it means that there is no relationship because one variable is not changing when the other one does.

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URGENT!!LAST 3 QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!
1. If a triangle has two angles that measure 57 and 94 degrees, what is the measure of the third angle?
A) 29°
B) 37°
C) 57°
D) 33°
FIND X ( FIRST IMAGE) A) 21.125 B) 7 C) 22.5 What is the measure of angle EGH? SECOND IMAGE A) 26° B) 102° C) 38°

Answers

Answer:

1. A

2. B

3. B

Step-by-step explanation:

1. 180+57-94= 29

2. 4x + 7 + 97 + 180 - 17x - 13 = 180

-13x = -91

x = 7

3. 180 - 64-38 = 78

180-78 =. 102

Answer:

A) 29°

B) 7°

B) 102°

Step-by-step explanation:

1. ------------------------

sum of angles= 180°missing angle= 180°-57°-94°= 29°

2.  ------------------------

4x+7°+97°=17x+13°13x=91°x=7°B) 7°

3.  ------------------------

EGH=GEH+EFGEGH=64°+38°=102°B) 102°

Please help me and explain your answer
Thank you!

Answers

Answer:

The bottom right

Step-by-step explanation:

switch the x and y and solve for y again

URGENT!! Please help if you can!!
Does this represent a nonlinear function, liner function, or no function at all?

Answers

Answer:

Not a function.

Step-by-step explanation:

It is not a function since it does not pass the vertical line test.

Answer:

not a function

Step-by-step explanation:

you can test it out by sliding your pencil thru the graph and making sure

the function doesn't cross thru the pencil twice

simplify the expression (3+8i) - (4+2i) pls show work!

Answers

Subtract like terms:

3 -4 = -1

8i - 2i = 6i

The answer is -1+6i

Is 1/2x-4 a function?

Answers

Answer:

Yes it is

Step-by-step explanation:

Each x value is represented by exactly one y value.

help please, I don't know it please​

Answers

Answer:

second payment from the left

Step-by-step explanation:

A car loan should decrease as time passes when you make regular payments

This should be the second payment from the left

Marlin made the wooden block below in his woodworking class. What is the surface area of his block?​

Answers

Answer:

The answer is D

Step-by-step explanation:

I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared

All trapezoids are parallelograms.

A. True
B. False

Answers

Answer:

True

parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .

No, All trapezoids are not parallelograms.

We know that,

Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.

Having one set of opposing sides that are parallel defines a trapezoid as a quadrilateral. It can have congruent sides (isosceles), right angles (a right trapezoid), although none of those properties is necessary.

Hence, By definition of trapezoids,

All trapezoids are not parallelograms because Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.

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If paint cost $24 and their is a sale for the next month, and the discount is 25% off paint, how much will the paint be after if you buy it during the sale?

Answers

The answer is $18 cause 25% of 24 is $6, and $24-$6 equals $18

20t- (8t+ 50s + 200)

Answers

Answer:

[tex]20t- (8t+ 50s + 200)\\20t- 8t- 50s - 200\\12t-50s-200[/tex]

What figure can be made using the net shown?
Hube
a hexagonal prism
an octagonal prism
a hexagonal pyramid
an octagonal pyramid

Answers

Answer:

Correct option: First one -> Hexagonal prism

Step-by-step explanation:

In the figure we have two hexagons and six rectangles. If we fold each part correctly, we can use the two hexagons as horizontal bases of a prism, and the six rectangles would be the sides of the prism (each rectangle connected to one side of lower hexagon and one side of upper hexagon).

So the figure created would be a hexagonal prism.

Correct option: First one.

Answer:

First one

Step-by-step explanation:

A movie producer held a preview screening of her new movie to find out how the film would be received by viewers of different age groups. The table shows the number of viewers of different age groups who rated the movie as excellent, average, or poor. Note: A rating of "excellent" means the audience liked the movie, while a rating of "poor" means the audience disliked the movie.

Age Excellent Average Poor Marginal Total
16-30 78 33 43 154
30-44 33 41 37 111
45+ 38 23 20 81
MT: 149 97 100 346

Out of the total number of respondents, the percentage of respondents in the 30-44 age group who rated the film as excellent rounded to the nearest hundredth of

Answers

Answer:

120%

Step-by-step explanation:

Because the answer is 1 1/5 that converted to a percentage(%) is 120%.  

9.53% people between the age 30 to 44 rated the movie as excellent.

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.

According to the given question.

We have a data of people of different ages who rated the movie as excellent, Average, and poor.

Now,

Total number of people between the age 30 to 44 who rated the movie excellent is 33

And, the total number number of people who watched the movie is 346.

Therefore, the percentage of people who are in between 30 to 44 and  rated the movie as excellent is given by

[tex]percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}[/tex]

[tex]\implies percentage = \frac{33}{346} =9.53\%[/tex]

Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.

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What is 8*4 equal to

Answers

Answer:

The answer would be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

8 times 4 = 32

Dymin had a lot of boxes ready for moving. She went out and
bought seven more boxes. A week later her little brother
destroyed half of them. There are now only 22 boxes left.
How many did she start with?​

Answers

Answer:

37 boxes

Step-by-step explanation:

At first, Dymin had some boxes. Let x be the starting number of boxes.

Then, she bought 7 more boxes. Let y be the new number of boxes that she had.

y = x + 7

Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is

Number of boxes = y/2

The number of the boxes left is 22 boxes. Then, we can use the equation above.

Number of boxes = 22

y/2 = 22

Substitute y = x + 7 into the equation.

(x + 7)/2 = 22

x + 7 = 44

x = 44 - 7

x = 37

Thus, Dymin has 37 boxes at first.

Give me the answers to thissss plssss rnnnn asapppp!!!!

Answers

[tex]\\ 1. (3x ^{2} + 2xy + 7) - (6x ^{2} - 4xy + 3) \\ = 3x ^{2} + 2xy + 7 - 6x ^{2} + 4xy - 3 \\ = 3x ^{2} - {6x}^{2} + 2xy + 4xy + 7 - 3 \\ = { - 3x}^{2} + 6xy + 4 \\ 2. \: {9x}^{2} - 2x + 3 - ( {4x}^{2} + 7x - 5) \\ = 9x ^{2} - 2x + 3 - 4x ^{2} - 7x + 5 \\ = {9x}^{2} - {4x}^{2} - 2x - 7x + 3 + 5 \\ = {5x}^{2} - 9x + 8 \\ 3. \: {x}^{2} - 5x + 6 \\ = {x}^{2} - (3 + 2)x + 6 \\ = {x}^{2} - 3x - 2x + 6 \\ = x(x - 3) - 2(x - 3) \\ = (x - 3)(x - 2) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer with step by step explanation

[tex](1)(3 {x}^{2} + 2xy + 7) - (6 {x}^{2} - 4xy + 3) \\ 3 {x}^{2} + 2xy + 7 - 6 {x}^{2} + 4xy - 3 \\ = - 3 {x}^{2} + 6xy + 4[/tex]

[tex](2)9 {x}^{2} - 2x + 3 - (4 {x}^{2} + 7x - 5) \\ 9 {x}^{2} - 2x + 3 - 4 {x}^{2} - 7x + 5 \\ = 5 {x}^{2} - 9x + 8[/tex]

[tex](3) {x}^{2} - 5x + 6 \\ {x}^{2} - 3x - 2x + 6 \\ x(x - 3) - 2(x - 3) \\ (x - 2)(x - 3)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

does y = 2x + 3 and y = 2x – 11. intercept

Answers

Answer:

yesssssssssssssssssssssssssssssss

Can anyone help me. Please

Answers

Answer:

how can I help?

Step-by-step explanation:

with what?

Solve 3 (3 - 3x) +4= -5.

Answers

Answer:

x=2

Step-by-step explanation:

3 (3 - 3x) +4= -5

Subtract 4 from each side

3 (3 - 3x) +4-4= -5-4

3 (3 - 3x)= -9

Divide by 3

3/3 (3 - 3x) = -9/3

3-3x = -3

Subtract 3 from each side

3-3x-3 = -3-3

-3x = -6

Divide by -3

-3x/-3 = -6/-3

x = 2

(14)+(-11) plz help idk what it is

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(14)+(-11)=3

I need help on the fraction part

Answers

Answer:

3 1/7 units

Step-by-step explanation:

(im assuming that 22/7 is what it's being converted here lol) basically what you would do is turn this in to a mixed fraction. You look at how many sevens can go into 22. In this case, three "sevens" would go into 22 (7x3=21). Since we have one left over, it would go over the 7! So that final answer would be 3 1/7!

Find Sn for the given arithmetic series.
Q1 = -40, d =-7, n=22

Answers

Answer:

[tex]S_n =[/tex] -2497

Step-by-step explanation:

We are given an arithmetic series with the following terms:

First term, [tex]Q_1[/tex] = -40

Common difference, d = -7

Number of terms, n = 22

To find out: Sum of n terms, where n is 22

We know that Sum of n terms in an arithmetic series is given as:

[tex]S_n =\dfrac{n}{2} (2Q_1+(n-1)d)[/tex]

Putting the values in the formula:

[tex]S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497[/tex]

So, the sum of 22 terms is -2497.

Yun wants to build a one-sample z interval with 82%, percent confidence to estimate what proportion of users will click an advertisement that appears on his website. He takes a random sample of 200 users and finds that 34 of them clicked the advertisement.

Answers

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 34

p = 34/200 = 0.17

q = 1 - 0.17 = 0.83

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.82 = 0.18

α/2 = 0.18/2 = 0.09

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.09 = 0.91

The z score corresponding to the area on the z table is 1.35. Thus, the z score for a confidence level of 82% is 1.35

Therefore, the 82% confidence interval is

0.17 ± 1.35√(0.17)(0.83)/200

Confidence interval is 0.17 ± 0.036

Answer:

z  ∗  = 1.341

Step-by-step explanation:

Its right on khan academy

Joe needs to replace the carpet in his living room and hallway with laminate flooring. A floor plan is shown below. Can you help him to find the total area of floor that needs to be covered?

Answers

*diagram of floor plan is attached below

Answer:

30m²

Step-by-step Explanation:

From the floor plan shown in the attached diagram, the hall way and the living room both takes the shape of a rectangle.

To find the total area of floor to be covered, we can use the formula of the area of a rectangle to find the area of the hall way + the area of the living room.

Area of rectangle = L*B

For the hall way, L = 3.2m, B = 1.5m

Area of hall way = 3.2*1.5 = 4.8m²

For the living room, L = 6m, B = 4.2m

Area of Living room = 6*4.2 = 25.2m²

Therefore, area of floor to be covered = 4.8m² + 25.2m² = 30m²

Answer:

30m²

Step-by-step explanation:

Which image shows -1 7/8 on a number line? A. B. C. D.

Answers

Answer:

The number line is attached below.

Step-by-step explanation:

The number to be plotted on the number line is:

[tex]x=-1\frac{7}{8}[/tex]

The value of x lies between -2 and 0.

Draw a number line from -2 to 0 with intervals at every one-eight value.

Mark the point at [tex]x=-1\frac{7}{8}[/tex].

The number line is attached below.

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