Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work part time and 80 employees who work 5 days each week. What is the probability that a randomly selected employee works both part time and 5 days each week?

Answers

Answer 1

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

Answer 2

Answer:

The probability that a randomly selected employee works both part time and 5 days each week is 0.02

Step-by-step explanation:

What is probability?

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

The total employees =100

Let A= Employees who work part time = 14

and B = Employees who work 5 days each week = 80

Then, A∪B= 92

We have to find, P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)

0.92=0.14+0.8-P(A∩B)

0.92=0.94-P(A∩B)

P(A∩B)=0.02

Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.

To know more about probability here

https://brainly.com/question/23044118

# SPJ2


Related Questions

Is my work correct here I'm supposed to find the first four terms using the recursion formula?

Answers

Answer:

yes your formula is correct

Step-by-step explanation:

The area of a rectangular patio is 3x2 + 17x + 20 ft
Which of the following could be dimensions of the patio?
O A. X+ 5 ft by 3x + 4 ft
B. 3x + 5 ft by x + 4 ft
O
C. X + 5 ft by x + 4 ft
O D. 3x + 5 ft by 3x + 4 ft

Answers

Answer:

a

Step-by-step explanation:

THIS IS VERY IMPORTANT I WILL GIVE BRAINLIEST TO THE PERSON WHO DOES ALL 5 QUESTIONS FOR ME.

Answers

Answer:

Step-by-step explanation:

406525%

Answer:

Q1; 40

Q2; 65

Q3; B (25)

Q4; A (?)

Q5;  63

Step-by-step explanation:

I believe

how do you translate a figure in a coordinate plane?

Answers

Answer:

Answer down below

Step-by-step explanation:

When you perform translations, you slide a figure left or right, up or down. This means that on the coordinate plane, the coordinates for the vertices of the figure will change. To graph a translation, perform the same change for each point. You can identify a reflection by the changes in its coordinates.

HELP DUE IN 10 MINS!

x=??

Answers

Answer:

x = 3°

Step-by-step explanation:

S and T are supplementary angles

m∠S + m∠T = 180°105° + 24x + 3° = 180°24x = 180° - 108°24x = 72°x = 72°/24x = 3°

What is the solution to
this system of linear
equations?

Answers

I think it’s (3,1) I’m not sure it’s right I’m just guessing :)

Help me pleaseeeeeeee

Answers

Answer:

10

Step-by-step explanation:

If your roots are -3 and -1, your factors will be (x+3)(x+1), yes? But if your roots are positive, like 3 and 1, would it still be (x+3)(x+1), or would you then make it negative?

Answers

Determine the number of possible positive and negative real roots of the equation:

x - 4x + 5x² + 9x² + 2x 8

a 2 or 0 negative roots; 3 or 1 positive roots

b. 5, 3, or 1 negative roots;

4, 2 or 0 positive roots

c.

d.

2 or 1 neative roots; 3 or 2 positive roots

3 or 1 negative roots; 2 or 0 positive roots

A pyramid at a museum has a height of 21 meters and a square base with side lengths of 30 meters. 21 m 30 m What is the approximate volume of the pyramid?​

Answers

Answer: 6,300 m^3

Step-by-step explanation:

Put numbers into calculator

2.5:3.5 simplified ratio

Answers

Answer:

5:7

Step-by-step explanation:

write an exponential expression showing organism B’d increase in population over the same 8 days

Answers

Answer:

the answer is 5^2

Step-by-step explanation:

so its really just bots on here dayum​

Answers

Answer:

Yes only bots

Step-by-step explanation:

Answer:

ikr its so annoying

Step-by-step explanation:

Find the value or X. Round your answer to the nearest tenth.

Answers

Answer:

x = 9.3

Step-by-step explanation:

tan 25° = x/20

0.4663 = x/20

x = 9.3

factor completely x^2+6x-27?

Answers

Answer:

(x+9)(x-3)

Step-by-step explanation:

Find the number that multiplies to make -27 and adds to make 6. In this case it is 9 and -3. Use these numbers to factorise.

Answer:

(x-3) (+9)

Step-by-step explanation:

To know what numbers to use, factor out the constant (-27).

You would get the numbers : 1,3,9,27.

Then figure out which numbers would make the 6x true. In this case, we would need the 3 and 9. They also need to add up to 6x, so the 3 needs to be negative.

-3 & 9

Then form the factors:

(x-3) (x+9)

--------------------------

You can also check this to make sure.

Have a nice day!

Consider the sequence 20, 14, 8, 2, -4, ....
(a) Write a recursive rule to represent the sequence.
(b) Write an explicit rule to represent the sequence.
(c) Find the 30th term in the sequence.
The BEST answer gets brainliest!! Hurry now!

Answers

[tex](a)\quad a_{n+1}=a_n-6\\\\(b)\quad a_1=20,\ d=2-8=-6\implies a_n=20+(-6)(n-1)\\\\{}\qquad a_n=-6n+26\\\\(c)\quad a_{30}=-6\cdot30+26 = -154[/tex]

Every seventh-grade student at Martin Middle School takes one world language class.
One-tenth of the seventh-grade students take French. Eighteen seventh-grade students take French.

Which equation represents s, the total number of seventh-grade students at the middle school?
18 = 0.1 s
18 = StartFraction 10 over s EndFraction
StartFraction s over 0.1 EndFraction = 18
10 s = 18

Answers

Option (A) 18 = 0.1s

Step-by-step explanation:

Every seventh-grade student at Martin Middle School takes one world language class.

Now we will form the equation as per statement of the question.

Let total students of seventh-grade = s

" one tenth of seventh grade students take  French."

" Students who took French were 18."

So  of s = 18

(0.1)s = 18

therefore, Option (A) 18 = 0.1s is the answer.

Answer

a

Step-by-step explanation:

Write two equivalent area to represent the perimeter of this rectangle. 5 X-2​

Answers

Answer:

area = x-2 * 5

perimeter = 2(x-2) + 10

[tex]5^{-2}[/tex] × [tex]\sqrt[3]{8}[/tex]

Give your answer in decimal

Answers

Answer:

0.08

Step-by-step explanation:

∛8 = 2 as 2*2*2 = 8

[tex]5^{-2}[/tex] = [tex]\frac{1}{5^{2} }[/tex] = [tex]\frac{1}{25}[/tex]

[tex]\frac{1}{25}[/tex] * 2 = [tex]\frac{2}{25}[/tex] = 0.08

ASAP someone please simplify these two exponents

Answers

Answer:

3) [tex]qm^{-17}[/tex]

4) [tex]np^{-3}[/tex]

These should be your answer! Make sure to double check!

Step-by-step explanation:

Just simplify.

Part I
compare the difference of the means of the two data sets found in part H as multiple m of their variability ​

Answers

Answer:

Step-by-step explanation:

I know that the two means are are 11.28 and 12.

I could be wrong but I did the math 5 times.

Answer:

the other guy is correct

Step-by-step explanation:

commen denominaor for 1/4 2/3

Answers

Answer:

The least common denominator is 12.

Step-by-step explanation:

Here's how I got my answer.

First, I listed out the multiples of 4, which is the denominator of 1/4.

4: 4, 8, 12, 16

Next, I listed out the multiples of 3, which is the denominator of 2/3.

3: 3, 6, 9, 12

The smallest number they have in common is 12.

Therefore, the least common demoninator (LCM) is 12.

You move up 4 units and down 7 units. You end at (-5, -4). Where did you start?


Please Help Me!!!


I'm CONFUSED!!


Even my math teacher doesn't understand!!

Answers

Answer:

-5, -1 is the start

Step-by-step explanation:

Answer:

(-5,-7)

Step-by-step explanation:

moving up 4 units would leave you at (-5,0) then, after moving back down 7, you would get (-5,-7)

plsdo thisgggggggggggggggggggggggg

Answers

Answer:

4.32

Step-by-step explanation:

gansnxiuzgenemxjxhsbe dnsjzuxghsbeb3ne

Ishmael's stock went up $17 on Thursday and then down $13 on Friday. What was the total change in the value of the stock?.

Answers

Answer:is that subtraction?

Step-by-step explanation:

Could someone check this answer for me?

Answers

Yes it is correct!
STEP BY STEP:

Answer:

Yes you are correct! :)

Josh's soccer team had a competition to see which player should be the goalie. Each player tried to block 15 kicks from entering the goal, and the coach recorded the number of successfully blocked kicks. Josh made a dot plot to display the information. What is the interquartile range for the data?​

Answers

Answer:







Explanation








I am having problems sorry if you can’t see it let me know if you can’t see it

Answer:

sup

Step-by-step explanation:

hey

help me please.. im doing 8th grade math with pythagorean theorem i really need help please 10 points!!

Answers

Answer:78.1 is the answer and B or D will be your answer hope this helped

Step-by-step explanation:

Find the area of the shape. 2

Answers

Answer:

4

Step-by-step explanation:

It costs $520 to plant 4 acres of corn. How much would it cost to plant \large \frac{3}{5} acre of corn?

Answers

Answer:

$78 to plant 3/5 an acre of corn

Step-by-step explanation:

you can set up a fraction. 

520/4 = x/6

Cross multiply

312 = 4x

Divide both sides by 4 equal to

x=78

$78 to plant 3/5 an acre of corn

Dog food bad contains 18 cups to fill it up his friend dog eats 1 1/2 each day he says he'll be able to feed his dog for 27 days that true?

Answers

Answer:

It's not true because 18 cups will only last 12 days, not 27 days.

Step-by-step explanation:

1 1/2 = 3/2

3/2(27) = 40.5 cups

18 = 3/2c

c = 12

Other Questions
the Renaissance emphasized ______, questoning and experimentation Identify the part of the speech for the underlined word. I couldn't believe that I got an A on the test. BELIEVE is underlined. What Lags harder than my Nokia urricanes are natural events that can impact the different spheres. Which of these correctly matches a hurricane effect with the sphere it impacts? All BUT ONE apply.Help,,, round to nearest ten 8,990.97 What do you notice first about the political cartoon? Last year, the amount of 6th grade students currently enrolled in orchestra is twice the amount of 8th grade students. There are 10 more 7th grade students in orchestra than 8th grade students Write expressions for the number of students in orchestra at each grade level if the number of students is represented by x students solve 15 + ( - 15) = the current popularity of teams can be attributed to the fact that ________. What best describes early Native American culture groups? 1 pint=how many cups List 5 physical properties of matter. How many atoms of each type of element in C6H12O6? The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the number of commercial mortgages approved per week. The results from these two years (104 weeks) are shown to the right. solve the fallowing system of equations for xx+2y=4x-2y=12 solve Kx + 12 = 3kx for x 1 basic algebreh im sloe hlp me Write a paragraph (10 sentences or more) about some disadvantages of city life. Mark the letter A, B, C or D on your answer sheet to indicate the word that differs from theother three in the position of primary stress in each of the following questions. 1. A. enjoy B. collect C. escape D. paper2. A. answer B. repeat C. repair D. attract3. A. village B. summer C. contact D. winter4. A. raincoat B. machine C. airport D. bookshop5. A. homesick B. explain C. allow D. expect what kind of costs are associated with the nomination process for presidents? Choose the correct combinations of object pronouns to replace the underlined words.1. J'ai achet ces fleurs Sylvie.te lesles luila lui2. Le professeur donne les examens aux lvesle leurles luiles leur3. Nous n'avons pas envoy l'invitation mes grands-parentsla leurles leurvous l'4. Tu m'as apport cette tarte?me lela luime l'5. Mes parents vont offrir l'horloge ma soeurle luila luite la