steve runs a car wash and detail shop. he determines that 50% of customers get their car washed and vacuumed, while 72% get their car washed. what is the probability that a customer will get their car vacuumed given that they are getting it washed? (in decimal form rounded to nearest thousandths)​

Answers

Answer 1

Answer:

The probability is 0.694

Step-by-step explanation:

Let the probability of getting a car washed be

P(W) = 72% = 0.72

Let the probability of getting a car vacuumed be

P(V) = ?

Probability of getting car washed and vacuumed is P(W n V) = 50% = 0.5

From Bayes’ theorem

P(V|W) is the probability that a customer gets their car vacuumed given that they are getting it washed

So mathematically;

P(V|W) = P(V n W)/P(W)

= 0.5/0.72 = 0.694


Related Questions

What is the solution to this equation? 7x + 3 = 10x - 5.4 Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.​

Answers

Answer:

Step-by-step explanation:

7x + 3 = 10x - 5.4

Bringing like terms on one side

3 + 5.4 = 10x - 7x

8.4 = 3x

8.4/3 = x

2.8 = x

Carlos has a quarter, a nickel, and a penny in his right pocket. In his left pocket, he has
2 blue marbles and a red marble. Which list represents the outcomes if he selects a
coin from his right pocket and a marble from his left pocket?

Answers

Answer

D

Step-by-step explanation:

using the elimination method to solve the system of equations.

3x+6y =36
3x-6y=0


a. 3,6
b. 6,-3
c. 6,3
d. 3,-6

Answers

Answer:

c. (6, 3)

Step-by-step explanation:

subtract

3x + 6y = 36

3x - 6y =  0

12y = 36, y = 3

3x + 6(3) = 36

3x + 18 = 36

3x = 18, x = 6

x = 6, y = 3

Answer:

the answer is b good luck

Is half the sum of two and a number multiplied by itself three times linear? (and how would I write it as a mathematical expression)

Answers

I’m not sure if it’s linear but u write it as 2 divided by 2 to the power of three

factorize the equation
2b2 - 33b + 16 = 0​

Answers

Answer:

(2b-1) (b-16)

Step-by-step explanation:

(2b^2-32b)(-b+16)

2b(b-16)  -1(b-16)

A recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $75 per hour. Write a linear model that represents the total cost C of recording an album as a function of studio time(in hours). Use the variable t to represent the number of hours the recording studio is used

Answers

Answer:

C=$50+$75×T

Step-by-step explanation:

$50 is the amount charged to record an album + 75 amount charged per hour ×T which is how much hours you are going to record an audio.

seven and 15 hundredths as a decimal ​

Answers

Answer:

7.15

I hope this helps!

Paula needed grounded beef to make lasagna for dinner. The ground beef cost $2.09 per pound at Vidalia Market. Write an equation to help Paula determine the total amount, y, she will pay for a given number of pounds of ground beef, x?
A. x = 2.09y
B. 2.09 = y/x
C. y = 2.09x
D. y = x/2.09​

Answers

Answer:

C

Step-by-step explanation:

2.09x=y

eq C

Hope this helps plz hit the crown :D

Answer:

I think that it is C. y = 2.09x

Step-by-step explanation:

Hope this helped have an amazing day!

What percentage is 26 out of 130?

Answers

Answer: 20%

I hope this helps, and Happy Holidays! :)

Answer:

20 percent

Step-by-step explanation:

26/130=0.2

multiply that by 100 equals 20

Helpp I have 50 sec leftttn asappp

Answers

Answer:

The answer would be B) 17 1/3

Anan is researching hummingbirds, one of the smallest birds. He measures Hummingbird A 2 3/4 tall while hummingbird B measures 2 4/10 tall. How much larger is hummingbird A than humming bird B?

Answers

Answer:

3.5/10 taller

Step-by-step explanation:

3/4 is 0.75 and 4/10 is 0.40

0.75-0.40=0.35

0.35 can also be written as 3.5/10 or 35/100

To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?

A.) Henry’s cousin practices with the choir
B.) Henry is in the choir
C.) Henry’s cousin went to an audition

Answers

Answer:

A) Henry’s cousin practices with the choir

Step-by-step explanation:

becuase it says "Henry's cousin is a member of the choir."

Answer:

Henry’s cousin went to an audition.

Step-by-step explanation:

To solve, Use the law of detachment. In geometry, the law of detachment states that if P leads to Q and P is true, then Q must be true. This is written in a different format, but it is once again a conditional statement.

What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a

Answers

Answer:

[tex]x = \frac{5 + \sqrt{53}}{2}[/tex]  or  [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 5x - 7 = 0[/tex]

Required

Solve for x using:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

First, we need to identify a, b and c

The general form of a quadratic equation is:

[tex]ax^2 + bx + c = 0[/tex]

So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]

[tex]a = 1[/tex]     [tex]b = -5[/tex]      [tex]c = -7[/tex]

Substitute these values of a, b and c in

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]

[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]

[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]

Split the expression to two

[tex]x = \frac{5 + \sqrt{53}}{2}[/tex]  or  [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]

To solve further in decimal form, we have

[tex]x = \frac{5 + 7.28}{2}[/tex]  or  [tex]x = \frac{5 - 7.28}{2}[/tex]

[tex]x = \frac{12.28}{2}[/tex]  or  [tex]x = \frac{-2.28}{2}[/tex]

[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]

Nathan usually drinks 38 ounces of water per day. He read that he should drink 66 ounces of water per day. If he starts drinking 66 ounces, what is the percent increase? Round to the nearest percent.

Answers

Answer:

73.6%

Explanation: 38 is the old value and 66 is the new value. In this case we have a positive change of 73.68... percent because the new value is greater than the old value.

Find an explicit formula for the arithmetic sequence -15, 13, 31, 49

Answers

Answer:

No solution (read below)

Step-by-step explanation:

Formula:

a_n = a_1 + (n-1)d

N is the term #

D is the common difference

First, let's find the common difference.

13 - (-15) = 28

Let's see if that checks out.

31-13 = 18

49 - 31 = 18

18 is not equal to 28

Since there is no common difference you cannot find the equation.

Please tell me if you made a typo and comment on my answer, then I can help you find the answer

What is the slope of the linear function
y=5/2x-4
is it
5/2
-5/2
-4
4

Answers

it should be 5/2 :)))

Answer:

5/2

Step-by-step explanation:

To find slope, just look directly at what is connected to the X. Don’t worry about anything else

The sum of interior angles of a regular polygon is 1080.Find the size of each exterior angle

Answers

Answer:

45

Step-by-step explanation:

Calculation to Find the size of each exterior angle

First step is to calculate the sum of interior angles of a polygon using this formula

Sum of interior angles of a polygon =S=(n-2)*180

Let plug in the formula

Sum of interior angles of a polygon=1080=(n-2)*180

Cross multiply

1080/180=n-2

6=n-2

Add 2 to both sides

6+2=n-2+2

n=8

Now let Find the size of each exterior angle using this formula

Size of each exterior angle=360/n

Where,

n represent numbers of sides of the polygon

Let plug in the formula

Size of each exterior angle=360/8

Size of each exterior angle=45

Therefore the size of each exterior angle will be 45

Answer:

45

Step-by-step explanation:

3x– 2y = -3
y = 7 - 4x
Resolver por sustitución

Answers

Answer:

y= 3/2x+3/2 btw add these and that is your answer then y=-4

Step-by-step explanation:

A square has a side length of 2.3cm if the square is dilated by a scale factor of 3 what is the length of the new side

Answers

Answer:

[tex]New\ Side = 6.9cm[/tex]

Step-by-step explanation:

Given

[tex]Length = 2.3cm[/tex]

[tex]Scale\ Factor = 3[/tex]

Required

Determine the length of the new side

This is calculated as follows:

[tex]New\ Side = Length * Scale\ Factor[/tex]

Substitute values for Length and Scale Factor

[tex]New\ Side = 2.3cm * 3[/tex]

[tex]New\ Side = 6.9cm[/tex]

Hence, the length of the new side is 6.9cm

Given the arrangement,

* what is the floor’s length? 4x90= ___ cm

* what is the floor’s breadth ___ x 90 = ____ cm

Answers

Answer:

the flooor length 360 and the floor breadth 4x90=360

Step-by-step explanation:

please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

the answer is 15

since the triangle is a 90 degree triangle by the square

Answer:

no problem the answer is 15

One angle is five degrees less than three times the degree measure of another angle. Together, the angles measures have a sum of 143°. What is the measure of each angle?

Answers

Answer:

a

Step-by-step explanation:

write an equivalent expression using exponents “abaab”

Answers

Answer: a to the 3rd power and b to the 2nd power.

Step-by-step explanation:

You could do a*a*a and b*b.

Either way it's a3b2

Answer:

[tex]abaab = a^3b^2[/tex]

.

Step-by-step explanation:

[tex]a^n \times a^m = a^{n + m}[/tex]

There are 4,389 dogwood trees in the state park. The park workers are going to plant 342 more trees. How many trees will there be when they are done?

Answers

Answer:

4731

Step-by-step explanation:

4,389+342=4,731

Which us a solution to the followung linear equality?
A. (0, 0)
B. (2, -2)
C. (0, 2)
D. (-3, 4)​

Answers

B probably sorry if I’m wrong

Please help I’ll give you brainliest uwu

Tom and Ana are both
botanists studying
flower pollination. In Tom's garden, the
ratio of roses to tulips is 3 : 1. In Ana's
garden, the ratio of roses to tulips is 5 : 2.
0 Part A: Tom's garden and Ana's garden
each have 30 tulips. H&w many more
roses are in Tom's garden than in Ana's
garden? Explain your reasoning.
Part B: Tom and Ana combined their
flowers into a single garden. What is the
ratio of roses to tulips in the combined
garden?

Answers

Answer:

A: tom has 15 more roses than ana does.

B: 11:4

Step-by-step explanation:

A: there is a 3:1 and 5:2 ratio of roses to tulips. that means that in tom's, there are 3 roses for every tulip and 5 roses for every 2 tulips in ana's.

we know that they each have 30 tulips so now for Tom.

3:1 so to find roses, we need to multiply the value of tulips to 3.

3×30=90 so we know he has a total of 90 roses.

for ana: she also has 30 tulips. BUT now her ratio is 5:2. so for every 2 tulips she has 5 roses. we need to divide the value of tulips by 2 so 30/2=15 and multiply it by 5, 15*5=75

THAT IS NOT THE ANSWER!! to find the rest of the answer, we have to subtract tom's amount by ana's amount: 90-75=15

B: to find this answer, we have to add all of the roses together and all of the tulips together. roses: 90+75=165. tulips: 30+30=60.

the ratio we get is 165:60. and now we need to simplify it.

Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+8y=-16

Answers

Step-by-step explanation:

join my zoom meeting

id-9384026088

password -1234

Simon leaves home at 10:30am. He has return home before 6:15pm. He has to travel to work, which takes 45 minutes; he is working a four hour shift. He wants to meet some friends after work. His journey to his friends is 10 minutes and his return journey home is 42 minutes. What is the maximum amount of time he can spend with his friends?

Answers

Answer:

2 hours and 18 minutes

Step-by-step explanation:

clout chaser don’t use beauty for hype

Answers

Beauty is hard to accept when you are seeing it in yourself. This is a valid question to ask, however on this sight not exactly. They obviously believe they are not ugly and other people are saying they are. Models use their beauty for hype so it's not a bad thing. In this case all you are doing is giving this person more attention. Without you this wouldn't have been any of my concern. Instead of posting about someone else keep it to yourself because what you have to say about them is irrelevant. This is a homework site so to slow down the pace of things that aren't don't post stuff like this because you are just adding onto it. Thanks for the points have a great day god bless.

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope: 1/2 , y-intercept=3

Answers

Y = mx + b
Plug in
Solution: y = 1/2x + 3
Other Questions
please urgent please beg Why must the rockets use great force to get into outer space? which of the following statements is FALSE? a. alleles are made when one original DNA strand experiences mutations that result in phenotypes that offer advantages b. the DNA of two alleles must be almost identical. since the trait is the same. But the effect of the allele may be very different! c. in humans, for every trait we can only have two alleles. but that trait can be controlled by many alleles. there are no limits on how many alleles can control a trait. d. being diploid means that humans cannot mask the effects of recessive alleles. humans always show both alleles in their phenotypes and genotypes e. if humans were diploid we would only have one allele per traitHelpppp pleaseee The U.S. population can directly participate in government in all of these ways except? Plz help "He is the rock of the family!"O similemetaphorhyperboleO personification What are the reactants in cellular respiration? For which object would a geologist use carbon-14 dating to determine age? Dont know need the anwser !!DUE MONDAY!! Scrooge refuses to give his servants money at Christmas time. What does this reveal about his priorities? A. He really does care about them. He is planning a surprise vacation for them.B. Deep down he cares about them, but he is saving his money for retirement.C. He cares little about treating them fairly or trying to win their affection. He cares only about hoarding his own money.D. He wants them to work extra time if they want extra money.PLEASE HELP -11/12 - (-5/12) (I tried to answer it, but when I tried to divide I just got another improper fraction, please help) Which table represents a linear function? Why do you think Russia would want to keep control of Latvia, Lithuania, and Estonia? What was the Taiping Rebellion? All of the following statements about the North Central Plains are true except: a. Houston is located within the North Central Plains. b. The North Central Plains are located in the north part of Texas. c. The North Central Plains are home to cattle ranches and farms. d. Wheat, corn, cotton, and peanuts are grown in the North Central Plains. Please select the best answer from the choices provided A B C D Find the value of x. Tonya works 60 hours in 3 weeks. Select ALL the true statements OR YOU WILL FAIL THE GRADE. A. Tonya works 100 hours in 4 weeks.B. Tonya works 140 hours in 7 weeks.C. Tonya works 20 hours a week.D. Tonya works 5 hours a day, 5 days a week.E. At this rate, Tonya will work 240 hours in 16 weeks PLS HEP WILL GIVE BRAINLIEST TO FIRST ANSWER SCIENCEE!! Try to guess the song.....A girl who is warm and humanly during the dayA classy girl who know how to enjoy the freedom of a cup of coffeeA girl whose heart gets hotter when night comesA girl with that kind of twistIm a guyA guy who is as warm as you during the dayA guy who one-shots his coffee before it even cools downA guy whose heart bursts when night comesThat kind of guyBeautiful, loveableYes you, hey, yes you, heyBeautiful, loveableYes you, hey, yes you, heyNow lets go until the end...Bet you can't do it... pls help i need help :D que es un dialecto? me ayudan por favor jaja