Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of all buyers request automatic transmission, 82% of all buyers request built-in GPS, and 77% of all buyers request both automatic transmission and built-in GPS. Hint: It may be useful to draw Venn diagrams for these. What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Answers

Answer 1

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that [tex]P(A) = 0.9[/tex]

82% of all buyers request built-in GPS

This means that [tex]P(B) = 0.82[/tex]

77% of all buyers request both automatic transmission and built-in GPS.

This means that [tex]P(A \cap B) = 0.77[/tex]

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95[/tex]

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS


Related Questions

Round 2,542 to the nearest thousand

Answers

Answer:

The answer is 3,000 because the 5 next to the 2 make it go up

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

5 or bigger round up

4 or smaller round down

Find the rate of change in a table

Answers

Answer:

excuss me where the picture

Step-by-step explanation:

There’s no picture? There’s no table how to u find the rare of change without the table

For the following sample of n 5 10 scores:
a. Assume that the scores are measurements of a discrete variable and find the median.
b. Assume that the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution.
Scores: 2, 3, 4, 4, 5, 5, 5, 6, 6, 7

Answers

Answer:

Step-by-step explanation:

Given that:

scores = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7

Since the scores are already in ascending order; then the median which is the middle number will be:

median = (5th term + 6 term)/2

median = (5+5)/2

median = 10/2

meian = 5

b)

Use the cumulative percentage table

X     frequency    cumulative frequency     cumulative percentage

2         1                     1                                            10%

3         1                     2                                           20%

4        2                     4                                            40%

5        3                     7                                             70%

6        2                     9                                             90%

7        1                     10                                             100%

fraction = the no. required to reach 50%/ no. in that interval

= 1/3

Since we have a total of 4 boxes when we reach the value of 4.5

The median of the continuous variable = 4.5 + (1/3)

The median of the continuous variable = 4.833

The median of the continuous variable ≅ 5

Answer:

Step-by-step explanation:

Given that:

scores = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7

Since the scores are already in ascending order; then the median which is the middle number will be:

median = (5th term + 6 term)/2

median = (5+5)/2

median = 10/2

median = 5

whoever answers, i will give brainliest :)
This is due soon, pls help!

Answers

Answer:

69

98

Step-by-step explanation:

area= lenght*width

area= 5451

length= 79

which means that

5451=79*width

width=69

Preimieter= 2L+2W

302=2L+2(53)

302=2L+106

196=2L

L=98

[tex]7 5/8 - 4 2/8=[/tex]

Answers

Answer is [tex]\frac{33}{8}[/tex]

Kathy bought 2 4/9 pounds of cheese. She used 1 1/3 pounds of the cheese to make lunch for her family. How many pounds of cheese are left?

Answers

Answer:

1 1/9

Step-by-step explanation:

Hope it is correct Have a nicee dayy

A moving company
travels 180 miles in 4
hours on Monday. At
this rate, how long
will it take them to
drive 270 miles?

Answers

Answer:

6 hours

Step-by-step explanation:

180/4 is 45 so we do 270/45 which is 6 hours

pls give brainliest haven't got one yet

Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill equally. Amy wants to leave a 20% tip for her portion. What is the total amount Amy should pay, including tip? Round to the nearest cent.

Answers

Answer:

Step-by-step explanation:
$27.63 / 2 = $13.82
$13.82 * 0.20 = $2.76
$13.82 + $2.76 = $16.58

Hope this helps (:

Two small pitchers and one large pitcher can hold 14 cups of water. One
large pitcher minus one small pitcher constitutes 5 cups of water. How many
cups of water can each pitcher hold?

Answers

Answer:

ummmm im not sure but i think 7

Step-by-step explanation:

An elevator started at the first floor and went up 18 floors. It then came down 11 floors and went back up 10. At what floor was it stopped?

Answers

Answer:

It then came down 11 floors and went back up 16. At what floor ... an elevator started at the first floor and went up 18 floors. It then ... up 16. At what floor was it stopped​. 1 ... hassalmughal10 is waiting for your help. Add your

QUICK HELP!

Add.
204.2 + 68.37

Answers

272.57 how this helps and have a good day x
272.57 is the answer

2. Select each correct answer. More than one answer may be correct.
Which of the following natural systems could be affected by agricultural runoff from a large, heavily tilled farm?

a river ecosystem 5 miles from the farm
a wetland ecosystem 500 meters the farm
a marine ecosystem 200 miles from the farm
a freshwater lake ecosystem 50 miles from the farm

Answers

Answer:

a wetland ecosystem 500 meters the farm

Step-by-step explanation:

This is because it is 500 meters near that farm which quiet close so it may get affected.

Answer: ALL OF THEM

Step-by-step explanation: It was on Study Island

Multiply: (x+3)(x - 4)

What is the middle term in the simplified product?
O х
O -x
O 3x
O -4x​

Answers

So you use the method FOIL
Front
Out
Inside
Last
So it would be
X^2-4x+3x-1
X^2-1x-1
So i think it’s -x

Answer:

-x

Step-by-step explanation:

(x+3)(x-4)

x^2-4x+3x-12

x^2-x-12

-x

Lauren has already knit 24 centimeters of scarf, and can knit 1 centimeter each night. How
many nights will Lauren have to spend knitting in order to knit a total of 44 centimeters of
scarf?

Answers

Answer:

20

Step-by-step explanation:

44-24=20


Plzzzzz help PLZZ asap!!!

Answers

Answer:

equation:- 180-42= x or 180-x= 42

x= 138°

Step-by-step explanation:

180-42= x

180-42= 138°

A student answers 90% of the math questions on a math test correctly. If he answers 27 questions correctly how many questions are on the test?

Answers

I think 30 right? Not sure good luck

So 30 questions on the test

27 ÷ 90 = 30

help with my geometry!!

Answers

Answer

(6,4)

Step-by-step explanation:

I think that is the answer and I am sorry if it is wrong!

Item is $449.00 I Have $27.00 saved how much do I need to save for 8 months to equal the $449.00?

Answers

Answer:

$56.25

Step-by-step explanation:

.

Deandre is driving to Denver. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Deandre has miles to his destination after minutes of driving, and he has miles to his destination after minutes of driving. How many miles will he have to his destination after minutes of driving

Answers

Answer and explanation:

If distance to his destination(in miles) is a function of his minutes of driving(time) then the formula can suffice:

Distance = Speed × Time

if distance is 5 miles to his destination

Speed is 1 mile/hr

Time taken is 4 hrs or 240 minutes

Then Deandre would have 1 mile left to reach his destination after 240 minutes

Consider the NASCAR race, the Indianapolis 500. Its name refers to the total race distance of 500 miles. There are 44 cars are racing (all of them also finish), and they all have an average mileage of 6.78 miles per gallon. If the fuel cost is $1.63 per gallon, what is the total fuel cost, in dollars, for all cars finishing the entire race?

Answers

Answer: $5289.35

Step-by-step explanation:

Since the cars have an average mileage of 6.78 miles per gallon and the race is 500 miles, the number of gallons each car will take will be:

= 500/6.78

= 73.75 gallons

Since they're 44 cars, the total gallons of fuel will be:

= 44 × 73.75

= 3245 gallons

Since the fuel cost is $1.63 per gallon, the total fuel cost, will be:

= $1.63 × 3245

= $5289.35

Stephen buys a melon and divided into six servings he eats 1/3 of the melon or over the weekend how many slices of melon does Stephen eat over the weekend?​

Answers

Answer:

2 slices

Step-by-step explanation:

As given, Stephen buys a melon and divides it into 6 servings. And he eats 1/3 melon over the weekend. Hence, Stephen eats 2 slices over the weekend.

IS THE ANSWER B JUST TRYING TO CHECK

Answers

Answer:

No my dude its c

Step-by-step explanation:

Can someone help me, please???

Answers

number 1 is the answer

Add the difference of 16 and 9 to the quotient of 12 and 3

Answers

Answer: 11

Explanation:

*difference* is the answer you get when subtracting,

so, 16-9

you get 7,

*quotient* is the answer you get when dividing,

so, 12/3

you get 4,

finally, you add 4+7

which is 11

Hope this helps! :D

the royal fruit company produces two types of fruit drinks. the first type is 40%pure fruit juice the second is 85%pure fruit juice. the company is attempting to produce a fruit drink that contains 70% pure fruit juice. how many pints of the two existing types of drinks must be used to make 90pints of a mixture that is 70%pure fruit juice​

Answers


(70% * x) + 95% (90-x) = 75% (90 pints)

0.7x + (0.95)(90-x) = (0.75)(90)

0.7x + 85,5 -0.95 x = 67.5

67= 0.25x

x - 72 pints

y=90-x = 18

so you need 72 pints of the first juice and 18 pints of the second juice mixed to form 90pints

va rog ajutati ma am test plssssssssssss

Answers

Answer:

ok despre ce ai o întrebare?

Step-by-step explanation:

what is 5.343/34.53*253

Answers

39. 67283737337474737

Freee easy PIONT just ps there are 2 ez questions

Answers

Answer: ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:

find the value of x

a. 5
b. 11
c. 7
d. 3

Answers

7x + 13 = 48
7x = 35
x = 5
A

93 = 2x + 18 + x = 3x + 18

Answers

Answer:

x=25

Step-by-step explanation:

To get this answer you need to simplify everything that you can. So basically, first you would combine 2x and x to get 3x+18. Note that you don't need to use the second part of the equation if you don't want to. Same with the third because they are all equal. Noting this, you subtract 18 from both sides of the equation leaving you with 75= 3x. Proceed to divide both sides by three and end with the answer 25=x.

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