A consumer organization estimates that over a​ 1-year period 18​% of cars will need to be repaired​ once, ​7% will need repairs​ twice, and ​3% will require three or more repairs. If you own two​ cars, what is the probability that ​a) neither will need​ repair? ​b) both will need​ repair? ​c) at least one car will need​ repair?

Answers

Answer 1

Answer:

(a) 0.5184

(b) 0.0784

(c) 0.4816

Step-by-step explanation:

According to the given estimation over a 1-year period, 18​% of cars will need to be repaired​ once, ​7% will need repairs​ twice, and ​3% will require three or more repairs.

So, the probability that a car need repair once = 18/100=0.18 ...(i)

The probability that a car needs repair twice = 7/100=0.07 ...(ii)

The probability that a car needs repair thrice or more = 3/100=0.03 ...(iii)

From equations (i), (ii), and (iii), the probability that a car needs repair = (0.18+0.07+0.03) = 0.28 ...(iv)

The probability that a car doesn't needs repair = 1-(0.18+0.07+0.03)= 1-0.28=0.72 ....(v)

Given that I own two cars, denoting the cars by A and B.

(a) The probability that neither will need​ repair=(Probability that car A doesn't need repair) and (Probability that car B doesn't need repair)

=0.72 x 0.72 [ from equation (v)]

=0.5184

(b) The probability that both will need​ repair = (Probability that car A needs repair) and (Probability that car B needs repair)

=0.28 x 0.28 [ from equation (iv)]

=0.0784

(c) The probability that at least one car will need​ repair= 1 - (The probability that neither will need​ repair)

=1-0.5184 [ by using part (a)]

=0.4816


Related Questions

2.4 x 102 and 2.4 x 103 expressed in scientific notation?

Answers

Answer for 2.4 × 102:    2.448 × 10^2Answer for 2.4 × 103:    2.472 × 10^2_________________________________Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

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7.

y=x*5

8.

y=x divided by 16

9.

5/6

10.

10/1

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Answer:

honestly I can not see it

Step-by-step explanation:

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Please explain how you got the answer! :3

Answers

Answer:

Step-by-step explanation:

if it includes the point should verify the equation

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3+3 = 2 ( -6+9) calculate

6 = 6 is true! so YES the equation includes the point

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Answers

Answer:

x = 1

Step-by-step explanation:

Answer: x=1

Step-by-step explanation:

8-5x=4x-1--> since there are no like terms, we isolate the x8=9x-1 --> add 5x on both sides9=9x --> add 1 on both sidesx=1 --> divide by 9 on both sides

What is the domain of the function shown in the graph?

Answers

Answer:

Step-by-step explanation:

domain holds all the x values and for this graph it looks like

0< x < -∞  or just x >0

yet I do not see this answer as an option

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Answers

Answer:

A

Step-by-step explanation:

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Answers

1: D.

2: A.

Random text (I had to make the answer 20 characters or more.

Part 1:

D) 2 2/4

point B is in between the 3 and the half-point of 2. Which is 3/4 of 2.

3/4 + 2 = 2 3/4

Part 2:

C) the 12th day

It will be when Matt has his 2nd quiz and Meg will have her 4th quiz.

6 x 2 = 12

3 x 4 = 12

(it could also be the 6th day [A)] when Matt has his first quiz and Meg has her second quiz)

HELP THIS WAS DUE A LONG TIME AGO PLAS HELP MEH ILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!?!??!?!?!?!?!?

Answers

Answer:

Divisor

Step-by-step explanation:

Divisor
You are dividing by the 5, which means it is the divisor.
Hope this helps!

What is the radius of a circle with a diameter of 100

Answers

Answer:

50

Step-by-step explanation:

Hope this helps :)

Answer:50

Step-by-step explanation:

100 ÷ 2=50

Which subsets does 65/13 belong? Move the appropriate subsets into this box.

Answers

Rational number as fraction
65/13 could also be an integer.

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So what do you think?

Write equations for the horizontal and vertical lines passing through the point (4, -5).
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OO
Х
vertical line:

Answers

Answer:

Horizontal line: y=-5

Vertical line: x = 4

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (4, -5).

To determine the equation for the horizontal line passing through the point (4, -5), we must observe that the horizontal line will always have the same y-value regardless of the x-value.

Therefore, the equation of the horizontal line passing through the point (4, -5) will be: y=-5

To determine the equation for the vertical line passing through the point (4, -5), we must observe that the vertical line will always have the same x-value regardless of the y-value.

Therefore, the equation of the vertical line passing through the point (4, -5) will be: x=4

Hence:

Horizontal line: y=-5

Vertical line: x = 4

y = x - 2
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Answers

Answer:

(5, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x - 2

-2x + 3y = -1

Step 2: Solve for x

Substitute in y:                    -2x + 3(x - 2) = -1Distribute 3:                         -2x + 3x - 6 = -1Combine like terms:            x - 6 = -1Isolate x:                               x = 5

Step 3: Solve for y

Define equation:                    y = x - 2Substitute in x:                       y = 5 - 2Subtract:                                 y = 3

Please help




Thank you

Answers

Answer:

[tex]C)2\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{24}\\=\sqrt{2*2*2*3} \\=\sqrt{4*6}\\=2\sqrt{6}[/tex]

Mia and Merle together have $285. Mia wins $25 from Merle and then finds she has 4 times as much as Merle. How much did Mia have at first?​

Answers

45.60$ i belive

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.........................................................

Answers

Answer:

The volume of the figure is 126 cubic cm

Step-by-step explanation:

The figure consists of two rectangular prisms of dimensions 6 x 7 x 1 and 3 x7 x 4 respectively.

Calculate the first volume:

[tex]V_1=6~cm\cdot 7~cm\cdot 1~cm= 42~cm^3[/tex]

[tex]V_1= 42~cm^3[/tex]

Calculate the second volume:

[tex]V_2=3~cm\cdot 7~cm\cdot 4~cm= 84~cm^3[/tex]

[tex]V_2= 84~cm^3[/tex]

The total volume of the figure is the sum of both volumes:

[tex]V_t=V_1+V_2=42~cm^3+84~cm^3=126~cm^3[/tex]

The volume of the figure is 126 cubic cm

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Answers

Answer:

B or 5

Step-by-step explanation:

25/5 =5

100/20 = 5

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Answers

Answer:

there are 25 students in the class and 15 who wear glasses.

Answer:

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Answers

Answer:

y-6=2(x-(-1))

Or simplified:

y-6=2(x+1)

Step-by-step explanation:

use the formula: y-y1=m(x-x1)

Shoes: $59.97, Shirt: $10.99, Pants: $19.99
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Answers

Answer:

90.95

Step-by-step explanation:

Answer:

If you add it all up, your answer is $90.95

Hideki found the solution for the equation below to be r = 66.6(5 + r) = 96 What mistake did Hideki make in solving the equation? What is the correct solution?
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B.He did not divide both sides by 6; r = 16.
C.He did not multiply both sides by 6; r = 571.
D.He did not subtract 5 from both sides; r = 15.

Answers

Answer:

A

Step-by-step explanation:

Answer:

See for the answer below:

Step-by-step explanation:

The answer is A.

if $3.50 per bag of five apple how much is one apple

Answers

Answer:

70¢ per apple

Step-by-step explanation:

Because it's $3.50 per bag of 5 apples, you can divide $3.50 and 5 by 5 to get 70¢ per apple.

Answer:

70⊄

Step-by-step explanation:

$3.5 ÷ 5 = 70⊄

f(x) = 2x4 – 14x3 + 33x2 – 26x
Given that x = 3 + i is a solution of the equatio
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Answers

Answer:

x = 0, 2, 5/2 ± 1/2i

Step-by-step explanation:

I'm not really sure what the question is asking but I'm going to assume you want to find the zeroes of the function.

0 = 2x^4 - 14x^3 + 33x^2 - 26x

~Factor

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~Set factors to equal 0 and solve

x - 2 = 0

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x = 0, 5/2 ± 1/2i

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Find the solution of the system of equations.


First equation,

4x – 3y = -13

Second equation,

-2 + 6y = -44

Answers

Answer:

the answer is Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−17/2, -7)

Equation Form:x=-17/2 y=-7

Answer:

Step-by-step explanation:

I will answer it if the other person doesnt


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Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes, she is rightYes, she will have  $1.65 left

Step-by-step explanation:

2)

"4 friends had a lunch together [...] $33.40"

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Everyone must pay = $8.35

Money left = $10 - $8.35

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Answers

Answer:

$184

Step-by-step explanation:

I looked at an APR calculator

Which expression is equivalent to (5^(3))^(2)

Answers

Answer:

Step-by-step explanation:

[tex](a^{m} )^{n}[/tex] = [tex]a^{mn}[/tex]

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please help. it would be appreciated.

Answers

Answer:

a

Step-by-step explanation:

7. The graph of the linear function is shown on the coordinate grid below.

Answers

Answer:  C . The slope is -4/3  and the y-intercept is 4.

Step-by-step explanation:

Using the two given points, we will use them to evaluate the slope and the y intercept.  

(-1.5,6)

( 4.5,-2)  

To find the slope we will find the difference in the y coordinates of the points and divide it by the difference in the x coordinates of the point.

6-(-2) = 8  

-1.5 - 4.5 = -6

Slope :  8/-6=  -4/3.

Since the slope is -4/3, we will use the formula  y= mx + b to find the y intercept. In the formula  y= mx + b, the slope is m and b is the y intercept.  

Use one of the given points, and input its x and y values into the formula including the slope to solve for b(the y-intercept).

We will use the point,  ( -1.5,6)  

6 = -4/3(-1.5) + b

6 = 2 + b  

-2   -2

b = 4.

b is indeed equal to 4 because it even indicates on the  graph that the y intercept is 4 which is where x is equal to 0.

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Answers

Answer:

Step-by-step explanation:

b = bouquet c = centerpieces

13b + 4c = 487

6b + 2c = 232

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