136 cars were sold during the month of April. 71 had air conditioning and 72 had automatic transmission. 55 had air conditioning only, 56 had automatic transmission only, and 9 had neither of these extras. What is the probability that a randomly selected car had automatic transmission or air conditioning or both

Answers

Answer 1

Answer:

0.93382

Step-by-step explanation:

Let

The event where a car has air conditioning (ac) be A

The event where a car has an automatic transmission be B

[tex]P(\text{Car has ac and cars that don't have automatic transmission})=P(A\cap B')=\dfrac{71}{136}[/tex]

[tex]P(\text{Car has car has an automatic transmission and no ac})=P(B\cap A')=\dfrac{56}{136}[/tex]

[tex]P(\text{Car has no ac and cars that don't have automatic transmission})=P(A'\cap B')=\dfrac{9}{136}[/tex]

The probability of a chosen car which has ac or automatic transmission or both

[tex]P(A\cup B)=1-P(A\cup B)'\\\Rightarrow P(A\cup B)=1-P(A'\cap B')\\\Rightarrow P(A\cup B)=1-\dfrac{9}{136}\\\Rightarrow P(A\cup B)=0.93382[/tex]

The probability that a randomly selected car had automatic transmission or air conditioning or both is 0.93382


Related Questions

Justin’s mom just had a baby that weigh 8 pounds. Justin insisted that the baby weighed 128 ounces. Is Justin correct or incorrect? Justify your answer.
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Answers

Answer:

Yes, Justin is correct.

Step-by-step explanation:

1 pound equals 16 ounces, so if you multiply 16×8, it equals 128 ounces.

Answer:

read explanation

Step-by-step explanation:

convert pounds to ounces

using the measurement system, for every 16 ounces there is 1 pound

the baby weighs 8 pounds and justin says its equal to 128 ounces.

128 divided by 16 is indeed 8 so therefore justin is right, mom

geesh listen to your kids more

Please put this in your own words Thank you and happy Halloween

Answers

Answer:

Please read explanation :)

Step-by-step explanation:

You can find the constant of proportionality of the ratio of the price to the number of bouquets from the table by dividing them. For example, it you divide 9 by 3 or 18 by 6, you get 3. Therefore, you know that every bouquet is 3 dollars. :) Hope this helps

(But please don't copy, that would be plagiarizing. Maybe you can put this in your own words? Thx <3)

What is the value of x?

Enter your answer in the box.

x = ____

Answers

Answer:

X=32

Step-by-step explanation:

since it is equilateral, all the angles are the same so they equal 60 , because those are the only possible angle measurements that an equilateral triangle can have.

we know that all the angles are equal to 60 so we set up an equation

2x-4=60

2x=64

x=64/2

x=32

Can you guys please help me out

Answers

Answer:

18

Step-by-step explanation:

xy = x times y

in our case, it is 6 times 3

so 18

Answer: 18
Explanation: the answer is 18

The distance Train A travels is represented by d = 69t, where d is the distance in kilometers and t is the time in hours. The distance Train B travels at various times is shown in the table. What is the unit rate of each train? Which train is going faster?

Answers

If d is distance measured in km and t is time measured in hours, then d = 69t tells you that train A is moving at a rate of 69 km/h.

Why? If t = 1, then d is the distance it moves in 1 hour, and that's precisely the unit rate. It's the rate at which the distance changes when 1 unit of time passes.

For train B, use the info in the given table. In 1 hour (between hours 4 and 5), the train covers a distance of 375 km - 300 km = 75 km. So it's moving at a rate of 75 km/h.

It should be clear which train is faster.

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[tex]d(A) = 69t[/tex]

[tex]d(B) = 75t[/tex]

The unit rate is the coefficient of t which is the slope of the line because the trains distance traveled equation are linear.

Thus :

Train A's unit rate is 69 km per hour.

And

Train B's unit rate is 75 km per hour.

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Train B is going faster because its unit rate is greater than Train A's unit rate .

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Elaine bought a total of 15 shirts and pairs of pants. She bought 7 more shirts than pants. How many of each did she buy? HELP

Answers

Answer:

7 shirts 8 pairs of pants

Step-by-step explanation:

:(

:)

Answer:

8 pants, and 7 shirts

Step-by-step explanation:

because there are only two factors in here, you can just subtract:

15-7=8

can i get brainliest please?

6th grade math I mark as brainliest

Answers

Answer:

the answer is d :)

Step-by-step explanation:

Is there a calculator for long-division that'll show you how the problem is done (ie breaking it down) instead of just answering?

Answers

Answer:

A website that sometimes shows breaking down long division is m a t h w a y  

Step-by-step explanation:

enter the measure of

Answers

Answer: I believe the answer is 45°

Step-by-step explanation: Hope it helps :)

Answer:

Step-by-step explanation:

sin M=8/22

[tex]\angle ~M=sin ^{-1}(\frac{8}{22}) \approx~21.32^\circ[/tex]

The amount of force needed to keep a 0.5 kg baseball moving at a constant speed of 4 m/s on frictionless ice is

Answers

Answer: 0 N

Step-by-step explanation:

Explain how to round to the hundredths 382.992

Answers

382.992 is closer to 400 because 82 is above 50 if that makes sense

The Pythagorean theorem is used to find the measurement of an angle.
True
False

Answers

Answer: False

You are welcome!

You don’t have to explain just give me the answers for these few questions please asap

Answers

Answer:

lol do u r own work this is for help no the answers

Step-by-step explanation:

Answer:

same thing you did to me bud

Answer: wheidofnnndbxkdiwijsng Step-by-step explanation: Sorry I needed points

Which describes the correlation shown in the scatterplot?

Answers

Answer:

There is no positive or negative correlation

Step-by-step explanation:

the x-values are increasing but the y-values are staying the same so if you drew a line through correlation... the slope would be around 0

Seven more than a number is less than or equal to -18

Answers

Answer:

7+x<=-18

subtract 7 from both sides

x<=-25

Step-by-step explanation:

The equation is 7+x<=-18 and the value of x = -25.

Given that,

Seven more than a number is less than or equal to -18

Based on the above information, the calculation is as follows:

7+x<=-18

x = -25

Learn more: https://brainly.com/question/12522729?referrer=searchResults

PLEASE HELP ITS DUE SOON
How can you subtract mixed numbers when the fraction in the first mixed numbers is less than the fraction in the second mixed number?

Answers

 When subtracting mixed numbers, if the fraction in the second mixed number is larger than the fraction in the first mixed number, rewrite the first mixed number by regrouping one whole as a fraction. Alternatively, rewrite all fractions as improper fractions and then subtract.

Use the information below to complete the steps of this Sample Work assignment by hand.
A high school club is conducting a cupcake sale at a local fair to raise money for a trip. The club members
are baking a total of 444 cupcakes. Each cupcake will sell for $3.00. The display tables cost $75.00 to rent.
Part A (2 points)
If n is the number of cupcakes sold and p is the profit earned, which is the independent variable and which is
the dependent variable? Explain.
Independent variable:
Dependent variable:
Explain:
Part B (2 points)
Write an algebraic equation that represents the profit.
is the relationship between n and p a function? Explain.

Answers

Answer:

cookie

Step-by-step explanation:

Ariane borrows $200 on a 6−year loan. She is charged 5% simple interest per year. How much interest is she charged for 6 years? What is the total amount she has to pay back?

After 6 years, Ariane is charged $
in interest. She pays a total amount of $
.

Answers

Answer:

she is charged 80 in interest for 4 years, the total she has to pay back is 480

Step-by-step explanation:

guys can you help me

Answers

the answer is approximately 0.0348 if your rounding

Please help! Find what the value of y is for each one. The value for x is given already. (Picture included)

Worth 30 points! :)

Answers

Ok. My answer I came up with is:

y=2-3x

Thanks

PLSSS I GIVE 60 POINTSSS

Answers

both questions ???????

How to do this problem? Please explain this in steps if possible. Thanks!

Answers

Answer: 10

Step-by-step explanation:

If two triangles are congruent, then they will have the exact same sides and angle measures.

AB=3x+1

BC=6

DE=2x

Solve for X by making 2x=6 because DE and BC are corresponding sides, indicating they are equal.

x=3, plug that in

AB=10

what is an equation in point-slope form of the line that passes through the point (4,-1) and has a slope of 6

Answers

Answer:

y = 6x + (-1) or y = 6x - 1

Step-by-step explanation:

y = mx + b

M = Slope = 6

B = y-intercept = -1

How many solutions exist for the given equation?

12(x - 5) = 16 (x - 5)



One

two

zero

Infinitely many

Answers

The answer is two solutions are given for the equation
There are two solutions with that given equation

I dont understand this ​

Answers

the answer is c because A and C are both parallel
Answer must be letter C

What is the distance between the points (4,
(4, 7) and (4, – 5)
O O units
O 2 units
o 4 units
O 12 units
Plzzzzz nowwwwwww

Answers

Answer:

2 units I used the distance formula

61. The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of .30. a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of .02

Answers

Answer: Required minimum sample size = 2017

Step-by-step explanation:

Formula : Sample size(n) for population proportion(p):

[tex]n= p(1-p)(\frac{Z^c}{E})^2[/tex] , where E = Margin of error

If p = proportion of smokers

Given: p =0.30 and E=0.02

[tex]z^c[/tex] for 95% confidence level = 1.96

So,

[tex]n=0.30(1-0.30)(\dfrac{1.96}{0.02})^2\\\=0.30(0.70)(98)^2\\\\=2016.84\approx2017[/tex]

Hence, required minimum sample size = 2017

Write an equation of the line with the given slope, m, and y-intercept (0,b).
m= 3, b=7

Answers

Answer:

The equation would be y=3x+7. Please mark as helpful if it helps, thanks!

y=mx+b so you substitute your values and get y=3x+7

Which points are solutions to the equation y=3x+5?
(2,11)
(7,16)
(−7,−16)
(−2,1)
(−3,−1)

Answers

The answer is
(2,11)
(-2,1)
And I’m pretty sure it’s also (7,16)

NEED HELP ON THIS QUESTION VERY EASY

Answers

Answer: B.

Step-by-step explanation: I UNDERSTAND HOW FRUSTRATING IT IS TO PUT AN ANSWER AND NO ONE ANSWERS IT, I DO, SO ALL I ASK IS FOR YOU TO GIVE ME BRAINLIEST. THANK YOU.

Answer:

b ive never had a brainliest ever in my life so can i have one

Step-by-step explanation:

pls GIVE ME BRAINLIEST  not trynna demand

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