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Vika [28.1K]
3 years ago
9

In a carnival game, there is a 45% probability of winning a prize. Which of the following is true.

Mathematics
2 answers:
ss7ja [257]3 years ago
8 0

Answer:

Option A , C, D are true.

Step-by-step explanation:

Given : In a carnival game, there is a 45% probability of winning a prize.

To find : Which of the following is true.

Solution : Probability of winning a prize is 45%

or \frac{45}{100}=\frac{9}{20}=0.45

Total probability of an event is 1

Probability of winning is 0.45

Then probability of loosing is 1-0.45=0.55

or 0.55=\frac{55}{100}=\frac{11}{20}

From the results we can say that,

A) The probability that you won't win is 11/20   is true

B) The probability that you will win is 4.5  is false

C) The probability that you won't win is 0.55  is true

D) The probability that you will win is 9/20 is true

Therefore, Option A , C, D are true and B is false.

JulsSmile [24]3 years ago
7 0
Ok, here is what I got:
<span>9/20 is .45 so D is right for sure. C is also correct since the remaining % is 55 ( meaning the percent you won't win) this is also the same as A which is 11/20 or .55. again meaning that .55 is the probability that you won't win. I hope this helps!</span>
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

2 + h - 48 = 30

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A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from
sp2606 [1]

Answer:

Let´s define the variables:

x = number of people in theater A

y = number of people in theater B

We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x

We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y

There where 800 people in total (counting from the two theatres)

Then x + y = 800.

A) In this case we have:

Na = Nb

this means that:

0.2*x = 0.3*y

and we also have the equation:

x  + y = 800

To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:

x = 800 - y

And now we can replace this in the other equation to get:

0.2*(800 - y) = 0.3*y

We need to solve this for y:

160 - 0.2*y = 0.3*y

160 = 0.3*y + 0.2*y = 0.5*y

160/0.5 = y = 320

Then there where 320 people in theater B, and:

x + y = 800

x + 320 = 800

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There where 480 people in theather A.

B) Now we have:

x = 440

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Na = 0.2*440 = 88

In theater A, 88 people answered the survey.

Nb = 0.3*360 = 108

In theater B, 108 people answered the survey.

In total, 88 + 108 = 196 people answered the survey.

5 0
2 years ago
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