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4 years ago

What is the probability that no more than 5 of the next 100 skiers who attempt this run will injure themselves

Mathematics

1 answer:

san4es73 [151]4 years ago

6 0

That ratio will be 5/100 because it's 5 out of 100 people

Therefore the probability is <= 5%

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On Thursday, a website received x advertisement orders. On Friday, the website received 8 more advertisement orders than on Thur

gladu [14]

Answer:

2x+8

Step-by-step explanation:

6 0

3 years ago

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Suppose that you have a bowl of 500 m&m candies, and each day you eat 1/4 of the candies you have. Is the number of candies

Aleks [24]

Answer:

$500(.75)^{n}$

Step-by-step explanation:

It is changing exponentially because if you are eating a fraction of the left over m & m's, that is a different amount each time so it can't be linear.

500(1-(1/4))^n

$500(.75)^{n}$

8 0

3 years ago

Which of the two data sets shown in the box<br>plots below has the greater mean?

grandymaker [24]

Answer:

Step-by-step explanation:

Remember that the mean is average

Ex. Set A

Add then divide by the 8

7 0

3 years ago

A person tried by a 3-judge panel is declared guilty if at least 2 judges cast votes of guilty. Suppose that when the defendant

astraxan [27]

Answer:

The probability is 0.6831

Step-by-step explanation:

Let's call G the event that the defendant is guilty, G' the event that the defendant is not guilty, A the event that the judge 1 vote guilty, B the event that the judge 2 vote guilty and C the event that the judge 3 vote guilty.

Then, the probability P(C/(A∩B)) that that judge number 3 votes guilty given that judges 1 and 2 vote guilty is calculated as:

P(C/(A∩B)) = P(C∩A∩B)/P(A∩B)

Then, P(A∩B) is calculated as:

P(A∩B) = P(G)*P(A/G)*P(B/G) + P(G')*P(A/G')*P(B/G')

P(A∩B) = 0.7*0.7*0.7 + 0.3*0.2*0.2

P(A∩B) = 0.343 + 0.012

P(A∩B) = 0.355

Where P(G) is the probability that the defendant is guilty, P(A/G) and P(B/G) are the probabilities that the judge 1 and 2 vote guilty given that the defendant is guilty, P(G') is the probability that the defendant is innocent and P(A/G') and P(B/G') are the probabilities that the judge 1 and 2 vote guilty given that the defendant is innocent.

At the same way, P(C∩A∩B) is calculated as:

P(C∩A∩B) = P(G)*P(A/G)*P(B/G)*P(C/G) + P(G')*P(A/G')*P(B/G')*P(C/G')

P(C∩A∩B) = 0.7*0.7*0.7*0.7 + 0.3*0.2*0.2*0.2

P(C∩A∩B) = 0.2401 + 0.0024

P(C∩A∩B) = 0.2425

Finally, P(C/(A∩B)) is:

P(C/(A∩B)) = 0.2425/0.355

P(C/(A∩B)) = 0.6831

8 0

3 years ago

a ballon has an angle of elevation of 54° from a point on the ground. from the point on the ground to the balloon the distance i

wlad13 [49]

Answer: 202.25 feet.

Step-by-step explanation:

You can draw a right triangle based on the information given in the problem, where the hypotenuse is 250 feet and the opposite side is the height of the balloon asked.

Therefore, you can solve it as following:

$sin\alpha=\frac{opposite}{hypotenuse}$

Substitute values and solve for x, then the result is:

$sin(54\°)=\frac{x}{250}\\x=250*sin(54\°)\\x=202.25$

7 0

3 years ago

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