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almond37 [142]
2 years ago
5

Help me pls

" title="\frac{a-b}{ab^{1/2} - a^{1/2}b}" alt="\frac{a-b}{ab^{1/2} - a^{1/2}b}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
kenny6666 [7]2 years ago
5 0
I am not sure on the detail question but,this is the only way I can think off;simplifying the denomanitor by factoring out a^1/2b^1/2

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Benny is trying to learn how to ride a bike, but is terrified of falling. He did some research, and discovered that if he rides
Anestetic [448]

Answer:

a) 7.14% probability that Benny was learning to ride a bike using the training wheels

b) 28% probability that Benny was learning to ride a bike using the training wheels

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

Benny came home crying with a bruise on his knee, after falling. His mom is trying to guess how Benny was trying to learn to ride a bike.

a) Assuming that the probability that Benny was using each of these 3 methods is equal, what is the probability that Benny was learning to ride a bike using the training wheels?

So

Event A: Benny fell

Event B: Benny was using training wheels.

The probability that Benny was using each of these 3 methods is equal

This means that P(B) = \frac{1}{3}

He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1;

This means that P(A|B) = 0.1

Probability of falling:

1/3 of the time, he uses training wheels. With training wheels, the probability of falling is 0.1.

1/3 of the time, he uses the bike without training wheels. Without training wheels, the probability of falling is 0.5

1/3 of the time, he uses the unicycle, for which he has an 0.8 probability of falling. Then

P(A) = \frac{0.1 + 0.5 + 0.8}{3} = 0.4667

So

P(B|A) = \frac{\frac{1}{3}*0.1}{0.4667} = 0.0714

7.14% probability that Benny was learning to ride a bike using the training wheels

b) Since Benny's mom knows Benny so well, she knows that the probability that he was using training wheels is 0.7, regular bike is 0.2, and unicycle is 0.1. What is the probability now that Benny fell while using the training wheels?

Similar as above, just some probabilities change.

Event A: Benny fell

Event B: Benny was using training wheels.

The probability that he was using training wheels is 0.7

This means that P(B) = 0.7

He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1;

This means that P(A|B) = 0.1

Probability of falling:

0.7 of the time, he uses training wheels. With training wheels, the probability of falling is 0.1.

0.2 of the time, he uses the bike without training wheels. Without training wheels, the probability of falling is 0.5

0.1 of the time, he uses the unicycle, for which he has an 0.8 probability of falling. Then

P(A) = 0.7*0.1 + 0.2*0.5 + 0.1*0.8 = 0.25

So

P(B|A) = \frac{0.7*0.1}{0.25} = 0.28

28% probability that Benny was learning to ride a bike using the training wheels

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3 years ago
A circular pizza with a diameter of 8 inches. The pizza is in a square box with side lengths of 8 inches. In square inches, how
Mumz [18]

Step-by-step explanation:

13.70 square inches of the box is empty

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Emerson practice a game that was on sale for 18% off the sales tax in his country is a present let y represent the original pric
lawyer [7]

Answer: y - 0.18y

Step-by-step explanation:

From the question, Emerson practice a game that was on sale for 18% off the sales tax in his country.

Let y represent the original price of the game. The be used to determine the final cost of the game will be:

We have to subtract the 18% discount from the original price to get the final cost of the game. This will be:

= y - (18% of y)

= y - (18/100 × y)

= y - (0.18 × y)

= y - 0.18y

The final expression is y-0.18y

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Can someone help me with this please???
AysviL [449]

Answer:

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Step-by-step explanation:

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How much tip should you leave if you want to tip 25% at PF Chang on a $37.99 bill ??​
Naddik [55]

Answer:

Step-by-step explanation:

37.99 * 25%= 9.497 or $9.50 tip

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