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Masja [62]
2 years ago
6

Write each equation in standard form. y=0.5x+3

Mathematics
1 answer:
dimulka [17.4K]2 years ago
6 0
The equation in standard form is 0.5x-y=-3.
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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

7 0
3 years ago
Please help me get the right answer urgently. And I’ll give you Brainliest in seconds.
inn [45]

Answer: i dont know im just a furry im not that smart

Step-by-step explanation: i know laugh at my make fun of me i was bullied for my whole life it started when i was in preschool but now im in 12 grade and i stil have been bullied so i dont care im just a fool of myself

7 0
3 years ago
Please answer quick!
inessss [21]
The answer should be the 3rd one
5 0
3 years ago
Don works in home construction. He determined that the function t(A)=144A/9.252 gives the total number of 9 in. tiles needed to
Oksanka [162]

Answer:

6,226 tiles of 9 in are needed to cover an area of 400 square feet

Step-by-step explanation:

Let

A -----> an area in square feet

t(A) ---> the total number of 9 in. tiles needed

we have

t(A)=\frac{144A}{9.252}

For A=400 ft^2

substitute in the equation and solve for t

t(400)=\frac{144(400)}{9.252}

t(400)=6,226\ tiles

That means -----> 6,226 tiles of 9 in are needed to cover an area of 400 square feet

6 0
3 years ago
Forever Fitness charges $50 a month and $15 for each exercise class you take. Peachtree Gym charges $75 a month and $10 for each
Anarel [89]

Answer:

dont know sorry

Step-by-step explanation:

3 0
2 years ago
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