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2 years ago

Jon ran around a track that was 1/8 of mile long. He ran around the track 24 times. how many miles did Jon run in all?

Mathematics

2 answers:

NISA [10]2 years ago

8 0

Jon ran 3 miles around the track.

Cerrena [4.2K]2 years ago

4 0

If the track is one eight of a mile long this means he would have to run around 8 times in order to run one mile. And since he ran around 24 times we can say that he has run 3
miles. This means:

24/8=3 total distance

Hope this helps :)

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MakcuM [25]

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2 years ago

Factor the trinomial x^2-5x-6

sasho [114]

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2 years ago

Professor Sanchez has been teaching Principles of Economics for over 25 years. He uses the following scale for grading. Grade Nu

Tasya [4]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Professor Sanchez has been teaching Principles of Economics for over 25 years. He uses the following scale for grading. Grade Numerical Score Probability A 4 0.090 B 3 0.240 C 2 0.360 D 1 0.165 F 0 0.145

a. Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

b. What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

c. What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Answer:

a. Cumulative Probability Distribution

Grade P(X ≤ x)

F 0.145

D 0.310

C 0.670

B 0.910

A 1

b. P(at least B) = 0.330

c. P(pass) = 0.855

Step-by-step explanation:

Professor Sanchez has been teaching Principles of Economics for over 25 years.

He uses the following scale for grading.

Grade Numerical Score Probability

A 4 0.090

B 3 0.240

C 2 0.360

D 1 0.165

F 0 0.145

a. Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

The cumulative probability distribution is given by

Grade = F

P(X ≤ x) = 0.145

Grade = D

P(X ≤ x) = 0.145 + 0.165 = 0.310

Grade = C

P(X ≤ x) = 0.145 + 0.165 + 0.360 = 0.670

Grade = B

P(X ≤ x) = 0.145 + 0.165 + 0.360 + 0.240 = 0.910

Grade = A

P(X ≤ x) = 0.145 + 0.165 + 0.360 + 0.240 + 0.090 = 1

Cumulative Probability Distribution

Grade P(X ≤ x)

F 0.145

D 0.310

C 0.670

B 0.910

A 1

b. What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

At least B means equal to B or greater than B grade.

P(at least B) = P(B) + P(A)

P(at least B) = 0.240 + 0.090

P(at least B) = 0.330

c. What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Passing the course means getting a grade of A, B, C or D

P(pass) = P(A) + P(B) + P(C) + P(D)

P(pass) = 0.090 + 0.240 + 0.360 + 0.165

P(pass) = 0.855

Alternatively,

P(pass) = 1 - P(F)

P(pass) = 1 - 0.145

P(pass) = 0.855

4 0

2 years ago