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Drupady [299]
3 years ago
13

If you hike three miles every 5 minutes, how far are you going in 1 minute?

Mathematics
2 answers:
V125BC [204]3 years ago
6 0

Answer:

0.6 miles per minute

Step-by-step explanation:

3/5 = 0.6/1 = 0.6

defon3 years ago
6 0

Answer:

0.6 miles or 3168 feet

Explanation:

In 5 minutes, you hike 3 miles, so in 1 minute you hike 3/5 miles or 0.6 miles.

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Solve for the indicated variable.<br> 8y + 7x = 9 for x
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Answer:

8y + 7x-7x=x-7x

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3 years ago
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A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student
Mademuasel [1]

Answer:

37.70% probability that the student will pass the test

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses it correctly, or he does not. The probability of a student guessing a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

10 true/false questions.

10 questions, so n = 10

True/false questions, 2 options, one of which is correct. So p = \frac{1}{2} = 0.5

If a student guesses on each question, what is the probability that the student will pass the test?

P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{10,6}.(0.5)^{6}.(0.5)^{4} = 0.2051

P(X = 7) = C_{10,7}.(0.5)^{7}.(0.5)^{3} = 0.1172

P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0439

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.0010

P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2051 + 0.1172 + 0.0439 + 0.0098 + 0.0010 = 0.3770

37.70% probability that the student will pass the test

8 0
3 years ago
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