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3 years ago

Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.

Mathematics

1 answer:

alukav5142 [94]3 years ago

5 0

Answer:

Maya's biking speed is 8 miles per hour.

Step-by-step explanation:

She can run 18 miles in 3 hours. That means she could run 6 miles in one hour. So, if she can ride her bike 18 miles in 2 hours she can bike 9 miles per hour.

If she bikes for 27 (3 hours) miles and runs 9 miles (1.5 hours) then taking the total of miles dividing it by the time you would get Maya's speed.

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3 years ago

Read 2 more answers

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3 years ago

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scZoUnD [109]

Answer:

The probability that they will teach different courses is $\frac{2}{3}$ .

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

Compute the probability that they will teach different courses as follows:

$P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}$

Thus, the probability that they will teach different courses is $\frac{2}{3}$ .

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3 years ago