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2 years ago

John’s motorcycle average speed on motorcycle is 50 km/h. If he drives it for 3 hours how far does he travel?

Mathematics

2 answers:

marysya [2.9K]2 years ago

6 0

Speed=50km/h
Time=3h

Distance.

Avg. Speed×Time
50(3)
150km

professor190 [17]2 years ago

4 0

$\qquad\qquad\huge\underline{{\sf Answer}}$

Here we go ~

Average speed of John's motorcycle is 50 km/h and he drives for 3 hours.

We have been asked to find the distance travelled by John in this tike interval.

So, let's apply the formula :

$\qquad \sf distance = avg. \: speed \times time$

$\qquad \sf \dashrightarrow \: d = 50 \times 3$

$\qquad \sf \dashrightarrow \: d =150 \: km$

So, he travelled 150 km in 3 hours ~

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$\mathbf{n(P\ n\ C) = 25}$

$\mathbf{n(C) = 30}$

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Express as percentage

$\mathbf{Pr = 83.33\%}$

Hence, the probability a student passed the course given that they completed their homework is 83.33%

(b) The probability a student passed the course given that they didn't complete their homework

From the table, we have:

$\mathbf{n(P\ n\ C'= 7}$

$\mathbf{n(C') = 25}$

So, the required probability is:

$\mathbf{Pr = \frac{n(P\ n\ C')}{n(C')}}$

This gives

$\mathbf{Pr = \frac{7}{25}}$

$\mathbf{Pr = 0.28}$

Express as percentage

$\mathbf{Pr = 28\%}$

Hence, the probability a student passed the course given that they didn't complete their homework is 28%

(c) The probability a student completed their homework given that passed the course?

From the table, we have:

$\mathbf{n(P\ n\ C) = 25}$

$\mathbf{n(P) = 32}$

So, the required probability is:

$\mathbf{Pr = \frac{n(P\ n\ C)}{n(P)}}$

This gives

$\mathbf{Pr = \frac{25}{32}}$

$\mathbf{Pr = 0.78125}$

Express as percentage

$\mathbf{Pr = 78.125\%}$

Approximate

$\mathbf{Pr = 78.13\%}$

Hence, the probability a student completed their homework given that they passed the course is 78.13%

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From the table, we have:

$\mathbf{n(P'\ n\ C'= 18}$

$\mathbf{n(P) = 23}$

So, the required probability is:

$\mathbf{Pr = \frac{n(P'\ n\ C')}{n(P')}}$

This gives

$\mathbf{Pr = \frac{18}{23}}$

$\mathbf{Pr = 0.7826}$

Express as percentage

$\mathbf{Pr = 78.26\%}$

Hence, the probability a student didn't complete their homework given that they didn't pass the course is 78.26%

John’s motorcycle average speed on motorcycle is 50 km/h. If he drives it for 3 hours how far does he travel? ​

John’s motorcycle average speed on motorcycle is 50 km/h. If he drives it for 3 hours how far does he travel?