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lara31 [8.8K]
3 years ago
11

A fast car travels 420 miles in a period of 210 minutes. What is the adverage rate of change of distance of the car in miles per

hour over this time period?
Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0
If you would like to know the average rate in miles per hour, you can calculate this using the following steps:

420 miles ... 210 minutes
x miles = ? ... 1 hour = 60 minutes

420 * 60 = 210 * x
x = 420 * 60 / 210
x = 120 miles

The correct result would be 120 miles per hour.
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in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin
Alborosie

<u>Answer-</u>

<em>The probability of winning on the first roll is </em><em>0.22</em>

<u>Solution-</u>

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

|S|=6^2=36

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

|E|=56

\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

|F|=2

\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}

Now,

P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22

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