Question

Converting units in probability and statistics

Answer 1

N 1

Remember that

the speed is equal to divide the distance by the time

s=d/t

in this problem

we have

d=100 yd

t=5.1 sec

therefore

Convert the units

1 mile=1,760 yards

1 hour=3,600 seconds

so

d=100 yd=100/1,760 miles

t=5.1 sec=5.1/3,600 hours

Find out the speed

speed=(100/1,760)/(5.1/3,600)

speed=40 miles/hour

N 2

speed=175 miles/hour

speed=d/t

d=speed*t

For t=12 sec -----> convert to hours

1 hour=3,600 sec

12 sec=12/3,600 hours

d=175(12/3,600)

d=0.5833 miles

Convert miles to feet

1 mile=5,280 ft

0.5833 miles=0.5833*5,280=3,080 ft

Convert 12 sec to hours

1 hour=3,600 sec

so

`12\text{ sec=12 sec}\cdot(1)/(3,600)(hours)/(\sec)=12\sec \cdot\frac{1\text{ hours}}{3,600\text{ sec}}=(12)/(3,600)\text{hours}`