Answer:
The distance to his office is 2.5 miles.
Step-by-step explanation:
Given : Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes.
To find : What is the distance in miles to his office?
Solution :
The relationship between distance, speed and time is
The speed of bicycle is 10 miles per hour.
Time taken is 15 minutes.
Converting into hours,
1 hour = 60 minutes
1 minute = 
hours
15 minute = 
hours
15 minute = 0.25 hours
Substitute the value sin the formula,
Therefore, The distance to his office is 2.5 miles.
Answer:
Step-by-step explanation:
Distance covered = speed × time.
Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.
This means distance covered while running would be
3.8 × 1/2 = 1.9 meters
Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be
1.5 × 1/2 = 0.75 meters
Total distance that Sasha covered while running and walking in 60 minutes would be
1.9 + 0.75 = 2.65 meters
Answer:
a. What is the probability that the cost will be more than $450?
We are supposed to find P(x > 450)
Formula : 
Refer the z table :
P(z<0.9431)=0.8264
P(z> 0.9431)=1-P(z<0.9431)=1- 0.8264= 0.1736
Hence the probability that the cost will be more than $450 is 0.1736
b)What is the probability that the cost will be less than $250?
We are supposed to find P(x<250)
Formula :
Refer the z table :
P(z<-1.3295)=0.0934
Hence the probability that the cost will be less than $250 is 0.0934
c)What is the probability that the cost will be between $250 and $450?
P(250<z<450)=P(z<450)-P(z<250) = 0.8264 - 0.0934 =0.733
Hence the probability that the cost will be between $250 and $450 is 0.733
d) If the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost?
p = 0.05
refer the z table
z = -1.65
Formula :
Hence If the cost for your car repair is in the lower 5% of automobile repair charges, so, cost is $221.8
