Answer:
The mean is 11.5 minutes and the standard deviation is of 6.64 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean is:
The standard deviation is:
Arrival time of 9:18 am and a late arrival time of 9:41 am.
9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.
Mean:
Standard deviation:
The mean is 11.5 minutes and the standard deviation is of 6.64 minutes
Answer:
12:45 pm
Step-by-step explanation:
First we find out the amount of time it takes to drive 90 miles at 60 mph.
speed = distance/time
time * speed = distance
time = distance/speed
time = 90 miles / 60 mph
time = 1.5 hour = 90 minutes
It takes 1.5 hour, or 90 minutes, to drive 90 miles at a speed of 60 mph.
To get there at 2:00 pm, he should have left at 12:30 pm.
He got there 15 minutes late, so he must have left 15 minutes late.
He left at 12:45 pm.
Answer: 12:45 pm
Answer:
57
Step-by-step explanation:
Answer: $15385 should be deposited.
Step-by-step explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 7.8%. So
r = 7.8/100 = 0.078
It was compounded for 4 years. Therefore,
t = 4
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore
21000 = P (1+0.078/12)^12×4
21000 = P (1+0.078/12)^48
21000 = P (1+0.0065)^48
21000 = P (1.0065)^48
P = 21000/1.365
P = $15385
