Answer:

And replacing we got:

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
Step-by-step explanation:
We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:

And for this case we want to find the following probability:

We can find this probability using the complement rule and the cumulative distribution function given by:

Using this formula we got:

And replacing we got:

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
Answer:
2.5477 feet
Step-by-step explanation:
Refer the image attached to understand my solution.
BC = height of lamppost.
DE = Julia
AD = shadow of Julia
BD = 2 feet. AD = 5 feet
BA = BD + AD
= 2 + 5 = 7 feet
In ΔABC
tan 20° = 
BC = 7 * tan 20°
BC = 2.5477 feet
SO the height of lamppost = 2.5477 feet
Answer:
of the phones in office has both a speaker phone and a conference-call capability
Step-by-step explanation:
Since total number of phones in the office is not given, the answer will be "in that terms".
let it be x
So built in speaker phones is (1/4)x
Hence conference call phones would be (1/2)(1/4x) = (1/8)x
Hence "1/8th of the phones in office has both a speaker phone and a conference-call capability"
In general this property looks like
a*1 = a.
This is identity property of multiplication, or multiplicative identity property.
If you would like to know how much of the damages will the insurance company have to pay, you can calculate this using the following steps:
x% of $32000 is $25000
x% * 32000 = 25000
x/100 * 32000 = 25000
x * 320 = 25000
x = 25000 / 320
x = 78.125%
The insurance company will have to pay 78.125% of the damages.