Answer:
95.15%
Step-by-step explanation:
We have that the mean (m) is equal to 20, the standard deviation (sd) 3
They ask us for P (x <25)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / sd
We have all these values, replacing we have:
z = (25 - 20) / (3)
z = 1.66
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <1.66) = 0.9515
Which means that the probability that it arrives before 25 minutes is 95.15%
First, find the area of the circle A=pi r^2 = 3.14 (8)^2=200.96
the radius is half the diameter so r=16/2=8
Second, find the area of the triangle A=(hb)/2=(8*16)/2=64
since the triangle is resting on the diameter of the circle that means the height of the triangle is also the radius of the circle so h=8 and b=16
Third, subtract the area of the triangle from the area of the circle to find the area of the shaded regions.
so...
200.96-64=136.96
is the answer.
D = 5/6 sqrt(h)
7 = 5/6 sqrt(h)
42/5 = sqrt(h)
h = (42/5)^2 = 1,764/25 = 70.56
The height of the mast is 70.56 miles
I think A is the answer I might be wrong tho
If you would like to solve 2 1/2 divided by 1 5/8, you can calculate this using the following steps:
2 1/2 / 1 5/8 = 5/2 / 13/8 = 5/2 * 8/13 = 20/13 = 1 7/13
The correct result would be C. 1 and 7/13.
