Answer:
20.33%
Step-by-step explanation:
We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12
They ask us for P (x <86)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (86 - 87.5) / (6.25 / (12 ^ 1/2))
z = -0.83
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-0.83) = 0.2033
The probability is 20.33%
Answer:
5 months is the answer. 21% of 2000 is 420 and 420x5=2100 which added up is $4,100 dollars and that is just over double the original amount.
A: a horizontal shrink would be caused by cos 3x.
B: a vertical stretch would be caused by 3 cos x
C: a horizontal stretch would be caused by cos (1/3)x
D: a vertical shrink would be caused by 1/3 cos x.
Okay so your equation is going to be : 18= 5k + 3.25p
Answer:
We need to solve for the 4th side
4th side base = 75.5 -60.5 = 10 feet
4th side height = 16
4th side LENGTH^2 = 10^2 + 16^2
4th side = sq root (356) = 18.8679622641
Trapezoid Area = [(sum of the bases) / 2 ] * height
Trapezoid Area = [(136)/2] * 16
Trapezoid Area = 1,088 square feet, which is MUCH smaller
than 73,084
Step-by-step explanation: