Answer:
V = 10,240mm^3
Step-by-step explanation:
The volume of pyramid is given by the following formula:
(1)
b: base of the pyramid = (32mm)^2
h: height
Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):
by replacing in (1) you obtain:
hence, the volume is 10240mm^3
Answer:
the probability that the satellite fails is 0.0124
Step-by-step explanation:
The manufacturer of the satellite defines a success as a firing in which the satellite comes within 10 feet of the target.
This means that success has the standard deviations range in the error distribution.
Z-scores of the Ranges not within -2.5 and 2.5 can be considered as fail and the probability of this is:
P(z>2.5) + P(z<-2.5) = 2 × P(z>2.5) = 2 × 0.0062 = 0.0124