Trapezoid CDEF was reflected across the x-axis followed by a 90° rotation about the origin to create the other trapezoid shown o
2 answers:
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Answer:
a. Yes(n=500>=5, n(1-p)=25>=5)
b. 0.15241
Step-by-step explanation:
a. A normal approximation to the binomial can be used 5 and n(1-p)>=5:
#We calculate our p as follows:
=x/n=470/500=0.94
n=500
n(1-p)=500(1-0.95)=25
Hence, we can use the normal approximation.
b. This is a normal approximation.
-Given that p=0.95(95%)
-We verify if our distribution can be approximated to a normal:
Hence, we can use the normal approximation of the form:
Hence, the probability of the sample proportion is the same as the proportion of the sample found is 0.15241
Answer:
The volume of the pyramid is
Step-by-step explanation:
we know that
The volume of the triangular pyramid is equal to
where
B is the area of the triangular base
H is the height of the pyramid
step 1
Find the area of the base B
we have
substitute
step 2
Find the volume
we have
substitute