Answer: a = 8
Step-by-step explanation:
Volume of a square based pyramid is given as
.
where a is the length of the side and h is the height.
Substituting into the formula , we have
V =
128 = 
/3
384= 
X 6
Divide through by 6
384/6 =
64 =
Therefore :
a = 
a = 8
Answer:
Step-by-step explanation:
The given equality is
Take the term 
to the left hand side. This means the term 
will be divided by
Now since both the numerator and denominator have negative sign the value of fraction will be positive.
Now 
and 
So, the missing factor
Answer:
a) 29.23% probability that a randomly selected home run was hit to right field
b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.
(a) What is the probability that a randomly selected home run was hit to right field?
Desired outcomes:
19 home runs hit to right field
Total outcomes:
65 home runs
19/65 = 0.2923
29.23% probability that a randomly selected home run was hit to right field
(b) Was it unusual for this player to hit a home run to right field?
29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
Answer:
174339220050
Step-by-step explanation:
50(3^20)
=(50)(3486784401)
=174339220050
