The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume o
1 answer:
So a circular pool will be in the shape of a cylinder. and the formula for finding the area of a cylinder is 
. r=radius, h=height. If we put the numbers into the equation it is 
.14 squared is 196 and 4*14= 56. So our equation is now 
. 2*pi=6.28318530718 but let's round that to 6.283. So now our equation is much simpler 6.283(196)+6.283(56). Just multiply them. 1231.504+351.858= <span>1583.362</span> is your final answer.
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Answer:
<em>a) </em><em />
<em>b) The coordinates of P are</em>
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Step-by-step explanation:
<u>Translation</u>
The dashed line shows the graph of the function
This function has a maximum value of 1, a minimum value of -1, and a center value of 0.
a)
Graph G shows the same function but translated by 2 units up, thus the equation of G is:
b) The coordinates of P correspond to the value of
The value of G is
Since
The coordinates of P are
Answer:
P(X < 3) = 0.7443
Step-by-step explanation:
We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 6
r = number of success = less than 3
p = probability of success which in our question is 0.3.
LET X = a random variable
So, it means X ~
Now, Probability that X is less than 3 = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
=
=
= 0.11765 + 0.30253 + 0.32414 = 0.7443
Therefore, P(X < 3) = 0.7443.