Answer:
L=1 ft and B=84 ft
L=2 ft and B=42 ft
L=4ft and B=21ft
L=6ft and B=14 ft
L=7ft and B=12ft
L=12 ft and B=7ft
L=14ft and B=6 ft
L=21 ft and B=4 ft
L=42 ft and B=2 ft
L=84 ft and B=1 ft
Step-by-step explanation:
We are given that
Area of rectangular floor=84 square feet
We have to find the possible length and width of for Angelo's clubhouse.
Area of rectangle=
Using the formula
Area of rectangular floor for clubhouse=84 square feet

Factor of 84 are
1,2,4,6,7,12,14,21,42,84
Therefore, possible dimension of rectangular floor

L=1 ft and B=84 ft
L=2 ft and B=42 ft
L=4ft and B=21ft
L=6ft and B=14 ft
L=7ft and B=12ft
L=12 ft and B=7ft
L=14ft and B=6 ft
L=21 ft and B=4 ft
L=42 ft and B=2 ft
L=84 ft and B=1 ft
Given:
Circle C and circle R are similar.
The length of arc AB is 
The radius of circle C (AC) = 4 unit
The radius of circle R (QR) =6 unit
To find the length of arc QP.
Formula
The relation between s, r and
is

where,
s be the length of the arc
r be the radius
be the angle.
Now,
For circle C
Taking r = 4
According to the problem,

or,
[ eliminating
from both side]
or, 
or, 
Again,
For circle R
Taking, r = 6 and
we get,
The length of arc QP is

or, 
Hence,
The length of QP is
. Option C.
Answer:
The mean of X is 122.5 and the standard deviation is 7.9.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

In this problem, we have that:

So


The mean of X is 122.5 and the standard deviation is 7.9.
Answer:
no entiendo nada eso es inglés y pus yo no lo entendo