Answer:
Mean = 15
Standard deviation = 1.94
Step-by-step explanation:
We are given the following information:
We treat favoring of building a police substation as a success.
P(Success) = 75% = 0.75
Then the number of citizens follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 20
We have to find the mean and the standard deviation.
Thus, the mean of favoring the substation is 15 and the standard deviation of favoring substation is 1.94
Answer:
530.998cm^2
Step-by-step explanation:
General formula for the area of a circle is πr^2
And π is given to be 3.142
R is 13 cm
So let's apply the formula
Area=3.142×(13^2)
Area=3.142×169
Area=530.998cm^2
So the area of the circle is 530.998cm^2
For cylinder
h=2m
d=5×2m=10m
so r=d/2=10/2=5m
so volume of cylinder=pi×r^2×h
=3.14×5×5×2
=3.14×50
=157m^2
Answer:
![67.5\text{ [square units]}](https://tex.z-dn.net/?f=67.5%5Ctext%7B%20%5Bsquare%20units%5D%7D)
Step-by-step explanation:
The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.
<u>Formulas</u>:
- Area of rectangle with base
and height 
: 
- Area of triangle with base and height :
By definition, the base and height must intersect at a 90 degree angle.
The rectangle has a base of 10 and a height of 5. Therefore, its area is 
.
The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is 
.
Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is 
.
Thus, the area of the total irregular figure is:
![50+5+12.5=\boxed{67.5\text{ [square units]}}](https://tex.z-dn.net/?f=50%2B5%2B12.5%3D%5Cboxed%7B67.5%5Ctext%7B%20%5Bsquare%20units%5D%7D%7D)
This has 3 significant figures because of the 0 at the right end of the number
