Answer:
21.5%
Step-by-step explanation:
The area of the 4 circles together = 4×π×12^2
The area of the square = 48^2
then the probability that the point is in one of the circles =
(4×π×12^2)÷48^2
=0.785398163397
Therefore, the probability that the point is not in a circle =
1 - 0.785398163397 = 0.214601836603
converted into percentage : 21.4601836603
rounded = 21.5%
Split up the interval [0, 2] into 4 subintervals, so that
![[0,2]=\left[0,\dfrac12\right]\cup\left[\dfrac12,1\right]\cup\left[1,\dfrac32\right]\cup\left[\dfrac32,2\right]](https://tex.z-dn.net/?f=%5B0%2C2%5D%3D%5Cleft%5B0%2C%5Cdfrac12%5Cright%5D%5Ccup%5Cleft%5B%5Cdfrac12%2C1%5Cright%5D%5Ccup%5Cleft%5B1%2C%5Cdfrac32%5Cright%5D%5Ccup%5Cleft%5B%5Cdfrac32%2C2%5Cright%5D)
Each subinterval has width 
. The area of the trapezoid constructed on each subinterval is 
, i.e. the average of the values of 
at both endpoints of the subinterval times 1/2 over each subinterval ![[x_i,x_{i+1}]](https://tex.z-dn.net/?f=%5Bx_i%2Cx_%7Bi%2B1%7D%5D)
.
So,
A.
miles per gallon
given
450 miles on 10 gallons
450/10=45/1=45mi/1gal
45mpg
the milage is 45 miles per gallon
b.
60 gallons?
45 miles per gallon times 60 gallons=2700 miles
can travel 2700 miles with 45 gallons
Answer:
1:4
Step-by-step explanation:
If 8/10 prefer Crest, that means 2/10 don't prefer it.
To find the ratio, put together the number that don't prefer it to the number that does:
2:8
Simplify by dividing each side by 2:
1:4
So, the ratio is 1:4
