Answer:
Following are the solution to the given points:
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, we assume that "x" denotes as an actual time of the battery charging, that is a uniform random variable that
In point a:
so, pdf of x =
In point b:
To find

In point c:

In point d:

(area of square) - (area of triangle)
We know the are of a square is equal to s^2, where s is the side length.
While the are of a right angle tringle is 1/2*base*height
Then we have,
s = 10
base = 4
height = 4
(area of square) - (area of triangle)
=> (10^2) - (1/2)(4)(4)
=> 100 - 8
=> 92
Finally we get: 92 in^2
Answer:4 gallons of water ... 30 plants
x gallons of water = ? ... 45 plants
If you would like to know how much water will it take to water 45 plants, you can calculate this using the following steps:
4 * 45 = x * 30
180 = 30 * x /30
x = 180 / 30
x = 6 gallons of water
Result: You will use 6 gallons of water to water 45 plants.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Because we are told equivalent expressions for y and z we can plug those in to 2(y+z).

Then simplify by combining like terms of the expressions. Values ending in x^2 can be combined with each other.

Now we can distribute the 2 by multiplying each value in the parentheses by 2.

The interest is 11.62% compounded monthly. Converting this to an effective rate:
i = (1 + 0.1162/12)^12 - 1
i = 0.1226
We use this formula to solve the problem:
455.96 = (23860(1.0811) + 1695 + 228 - C) [0.0811(1+0.0811)^3]/[(1+0.0811)^3 - 1]
Solving for C
C = 4413.13
The cost of her car was $4,413.13.