Answer:
Step-by-step explanation:
All the angels of a triangle always add up to 180
(2x-15)+(x+43)+x = 180
Multiple the numbers inside the parentheses first
-30x+43x+x = 180
Add common terms
14x = 180
Divide by 14 to get the variable by itself
x ≈ 12.86
Answer:
The height of the density function is 
Step-by-step explanation:
Given : A random variable X follows the continuous uniform distribution with a lower bound of −4 and an upper bound of 18.
To find : What is the height of the density function f(x)?
Solution :
According to question,
The height of the density function is given by,

Where, a is the lower bound a=-4
b is the upper bound b=18
Substitute the value in the formula,



Therefore, The height of the density function is 
Answer:
25th
Step-by-step explanation:
For this case, the first thing we must do is define variables:
x: cost of each basketball
y: cost of each soccer ball
We now write the system of equations:
6x + y = 27
4x + 2y = 22
Solving the system we have:
x = 4 $
y = 3 $
Answer:
basketballs cost $ 4
soccer balls cost $ 3
Slope = change in y over change in x
So,
M = 12/3 = 4