The graph of f(x) opens upward
For the values of x < -5 the function is a line with negative slope, for the values of x > - 5 the function is a line with positive slope.
The two lines intercept in the point (-5,-2). That is the vertex of the function; a minimum value. So, all the other points are above the line y = -2.
Answer:
15/240 = 5/80= 1:16. helpful answer
Answer: Man sorry I don’t know how to solve that go to a math solver or something
Step-by-step explanation:
Answer:
a
The average cost is
b
The standard deviation of cost is
Step-by-step explanation:
From the question we are told that
The cost of replacing the two component is C = 50 + 2 X + 4 Y
The variance of X is mathematically represented as
V(X) =
Substituting values
The variance of Y is mathematically represented as
V(Y) =
Substituting values
The average of replacing the two component is
substituting value
The variance of replacing the two component is
Note: The variance of constant is zero
and X and Y are independent
=>
substituting values
=>
=>
=>
The standard deviation is
substituting values
Answer:
51 cubic feet
Step-by-step explanation:
This is basically a rectangular prism + pyramid.
Volume of rectangular prism = length * width * height
Volume of square pyramid = 1/3 * area of base * height
The rectangular prism's dimensions are 3 x 3 x 5 , so volume = 3*3*5 = 45
The pyramid's base is a square with side 3, so area of base = 3 * 3 = 9
The height is 2, we find the volume using the formula stated above as:
1/3 * 9 * 2 = 6
Volume of Playhouse = volume of rectangular prism + volume of pyramid
Volume of Playhouse = 45 + 6 = 51 cubic feet