Answer:
2.6
Step-by-step explanation:
Given :
x 1 2 3 4
P(x) 0.3 0.2 ? 0.4
Σp(x) = 1
Hence, 0.3 + 0.2 +? + 0.4 = 1
0.9 +? = 1
? = 1 - 0.9
? = 0.1
For the mean :
E(X) = ΣX*P(X)
(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)
0.3 + 0.4 + 0.3 + 1.6 = 2.6
Hence, the mean = 2.6
(2,5)(-1,5)....notice that ur y's are the same number...they are both 5.
This means that u have a horizontal line which has a slope of 0. If the y's are the exact same number, then u have a horizontal line.
if the x's would have been the same number, then u would have had a vertical line with an undefined slope
Step-by-step explanation:
(f+g)(x) means f(x) + g(x).
(f−g)(x) means f(x) − g(x).
So all you have to do is add them and subtract them.
1. (f+g)(x) = f(x) + g(x)
(f+g)(x) = (3x − 7) + (2x − 4)
(f+g)(x) = 5x − 11
2. (f−g)(x) = f(x) − g(x)
(f−g)(x) = (3x − 7) − (2x − 4)
(f−g)(x) = 3x − 7 − 2x + 4
(f−g)(x) = x − 3
3. (f+g)(x) = f(x) + g(x)
(f+g)(x) = (2x + 3) + (x² + ½ x − 7)
(f+g)(x) = x² + 2½ x − 4
4. (f−g)(x) = f(x) − g(x)
(f−g)(x) = (2x + 3) − (x² + ½ x − 7)
(f−g)(x) = 2x + 3 − x² − ½ x + 7
(f−g)(x) = -x² + 1½ x + 10
Answer:
The volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft is:
5889.95 ft³
Step-by-step explanation:
We are given a base diameter of a right circular cylinder as :
d = 17.5 ft.
hence radius of cylinder i.e. r =d/2 = 8.75 ft.
height of the cylinder = 24.5 ft.
now we know that volume of cylinder i.e. V is given by :
V = πr²h
putting the value of r and h in the given formula to obtain the volume
V = 3.14×(8.75)²×24.5
= 5889.95 ft³
hence, the volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft is:
5889.95 ft³
Answer:
d≈22.63
Step-by-step explanation: