Answer:
- 1800 ; 4284.8579 ;
Step-by-step explanation:
Given the table :
Outcome _____ probability
-12000 ________ 0.15
__ 0 __________ 0.85
Expected loss, m: Σx*p(x)
(-12000 * 0.15) + (0 * 0.85)
-1800 + 0 = - 1800
Standard deviation = sqrt(Var(x))
Var(x) = Σx²*p(x) - m²
(-12000^2 * 0.15) + (0^2 * 0.85)] - 1800^2
21,600,000 - 3240000
= 18360000
Standard deviation = sqrt(18360000)
Standard deviation = 4284.8579
Answer:
4x(squared)-36
Step-by-step explanation:
=(2x+−6)(2x+6)
=(2x)(2x)+(2x)(6)+(−6)(2x)+(−6)(6)
=4x^2+12x−12x−36
=4x^2 −36
Answer:
x<20
Step-by-step explanation:
x-10<10
add 10 to both sides
x<20
X can therefore be anything less than 20.
Answer:
12
Step-by-step explanation:
Length of one of the boards = 8 feet
Converting to inches

One cut is 16 inches
So, we divide the length of the board by 16

So, one board is cut into 6 pieces.
The other board is also 8 feet long.
So, the number of pieces the other board is cut into is also 6.
Hence, a total of
pieces of each 16 inches long can be cut from the two boards.