The length of the rectangle is 7 and the width is 3.
Answer:
The value of E [Z] is 0.50.
Step-by-step explanation:
The expected value is computed using the formula:

Denote the three dices as follows:
X₁ = a four-sided die
X₂ = a six-sided die
X₃ = a 12-sided die
Define the indicator variables as follows:

The probability of rolling a 4 in the three dices are as follows:

Compute the value of E [Z] as follows:


Thus, the value of E [Z] is 0.50.
Answer:
Step-by-step explanation:
Find the slope = -2/1
Find the y-intercept = 5
Go to graph
put a dot at (0,5)
since it's a negative slope you will go up 2 and left 1
draw your line
_________________________________________________
Find the slope = 3/1
Find the y-intercept = 0
go to graph
Put a dot at (0,0)
Since it is a positive slope you will go down 3 and left 1.
To find the slope and y-intercept use this formula=
y=mx+b
m=slope
b=y-intercept
I'm sorry I don't know how to do a check equation for these.
Answer:
6k+234
Step-by-Step Explanation:
Add 9, 3, 212, 3, and 7. You get 234. You can't change 6k because the variable, so you end up with 6k+234.
A. Factor 28 + 7g 7(g <span>+ 4)
add
28 </span><span>+ 7g
= 7 (g </span>+ 4)
B. (12r + 15) – 65 Remove parentheses
12r+15-65
= 12r - 50
C. 24 – (8p – 12)
24 - (8p - 12) = -8p + 36
24 - (8p - 12) -(8p - 12) 8p + 12
= 24-8p+12
Simplify 24-8p+12
Group like terms
-8p+12+24
Add the numbers 12+24=36
Answer is -8p+36