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.
The sum of the angles of a triangle is 180°. So you can do:
91° + (8x + 3)° + (10x - 4)° = 180° To find x, you need to isolate/get the variable "x" by itself in the equation. First combine like terms (terms that have the same variable and power/exponent]
91 + 3 - 4 + 8x + 10x = 180 (I rearranged for the like terms to be next to each other)
90 + 18x = 180 Subtract 90 on both sides
18x = 90 Divide 18 on both sides to get "x" by itself
x = 5
PROOF
91° + (8x + 3)° + (10x - 4)° = 180° Plug in 5 for "x"
91° + (8(5) + 3)° + (10(5) - 4)° = 180°
91° + (40 + 3)° + (50 - 4)° = 180°
91° + 43° + 46° = 180°
180° = 180°
Answer: D. 3/2
Step-by-step explanation:
30s-18 is the answer jus add all the sides together/ add the like terms then solve it
Use the distributive formula
a(b - c) = ab - ac
