Answer:
Expected number of hours before the the group exits the building = E[Number of hours] = 3.2 hours
Step-by-step explanation:
Expected value, E(X) is given as
E(X) = Σ xᵢpᵢ
xᵢ = each variable
pᵢ = probability of each variable
Let X represent the number of hours before exiting the building taking each door. Note that D = Door
D | X | P(X)
1 | 3.0 | 0.2
2 | 3.5 | 0.1
3 | 5.0 | 0.2
4 | 2.5 | 0.5
E(X) = (3×0.2) + (3.5×0.1) + (5×0.2) + (2.5×0.5) = 3.2 hours
Hope this Helps!!!
In case of plane, for y intercept, x and z are o .
So we will get
4(0)+5y-0=20
5y=20
Dividing both sides by 5
y = 4
So the y intercept is (0,4,0).
In second question, x intercept is 1, y intercept is -1 and z intercept is 2 .
So the correct option is the third equation , that is x-y+2z=4 .
Answer:
The average rate of change of the function over the interval is 5.
Step-by-step explanation:
Average rate of change of a function:
The average rate of change of a function f(x) over an interval [a,b] is given by:
Interval -3 less-than-or-equal-to x less-than-or-equal-to 3
This means that 
So
Average rate of change
The average rate of change of the function over the interval is 5.
Answer:
Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten
Step-by-step explanation:
Every economic decision has "a consequence or tradeoff" - this final answer choice is correct. Every time that an individual, business, or institution makes an economic decision, they always forgo an opportunity to use the same capital or resources for other endeavors. As such, there is a tradeoff incurred by not making the decision to use the resource in another manner. This is known as opportunity cost and is one of the fundamental tenets of economic theory.
