Answer:
2.25
Step-by-step explanation:
The total frequency is:
20 + 12 + 6 + 2 = 40
Calculate the probability of each score:
P(X=3) = 20/40 = 0.50
P(X=2) = 12/40 = 0.30
P(X=1) = 6/40 = 0.15
P(X=0) = 2/40 = 0.05
So the expected value is:
E = (3)(0.50) + (2)(0.30) + (1)(0.15) + (0)(0.05)
E = 2.25
Answer:
Step-by-step explanation:
vertices are A(-3,3),B(-2,4),C(4,0)
slope of AB=(4-3)/(-2+3)=1/1=1
slope of BC=(0-4)/(4+2)=-4/6=-2/3
slope of CA=(3-0)/(-3-4)=-3/7
two lines are perpendicular if product of slopes=-1
so it is not a right angled triangle .
So for this, this can be written into the equation

(x = number of months, y = total cost).
To solve this problem, we need to plug in 1325 into the y-variable and solve from there.

Subtract 35 on each side to get

Then just divide by 50 on each side, and your answer should be

And because we cannot go past budget, we will have to round down to 25.
In context, the maximum amount of months Abbey can do is 25 months.