Answer:
2)

collect like terms

move the constant to the right hand side and change its sign.

Subtract the numbers

Divide both sides of the equation by 8

Answer:
E(Y) = $0.5
Var(Y) = 14.25
you should pay the same amount $0.5
Step-by-step explanation:
E(Y) = = Σ(YP)
P = probability of each outcomes.
Var(Y) = Σ
p − (μ x μ)
E(Y) = (2 x 0.25) +(6 x 0.25) + (0.5 x (-3)) = $0.5
Var(Y) = (
x 0.25) + (
x 0.25) +(
x 0.5) - (
)
= 14.5 - 0.25
Var(Y) = 14.25
for the difference between the payoff and cost of playing to have mean 0, you should pay the same amount $0.5
Answer:
140672
Step-by-step explanation:
formula for cone volume=pi*r^2*h*1/3
80^2*3.14*21=422016
422016*1/3
=140672
A resposta para esta equação é 7/16.
Answer:

Step-by-step explanation:
1. Approach,
For this problem, the format of a line that will be used is, slope-intercept form;

Where (
) is the slope of the line, also known as the change in the line and
is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.
2. Finding the equation,
In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

Substitute in the slope,

Substitute in the point,

Simplify,

Inverse operations,

3. Putting it all together,
Now, that one has y-intercept, (
); use the given slope and the formula
, substitute in all the information.
