The expected value of the winnings from the game is $4
<h3>How to determine the expected value?</h3>
The payout probability distribution is given as:
Payout ($) 2 4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
The expected value is then calculated as:
This gives
E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05
Evaluate the expression
E(x) = 4
Hence, the expected value of the winnings from the game is $4
Read more about expected values at:
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Step-by-step explanation:
When the slope of the function is positive, it is increasing
when the slope of the function is negative, it is decreasing
just like with the line function y = mx + b
so if you put a line tangent to the function at every point the slope of the line will indicate a increasing or decreasing point of the function
also beware where the slope is zero it is not increasing or decreasing
there are two intervals of increasing, one interval of decreasing and two point of zero slope or neither increasing or decreasing
increasing interval 1) x < -2 2) x > 1.5
decreasing interval 1) -2 < x < 1.5
at -2 and 1.5 the slope is zero
You are given h(t) = 64–16t^2.
You need to find h(1.25).
Set up:
h(1.25) = 64 - 16(1.25)^2
Take it from here.
Answer:
D. greater than 8 cm and less than 70 cm
Step-by-step explanation:
Given:
Length of one side = 39 cm
Length of other side = 31 cm
We need to find the length of third side.
Solution:
to find the length of third side we will use triangle Inequality property which states that;
"The length of the third side should be less than sum of the other two side."
Also;
"The length of the third side should be greater than difference of the other two sides."
Now Sum of 2 sides of triangle = 39 + 31 =70 cm
Also Difference of 2 side of triangle = 39 -31 = 8 cm
Hence The length of the third side should be greater than 8 cm and less than 70 cm.
