4. Calculate the expected value for the spinner at right?
(3pts)
8
1200
24
6

The expected value is 12.44

Step-by-step explanation:

The expected value can be calculated as:

EV = ∑xₙ*pₙ

Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:

x₁ = 8

x₂ = 6

x₃ = 24

And pₙ is the probability of the n-th event.

For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).

First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:

p₁ = 90°/360° = 0.25

For outcome = 24, we have an angle of 120°, then the probability for this event is:

p₃ = (120°/360°) = 0.33

And the angle for the third arc must be such that:

90° + 120° + A = 360°

then:

A = 360° - 90° - 120° = 150°

Then the probability for the outcome = 6 is:

p₂ = (150°/360°) = 0.42

Now we can find the expected value as:

EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|