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## PowerPoint Slideshow about ' Spinner Warm-up ' - callum

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### More Warm up.

### Benchmark Question #1

### Benchmark Question #2

### Benchmark Question #3

$100

$100

90°

90°

60°

60°

60°

$200

$400

$300

- If you spin once, what is the probability of getting each dollar amount (fractions)?
- 2) If you spin twice, what is the probability of getting $100 and then $200?
- 3) If you spin twice, what is the probability of getting a sum of $600?

1/2, 1/6, 1/6, 1/6

1/12

1/12

= 2.35

Use your calculator to find the decimal answer. Round to the nearest hundred

= 0.13

Use the table of values to determine the function represented.

c

- g(x) = x b) g(x) = x2
- c) g(x) = IxI d) g(x) = x3

In Triangle ABC, AC=6, AB=7, and BC=5. represented.

Which of the following statements is true?

- The measure of angle C is the least of the three angles.
- The measure of angle C is the greatest of the three angles
- The measure of angle B is the greatest of the three angles
- The measure of angle B is the least of the three angles

b

Based on the graph of the following function, what is the greatest rate of decrease for the function?

- -4
- -10/3
- -7/2
- -5/3

c

UNIT QUESTION: How do you use probability to make plans and predict for the future?

Standard: MM1D1-3

Today’s Question:

When do you find the expected value of an experiment?

Standard: MM1D2.d.

Expected Value

- A collection of outcomes is partitioned into n events, no two of which have any outcomes in common. The probabilities of the n events occurring are p1, p2, p3,..., pn where p1 + p2 + p3 + pn = 1. The values of the n events are x1, x2, x3,..., xn.
- E = p1x1 + p2x2 + p3x3 + ... + pnxn

Example 1

- Find the expected value.

E = 1(.20) + 2(.30) + 3(.10) + 4(.40) = 2.7

If I do this experiment 10 times, what total value would you expect to get?

Example 2

- You take an exam that has 4 possible answers for each question. You gain 3 points for each correct answer, lose 1 point for each incorrect answer, and do not gain or lose points for blank answers. If you guess on a question, what is the expected value for the number of points you receive?

E = (3)(1/4) + (-1)(3/4) = 0

Example 3

- At a raffle, 2500 tickets are sold at $5 each for 3 prizes of $1000, $500, and $100. You buy one ticket. What is the expected value of your winnings?

E = 995(1/2500) + 495(1/2500) + 95(1/2500) + (-5)(2497/2500)

= $ –4.36

Workbook (pages 375-376)

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