# Spinner Warm-up - PowerPoint PPT Presentation

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Spinner Warm-up. \$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?

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Spinner Warm-up

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Spinner Warm-up

\$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

## More Warm up.

= 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.

## Benchmark Question #1

c

• g(x) = xb) g(x) = x2

• c) g(x) = IxId) g(x) = x3

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

Which of the following statements is true?

## Benchmark Question #2

• 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

## Benchmark Question #4

d

GPS ALGEBRA

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

Classwork

Workbook (pages 375-376)