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? - PowerPoint PPT PresentationTRANSCRIPT
1/2, 1/6, 1/6, 1/61) 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?
1/12
$100 $100
$200$300
$40060°
60°60°
90° 90°
1/12
More Warm up.Use your calculator to find the decimal answer. Round to the nearest hundred
26 45 2
52 52
4 2 3.05 .10 .25
9 9 9
= 2.35
= 0.13
Benchmark Question #1
Use the table of values to determine the function represented.
c
a)g(x) = x b) g(x) = x2
c) g(x) = IxI d) g(x) = x3
Benchmark Question #2
a) The measure of angle C is the least of the three angles.
b) The measure of angle C is the greatest of the three angles
c) The measure of angle B is the greatest of the three angles
d) The measure of angle B is the least of the three angles
b
In Triangle ABC, AC=6, AB=7, and BC=5.Which of the following statements is true?
Benchmark Question #3
a) -4
b) -10/3
c) -7/2
d) -5/3
c
Based on the graph of the following function, what is the greatest rate of decrease for the function?
Benchmark Question #4
a)
b)
c)
d)
d
Add the following.
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 P(E)
1 .20
2 .30
3 .10
4 .40
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
Gain,x $995 $495 $95 -$5
Prob, p 1/2500 1/2500 1/2500 2497/
2500
ClassworkWorkbook (pages 375-376)