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ArbitrLikvidat [17]
3 years ago
14

Label each fifth on the number line. )

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

Step-by-step explanation:

1 for 0/5

2 for 1/5

4 for 2\5

4 for 3\5

4 for 4\5

12 for 5\5

1 for 6\5

1 for 7\5

1 for 8\5

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M is equal to y minus c over x
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Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It c
aksik [14]

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>

In this problem:

  • The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is \frac{1}{6} \times \frac{1}{12} = \frac{1}{72}.
  • The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is \frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}
  • In the other cases, Ayo wins £1.40, with 1 - \frac{18}{72} = \frac{54}{72} probability.

Hence, his expected profit for a single game is:

E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583

For 216 games, the expected value is:

E = 216(0.2583) = 55.8

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at brainly.com/question/24855677

6 0
2 years ago
Determining angle side relationships What are the angle measures in trainable ABC?
9966 [12]

Answer:

m∠A=90°, m∠B=60°, m∠C=30°

Step-by-step explanation:

step 1

Verify if the triangle ABC is a right triangle

Applying the Pythagoras theorem

12^{2}=6^{2}+(6\sqrt{3})^{2}

144=144 ----> is true

therefore

Is a right triangle

m∠A=90°

Find the measure of angle C

sin(C)=AB/BC

substitute

sin(C)=6/12=1/2

so

m∠C=30°

Find the measure of angle B

we know that

m∠C+m∠B=90°------> by complementary angles

so

m∠B=90°-30°=60°

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Answer: income

Step-by-step explanation:

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Here’s the answer to your question.

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