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saul85 [17]
2 years ago
12

Explain how you would find 45 x 7/9 mentally.

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
3 0
You would do 45 divided by 9 which is 5. Then you do 5x7= 35 and that's your answer
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A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 o
olganol [36]

Answer:

The expected value of X is $0.0833.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are 6^2 = 36 desired outcomes.

Desired outcomes:

Sum 5: (1,4), (2,3), (3,2), (4,1).

Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)

Sum of 9: (3,6), (4,5), (5,4), (6,3)

Sum of 10: (4,6), (5,5), (6,4)

Sum of 12: (6,6)

Probabilities:

5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.

4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.

36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.

What is the expected value of X?

Multiplication of each outcome by its probability. So

E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833

The expected value of X is $0.0833.

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3 years ago
Why is the greatest common factor for 8,14
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The GCF of 8 and 14 is 2
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