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solmaris [256]
2 years ago
11

M∠1 = 65°, what is m∠2?

Mathematics
1 answer:
Nookie1986 [14]2 years ago
8 0

Answer:

m∠2=65

Step-by-step explanation:

They are corresponding angels which means they are congruent.

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The first, third, and fourth choices are functions. A relation is a function when x does not repeat. For the second choice, -4 repeats. Therefore, it is not a function. The other choices do not repeat an x-coordinate, so they are correct.

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the function g(t) = 2t represents the number of guitar lessons, g(t), you can complete in t months. how many guitar lessons can
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3 years ago
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8 0
3 years ago
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Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a
aev [14]

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = \frac{12}{52}

Probability of getting a other card = \frac{40}{52}

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)(\frac{12}{52}) + (3)(\frac{40}{52})

                                  = \frac{192}{52} + \frac{120}{52}

                                  = \frac{312}{52}

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

4 0
2 years ago
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