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2 years ago

If m ABC = 122°, and m then m

Mathematics

1 answer:

ANTONII [103]2 years ago

6 0

Answer:

m < DBC = 51

Step-by-step explanation:

Looking at the picture, we know <ABD and <DBC make up <ABC. Knowing this, we can set up an equation like so, plug in the known values, and solve to find m<DBC:

$m$

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2 years ago

Maria earned $126 in simple interest from her savings account. If she invested $450 for 7 years, what was the interest rate?

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2 years ago

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2 years ago

Read 2 more answers

Suppose a basketball player has made 217 out of 302 free throws. If the player makes the next 3 free throws, I will pay you $23.

Anna [14]

Answer:

-$0.90

Step-by-step explanation:

There are only two possible outcomes, winning $23 (W) or losing $15 (L). Therefore:

$P(W) + P(L) = 1$

The probability of the player making his next 3 free throws (P(W)) is:

$P(W) = \frac{217}{302}*\frac{217}{302}*\frac{217}{302}\\P(W) = 0.37098$

The probability of the player NOT making his next 3 free throws (P(L)) is:

$P(L) = 1 - P(W) = 1 - 0.37098\\P(L) = 0.62902$

Expected value (EV) is given by the payoff of each outcome multiplied by its probability:

$EV = (23*0.37098) -(15*0.62902)\\EV = -\$0.90$

The expected value of the proposition is -$0.90

6 0

2 years ago