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rjkz [21]
2 years ago
15

Jenny had 7 dimes and 3 pennies in her She takes a coin out from her pocket, looks at the coin and then replaces it her pocket b

efore she removes a second coin. What is
the probability she will not take out a penny both times?

F. 3/10

G. 9/100

H. 49/100

J. 21/100
Mathematics
1 answer:
alisha [4.7K]2 years ago
4 0
<h3>Answer:     49/100</h3>

=========================================================

Explanation:

There are 7 dimes and 3 pennies, leading to 7+3 = 10 coins total.

The probability of not picking a penny is 7/10. If the first coin is put back, then the probability doesn't change for the second selection.

The probability of getting two dimes is (7/10)*(7/10) = 49/100 when the first coin is replaced.

If the first coin is not replaced, then the answer would be (7/10)*(6/9) = 42/90 = 7/15

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First we need to establish that POQ is a vertical angle to SOT, this makes the angles equal. We also need to establish that because the definition of an altitude, that T And S both form right angles. (An altitude is a perpendicular segment from a vertex of a triangle to the opposite side.) Now let’s take a look at the quadrilateral that is formed inside the triangle, the quadrilateral being RSOT. Luckily we know the measure of three of the angles, R=55, T=90, and S=90. If you didn’t know beforehand all angles of a quadrilateral add up to 360, so we can add up the angles we’ve already found to find the missing angle O/ SOT. When we add the angles, and then subtract that from 360 we get 125, so SOT=125. Remember that we established that SOT and POQ are vertical angles, so if SOT=125 then POQ=125.

I really hoped my explanation was good, this was my first time giving an answer. Also I’m sorry if my method of finding the answer wasn’t helpful, but this was the only way I could think of.

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3 years ago
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