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DIA [1.3K]
3 years ago
12

Solve -3(h-6)=5(2h+3)

Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0

Answer: 3/13


Step-by-step explanation:

-3 (h-6) = 5 (2h + 3)

-3h + 18 = 10h + 15

-3h - 10h + 15 - 18

h (-3-10) = 15 - 18

h (-13) = -3

h = -3/-13

3/13


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2 years ago
A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is
ivann1987 [24]

Answer: 5/14 which is choice B

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

How I got this answer:

Define the following events

A = event of picking a red paper clip on the first selection

B = event of picking a red paper clip on the second drawing

Replacement is not made.

Now onto the probabilities for each

P(A) = 2/5 = 0.4 is given to us as this is simply the probability of picking red on the first try

P(A and B) = probability of both events A and B happeing simultaneously = 1/7

P(B|A) = probability event B occurs, given event A has occured

P(B|A) = probability of selecting red on second selection, given first selection is red (no replacement)

P(B|A) = P(A and B)/P(A)

P(B|A) = (1/7) / (2/5)

P(B|A) = (1/7) * (5/2)

P(B|A) = (1*5)/(7*2)

P(B|A) = 5/14

So if event A happens, then the chances of event B happening is 5/14

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A more concrete example:

If we had 15 paperclips, and 6 of them were red, then

P(A) = (# of red)/(# total) = 6/15 = 2/5

P(B|A) = (# of red left)/(# total left) = (6-1)/(15-1) = 5/14

P(A and B) = P(A)*P(B|A) = (2/5)*(5/14) = 10/70 = 1/7

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3 years ago
Read 2 more answers
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。☆✼★ ━━━━━━━━━━━━━━  ☾

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- Ally ✧  

。☆✼★ ━━━━━━━━━━━━━━  ☾

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dusya [7]
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Answer:

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