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Marta_Voda [28]
3 years ago
5

Evaluate 12(20 - 17) - 3•6

Mathematics
1 answer:
Ainat [17]3 years ago
8 0
12(20-17) - 3*6
12 (3) - 18
12*3 - 18
36 - 18
18
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MrRa [10]

Step-by-step explanation:

A sack of marbles contains 9 red, 7 green, and 5 blue marbles. If we pull five marbles without replacement, what is the probability that exactly one is green?

The probability of an event occurring is the ratio of the number of ways it can occur to the total number of events in the sample space.

Let’s pretend for a moment that each of the marbles is labeled with a number in addition to its color, so each is distinct. Note that this doesn’t change the probability of the event in question.

First, how many ways are there for the set of marbles drawn to include exactly one green marble? Well, first we would need to choose 1 of the green marbles from the set of 7 , and then in each of those cases, we would need to choose 4 other marbles from the remaining 9+5=14 . Using binomial coefficients to represent these combinations[1] , this gives us

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Now, how many total possibilities are there? This is just the number of combinations of 5 marbles that can be drawn from a set of 9+7+5=21 . Thus, there are

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With that, we have the probability as

Ways to draw exactly one green marble in a set of fiveWays to draw any five marbles

=(71)(144)(215)

=10012907≈34.43%

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3 years ago
A jewelry store bought a gold necklace and marked it up 110% from the original cost of $23.52. Later on, Dean purchased the gold
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Y = x + 2<br> y = 2x - 5<br> what is x and y
lana66690 [7]

Answer:

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Step-by-step explanation:

solve by using system if equations. multiply top answer by 2, giving u 2y=2x+4 and y=2x-5 subtract the equations. y=9 (the x cancels out) then put 9 in for y. 9=x+2. subtract 2. giving u 7. and now x =7

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2 years ago
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Step-by-step explanation:

3n-7=6n-2n

3n-7=4n

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n=-7

6 0
3 years ago
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Shannon collects rainwater to water her flowers. She has one bucket with 3.4 gallons of water and another with 1.85 gallons less
lukranit [14]

Answer:

3.4-1.85 = 1.55       3.4+1.55=4.95

Step-by-step explanation:

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