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mrs_skeptik [129]
3 years ago
10

Here is a tree diagram showing the sample space for two independent events. How many outcomes are there for the compound event?

Mathematics
1 answer:
insens350 [35]3 years ago
8 0
The answer is 4 and I hope I helped foo
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Factor out the coefficient of the variable 5/6s+2/3
DochEvi [55]
Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?

5/6 ( )

so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have

5/6 ( s )

but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?

5/6 ( s + (2/3) / (5/6) )

now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.

2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15

we can reduce 12/15 by dividing the top and bottom by three.

= 4/5

so our final answer would be:

5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
6 0
3 years ago
What is the 8th term of the binomial expansion (x + y)10?
melisa1 [442]

Answer:

120x^3y^7

We can use the Pascal's triangle to solve this question.

This pascal's triangle is shown in the Image below. To build the triangle, begin with the number 1 at the top, then continue placing numbers below it in a triangular pattern. In this way, each number are the numbers directly above added together. So, the expression is :

(x+y)10

After you do the steps you be left with:

120x^3y^7

4 0
3 years ago
Read 2 more answers
George is studying basic math skills. In order to help George, his teacher asked him to divide 325 chocolates amongst 25 student
Oksi-84 [34.3K]
Should be 13 because 325 divided by 25 is 13!
6 0
3 years ago
If F(x) = x² + 5x and G(x) = 2x + 1, find F(5) + G(6). 48 63 107
Sergio [31]

Answer:

63

Step-by-step explanation:

F(x) = x² + 5x

F(5) = (5)² + 5(5) = 25 + 25 = 50

G(x) = 2x + 1

G(6) = 2(6) + 1 = 12 + 1 = 13

F(5) + G(6) = 50 + 13 = 63

3 0
3 years ago
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Which equation could have been used to create this table?
tatuchka [14]

Answer:

y = 3x

Step-by-step explanation:

7 0
2 years ago
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