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Mademuasel [1]
2 years ago
13

Rearrange the steps to solve for the following equation: 2(x-5)=8

Mathematics
1 answer:
OlgaM077 [116]2 years ago
4 0

Answer:

x=9

Step-by-step explanation:

2(x-5)=8          | Given

(2x-10)=8        | Distribute the 2 inside the parentheses

2x=8+10           | Add 10 to both sides

2x=18                 | Add. <em>Optional; not included in your question.</em>

<em />x=9<em>                    </em>| Divide by 2 on both sides.

<em />

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Baseball's division series is a best of five game series. That is, the first team to win 3 games is the winner. Team A and team
iris [78.8K]

Answer:

1. 27.46% probability that A wins the series in 3 games.

2. There is a 28.84% probability A wins the series in 4 games.

3. There is a 20.18% probability A wins the series in 5 games.

4. There is a 76.48% probability A wins the series.

5. There is a 71.825% probability A wins the series if a "best-of-three" game series is played.

Step-by-step explanation:

For each game, there are these following probabilities:

A 65% probability team A wins.

A 35% probability team B wins.

The combination formula is important to solve this problem:

This is because for example, team A winning games 1,2 and 4 and team B winning game 3 is the same as team A winning games 1,3,4 and team B winning game 2. That is, the order is not important.

C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

1. What the probability that A wins the series in 3 games?

This is team A winning all 3 games. For each game, there is a 65% probability that team A wins. So

P = (0.65)^{3} = 0.2746

There is a 27.46% probability that A wins the series in 3 games.

2. What is the probability A wins the series in 4 games?

This is the team A winning three games and the team B 1. The team B win cannot happen in the fourth game, so the number of possibilities is a combination of 3 by 2. So

C_{3,2} = \frac{3!}{2!1!} = 3

The probability that team A wins the series in 4 games is:

P = 3*(0.65)^{3}*(0.35) = 0.2884

There is a 28.84% probability A wins the series in 4 games.

3.What is the probability A wins the series in 5 games?

This is the team A winning three games and the team B 2. The team B second win cannot happen in the fifth game, so the number of possibilities is a combination of 4 by 2. So

C_{4,2} = \frac{3!}{2!1!} = 6

The probability that team A wins the series in 5 games is:

P = 6*(0.65)^{3}*(0.35)^{2} = 0.2018

There is a 20.18% probability A wins the series in 5 games.

4. What is the probability A wins the series (period)?

They can win the series in 3,4 or 5 games. So this is the sum of the answers for 1,2,3.

So

P = 0.2746 + 0.2884 + 0.2018 = 0.7648

There is a 76.48% probability A wins the series.

5. What is the probability A wins the series if a "best-of-three" game series is played?

These three following outcomes are accepted:

A - A

A - B - A

B - A - A

So

P = (0.65)^{2} + 2*(0.65)^{2}*(0.35) = 0.71825

There is a 71.825% probability A wins the series if a "best-of-three" game series is played.

3 0
3 years ago
16) What is the percent of increase from 15 to 60?
Eduardwww [97]

Answer:

400%

Step-by-step explanation:

3 0
3 years ago
Factor the expression completely.
RSB [31]

 -9.75 + 3.25x

= -3.25(3) + 3.25(x)

= -3.25(3)  -  -3.25(x)     <em>notice they have the same factor of -3.25</em>

= -3.25(3 - x)

Answer: A


3 0
3 years ago
Find the average rate of change, in simplest form,<br> of the function over the interval 3 ≤ x ≤ 5
gavmur [86]
The answer to your question that you’re trying to figure out is [3,5]
3 0
1 year ago
What is the reason for statement 4 in this proof?
Naddika [18.5K]
It's the reflexive property because it's just relating it to itself (def. of reflexive)

As we all know: A=A, B=B, mx=mx, nothing changes.

So the answer is D
5 0
3 years ago
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