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r-ruslan [8.4K]
3 years ago
5

A baseball team has won 8 out of the first 20 games and has 40 games remaining. The team needs a winning percentage of 62.5% mak

e the playoffs. How many more wins does the team need in order to get into the playoffs? If the team wins the number of games to get into the playoffs, what is the final win percentage if the team wins 2 and loses 3 games in the playoff?
Mathematics
1 answer:
dimaraw [331]3 years ago
8 0

Answer:

30 More Games for Playoffs | Win Percentage of 40% in Playoffs

Step-by-step explanation:

We find the total amount of games by adding first 20 and 40 remaining

This will leave us with 60 games

In order to calculate the playoff, we would have to calculate 62.50% in those 60 games.

62.50% is 5/8, we divide 60 by 8 and get 7.50

We multiply both sides by 7.50 and get 37.50/60

We subtract 8 from 37.50 and get 29.50

We round it to the nearest ones and get 30

In order to win the game they would need to win 30 more games

To calculate the final win percentage, we would add 2 and 3, which would give us 5.

After winning 2 and losing 3,

it would give us 2/5,

which in percentage is 40%

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Answer:

• David

,

• 4 miles

Explanation:

In the graph:

The given locations are:

• Owen's House, A(11,3)

,

• David's House, B(15,13)

,

• School, C(3,18)

We determine both Owen's and David's distance from the school using the distance formula.

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Owen's distance from school (AC)

\begin{gathered} AC=\sqrt[]{(3-11)^2+(18-3)^2} \\ =\sqrt[]{(-8)^2+(15)^2} \\ =\sqrt[]{64+225} \\ =\sqrt[]{289} \\ AC=17\text{ miles} \end{gathered}

David's distance from school (BC)

\begin{gathered} BC=\sqrt[]{(3-15)^2+(18-13)^2} \\ =\sqrt[]{(-12)^2+(5)^2} \\ =\sqrt[]{144+25} \\ =\sqrt[]{169} \\ BC=13\text{ miles} \end{gathered}

We see from the calculations that David lives closer to the school, and by 4 miles.

The graph below is attached for further understanding:

5 0
1 year ago
3, 12, 48, 192, 768, . . .
Sav [38]
The answer would be the sequence has a common ratio of 4.
The explanation for this would be:
To get the common ratio for get the simplest form of the two numbers, so 12/3 = 4 and 48/12 = 4So we know that their common ratio is 4.
To check:
3 x 4 = 12
12 x 4 = 48
48 x 4 = 192
192 x 4 = 768
7 0
3 years ago
Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cyl
IrinaVladis [17]

Answer: option A

Step-by-step explanation:

The volume of a cylinder can be calculated with the formula:

V=\pi r^2h

Where r is the radius and h is the height of the cylinder.

The radius is diameter divided by 2, then:

r=\frac{18ft}{2}\\\\r=9ft

Substitute the radius into the formula. Then you get the following equation that can be used to find V, the volume of the cylinder:

V=\pi (9)^2h

3 0
3 years ago
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he books in a private library are classified as fiction and nonfiction. There are 400 books in the library. There are 40 more fi
vfiekz [6]
First, you have to set a system of equations to determine the number of fiction and of nonfiction books.Call f the number of fiction books and n the number of nonfiction books. Then 400 = f + n. And f = n + 40 => n = f - 40 => 400 = f + f - 40 => 400 - 40 = 2f => f = 360 / 2 = 180. Now to find the probability of picking two fiction books, take into account the the Audrey will pick from 180 fiction books out of 400, and Ryan will pick from 179 fiction books out of 399, so the probability will be<span> (180/ 400) * (179/399) = 0.20 (rounded to two decimals). Answer: 0.20</span>
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3 years ago
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Answer:

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