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mr_godi [17]
3 years ago
8

There are four defenders on a soccer team. If this represents 20 percent of the players on the team, which equation can be used

to find the total number of players on the team?

Mathematics
2 answers:
Mumz [18]3 years ago
7 0

Answer:

D

Step-by-step explanation:

With that equation, you can find the total number of soccer players because it's out of 100

Hope this helps!

Mnenie [13.5K]3 years ago
6 0

Answer:

the one you selected is correct

Step-by-step explanation:

What times 20 gets you to 100. 5 so divide 5 from top and bottom to get $ over 20. 4 is 20% of 20

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Find the equation of a circle whose endpoints of the diameter are (15, - 3) and (7,3). The equation of the circle is (Simplify y
Nana76 [90]

Answer:

(x - 11)² + y² = 25

Step-by-step explanation:

First find the center

O = ( (15 +7 / 2), (-3 + 3)/2 )

O = (11, 0)

Then find the radius squared

use the distance formula from the center to either end point of the diameter

r² = (15 - 11)² + (-3 - 0)²

r² = 16 + 9

r² = 25

Formula for circle

(x - h)² + (y - k)² = r²

(h, k) is the center = (11, 0)

The equation is

(x - 11)² + y² = 25

8 0
3 years ago
If Anita has read 55 of the 245 pages in her book, what percent of the book has she read?
givi [52]

Answer:

22.45%

To two decimal places

Step-by-step explanation:

A book has 245 pages and she has only read 55 of the pages. To get the percentage:

55/245 and then multiply it by 100.

55/245

=O.2245 (To four decimal places)

0.2245 x 100

22.45% (To two decimal places)

She has only read 22.45% of the book. To convert it to a whole number, that's 22% of the book has been read

3 0
3 years ago
A stack of cards consists of seven red and four blue cards. A second stack of cards consists of eleven red cards. A stack is sel
Ann [662]

Answer:

0.1733 = 17.33% probability the first stack was selected.

Step-by-step explanation:

To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

Conditional probability:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

Probability of all red cards for the first stack:

For this, we use the hypergeometric distribution, as the cards all chosen without replacement.

7 + 4 = 11 cards, which means that N = 11.

7 red, which means that k = 7

3 are chosen, which means that n = 3

We want all red, so we find P(X = 3).

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 3) = h(3,11,3,7) = \frac{C_{7,3}*C_{4,0}}{C_{11,3}} = 0.2121

Conditional probability:

Event A: All red

Event B: From the first stack.

Probability of all red cards:

0.2121 of 50%(first stack)

1 of 50%(second stack). So

P(A) = 0.2121*0.5 + 1*0.5 = 0.60605

Probability of all red cards and from the first stack:

0.21 of 0.5. So

P(A \cap B) = 0.21*0.5 = 0.105

What is the probability the first stack was selected?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.105}{0.60605} = 0.1733

0.1733 = 17.33% probability the first stack was selected.

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3 years ago
Can someone help me with this geometry problem please ?
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Answer:

<2, <3, <6, <7

Step-by-step explanation:

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Answer:

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