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oee [108]
3 years ago
13

www.g A survey of athletes at a high school is conducted, and the following facts are discovered: 19% of the athletes are footba

ll players, 79% are basketball players, and 14% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player
Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

Answer:

84%

Step-by-step explanation:

The probability that the selected player is a football player, P(F)=19%

The probability that the selected player is a basketball player, P(B)=79%

The probability that the selected player play both football and basketball,

P(B \cap F)=14\%

We want to determine the probability that a randomly chosen athlete is either a football player or a basketball player, P(B \cup F)

In probability theory

P(B \cup F)=P(B)+P(F)-P(B \cap F)\\=79\%+19\%-14\%\\=84\%

The probability that a randomly chosen athlete is either a football player or a basketball player is 84%.

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12n^3 + 16n^3 can someone please help me with this?
vodka [1.7K]

Answer:

4n^{3} (3n^{2} + 4)

Step-by-step explanation:

Assuming the problem is asking you to factor out the formula, it can be done easily by finding a common number with the two givens.

4 goes into both 12 and 16 evenly, so we will use this to factor. But that's not all, we have the n-variable to worry about.

Look at the n-variable exponents in the problem, take the highest power that can go be subtracted from both and use that. We have a n^{5} and n^{3}. Since 5 can't go into 3, we must use 3 to factor.

Our factoring variable will therefore be 4n^{3}. Now, use this to simply divide and get the answer:

( 12n^{5} + 16n^{3} ) / 4n^{3}  = 4n^{3}(3n^{2} + 4)

So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.

When dividing the 12 and 4, minus the n^{5} and n^{3} to get n^{2}. Get rid of the n^{3} term for the 16 and leave the 4. And there's your answer!

7 0
3 years ago
Write (-2,5) and (0,8) linear equation in slope intercept form
maxonik [38]

Answer: y= 3/2x+8

Step-by-step explanation:

5 0
3 years ago
The two rectangles shown have equal areas. Find the value of x
Tema [17]

Answer:

x=18

Step-by-step explanation:

We need to find the areas of the rectangles

1st rectangle

A= l*w

A = (2x+4)*9

   = 18x+36



2nd rectangle

A = l*w

   = 15*(3x-30)

    = 45x-450


Since the area of the rectangles are equal, we set these two equations equal

18x+36 = 45x-450

Subtract 18x from each side

18x-18x+36 = 45x-18x-450

36 = 27x-450

Add 450 to each side

36+450 =27x

486 = 27x

Divide by 27 on each side

486/27 = 27x/27

18=x


7 0
3 years ago
SOLVING QUADRATIC EQUATIONS<br> 2) Solve 2x2 - 5 = 27
Nimfa-mama [501]

Answer:

x = ±4

Step-by-step explanation:

Step 1: Write out quadratic

2x² - 5 = 27

Step 2: Add 5 to both sides

2x² = 32

Step 3: Divide both sides by 2

x² = 16

Step 4: Take the square root of both sides

x = ±4

∴ x can equal -4 or 4

7 0
3 years ago
A farmer wants to net at least $10,000/acre on the sale of his 80-acre property. If he allows for a total of 10% for commissions
lara [203]

Answer:

$11,111.11

Step-by-step explanation:

Net Money farmer wanted to get the on selling 1 acre = $10,000

Percentage of commission and closing cost incurred by him = 10%

out of 100 %, he will incur cost of 10%,

rest of them will be with him.

In percentage money he would have be = (100 - 10)% = 90%

Thus, 90 % will be net money he would have.

Let the list price be $x

Given that 90% of this $x will be with farmer which is equal to

90% of x = 90/100 * x = 0.9 x

It is given that he wants to net $10000

so 0.9x = $10,000

=> x =  $10,000/0.9 = $11,111.11.

Listing price per acre should be at least  $11,111.11.

5 0
3 years ago
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