g A survey of athletes at a high school is conducted, and the following facts are discovered: 41% of the athletes are football players, 52% are basketball players, and 35% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player

Answers

Answer 1

Answer:

0.58 = 58% probability that the athlete is either a football player or a basketball player

Step-by-step explanation:

We solve this question treating the probabilities as Venn's sets.

I am going to say that:

Event A: Athlete is a football player.

Event B: Athlete is a basketball player.

41% of the athletes are football players:

This means that [tex]P(A) = 0.41[/tex]

52% are basketball players

This means that [tex]P(B) = 0.52[/tex]

35% of the athletes play both football and basketball.

This means that [tex]P(A \cap B) = 0.35[/tex]

What is the probability that the athlete is either a football player or a basketball player

This is [tex]P(A \cup B)[/tex], which is given by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]. So

[tex]P(A \cup B) = 0.41 + 0.52 - 0.35 = 0.58[/tex]

0.58 = 58% probability that the athlete is either a football player or a basketball player


Related Questions

8 The cost of a laptop increased by 25% between
2015 and 2019
In 2019. the laptop cost £1000
How much did the laptop cost in 2015?

Answers

Given:

The cost of a laptop increased by 25% between 2015 and 2019.

In 2019, the laptop cost £1000.

To find:

The cost of the laptop in 2015.

Solution:

Let x be the cost of the laptop in 2015.

The cost of a laptop increased by 25% between 2015 and 2019. So, the cost of the laptop in 2019 is

Cost of laptop in 2019 = [tex]x+\dfrac{25}{100}x[/tex]

                                     = [tex]x+0.25x[/tex]

                                     = [tex]1.25x[/tex]

In 2019, the laptop cost £1000.

[tex]1.25x=1000[/tex]

[tex]x=\dfrac{1000}{1.25}[/tex]

[tex]x=800[/tex]

Therefore, the cost of the laptop in 2015 is £800.

which best illustrates the distinction between statistical significance and practical importance ​

Answers

Answer:

are there options? if so can you add them?

Step-by-step explanation:

Pet plus sells 12 cans of dog food for $9.60 . What is the price per can?

Answers

Answer and Step-by-step explanation:

To find the amount of dollars per can of dog food, we divide the price by the amount of cans bought.

9.6 divided by 12 equals 0.8.

$0.8 is the answer.

Apollo Cinemas opened at 10 a.m. In the first hour they sold tickets to 240 people. In the second hour 25% more people purchased admission tickets than in the first hour. Each admission ticket cost $12.50. What was the total amount of money paid for all the tickets in the first two hours?

Answers

Answer:

$312.50

Step-by-step explanation:

240 + 25% = 300

300 + 12.50 =

312.50

solve for x pls .............................................................................

Answers

There is no solution
Hope this helps :)

Answer:

x=28.928571 AKA the answer is 28

An angle measures 12°. Find its complement. Do not include units in your answer.

Answers

Answer:

78

Step-by-step explanation:

complements = 90

x + 12 = 90

-12. -12

× = 78

If two angles are complementary,

then the sum of their measures is 90 degrees.

If two numbers add to 90, we can represent those numbers as x and 90 - x.

So we will call one of our angles x and its complement as 90 - x.

So we have 90 - 12 which is 78.

So the complement of a 12° angle is a 78° angle.

The table shows the number of volleyballs that fit into a given number of containers. Each container holds the same number of balls. Enter the missing value from the table.​

Answers

Answer:  7

Step-by-step explanation:

It's a 1 : 3 ratio so the answer should be 7

absolute value |27 1/4|

Answers

Answer:

421/33

Step-by-step explanation:

A car weighs 4,000 pounds wich comparison is true
A.4,000 pounds < 2 tons
B. 4,000 pounds > 2 tons
C. 4,000 pounds < 8,000 ounces
D. 4,000 pounds = 2 tons​

Answers

Answer:

D

Step-by-step explanation:

2000=1 ton so 4000=2tons

Answer:

D 4000 pounds=2 tons

Step-by-step explanation:

2 tons is equal to 2000 pounds so 2 tons equal to 4000 pounds.

A test has total of 80 marks to pass you need at least 45 percent how many marks do you need to pass? ​

Answers

Answer:

36

Step-by-step explanation:

45\100×80=36

What is 1.24×10−6 in ordinary notation?

Answers

Answer:

24×10-6

First you multiply 24 and 10 which the answer is 240.

= 240-6

Then subtract 6 from 240

and your is...

=234

I used BODMAS which stands for

B - Brackets first

O - Operation second

D - Division third

M - Multiplication fourth

A - Addition fifth

S - Subtraction lastly

That's why we call it BODMAS...

Can you help me please

Answers

Answer:

its 2nd one

Step-by-step explanation:

B is the answer !!!!!!!!!

pls help quick Graph the inequality on a number line

Answers

Answer:

Your welcome

Step-by-step explanation:

Which is the product of
7
9
and 6?

A.
1
4
9
B.
3
7
9
C.
4
2
3
D.
7
5
7

Answers

Answer:

4 2/3

Step-by-step explanation:

i took the test

Can someone show me the step by step to this question?

Answers

It’s has to add to 180 degrees so just

180-134=46 degrees

What is the missing number?38/152 19/?
A.76
B.78
C.86
D.304
plz plz plz plz hury

Answers

Answer:

76

Step-by-step explanation:

Hope this helps

Answer:

A

Step-by-step explanation:

Help tell me how Pi is found

Answers

Answer:

The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi. Leaving them with a infinte number 3.14159... and so on.

Step-by-step explanation:

Answer:

How was Pi discovered?

Here's a brief history of finding π. The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. One Babylonian tablet (ca. 1900–1680 BC) indicates a value of 3.125 for π, which is a closer approximation.

How is PI value calculated?

In some ways Pi (π) is a really straightforward number – calculating Pi simply involves taking any circle and dividing its circumference by its diameter. In fact if you search long enough within the digits of Pi (π) you can find any number, including your birthday.

Step-by-step explanation:

50 points to whoever can answer!​

Answers

Answer:

D

Step-by-step explanation:

I think I'm not sure about that

A store pays $365.84 for a fountain. The store marks up the price by 10%.
What is the amount of the mark-up?
Round your answer to the nearest cent: $

Answers

Answer:

The store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.

Step-by-step explanation:

Given that a store pays $ 365.84 for a fountain, and then the store marks up the price by 10%, to determine the amount of the mark-up the following calculation must be performed:

365.84 x 10/100 = X

3,658.4 / 100 = X

36,584 = X

36.584 + 365.84 = 402.424

Thus, the store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.

To prepare for school you need 3 notebooks for $1.09 each, 2 boxes of pencils for $2.68 each and a pack of markers for $0.89. How much will this cost?

ASAP ill give brainliest

Answers

Answer:

$9.52

Step-by-step explanation:

1.09 x 3 = 3.27

2.68 x 2 = 5.36

3.27+5.36+.89=9.52

the area of this triangle ?

Answers

Answer:

8 cm

Step-by-step explanation:

Use pythagorean theorem to find the height (a and b are equal):

[tex]a^2+b^2=16\sqrt{2}^2\\a^2+a^2=16\sqrt{2}^2\\2a^2=16\sqrt{2}^2\\2a^2=16(2)\\a^2=16\\a=\sqrt{16}\\a=4[/tex]

Area is half of the base times height. Base and height are equal for this triangle.

[tex]\frac{1}{2}(4)(4)\\\frac{1}{2}(16)\\8[/tex]

Find the sum of 1/3x+5 and 8+2/5x.

Answers

Answer:

11/15x+ 13

Step-by-step explanation:

find the common denominator 15 x

6x-6y=23 find y when x=8

Answers

Answer:

y= 4.166

If rounded to the nearest tenth

y = 4.2

Step-by-step explanation:

6x - 6y = 23

x = 8

6x - 6y = 23  (Sub in the x with 8)

6(8) - 6y = 23

48 - 6y = 23  (Subtract each side by 48)

-6y = 23 - 48

-6y = -25 (Divide each side by -6)

y = 4.166

If rounded to the nearest tenth

y = 4.2

on zeba's birthday,her uncle gift her two new dolls. in how many ways can zeba arrange all her dolls on 6 shelves, placing one doll on each shelf?if she has 4 dolls before
(a) 720
(b) 30
(c) 360
(d) 6​

Answers

Answer:

6 is the correct answer

Step-by-step explanation:

Hope it is helpful...

Find the area of this parallelogram.
13 cm
15cm
A
20cm

Answers

Answer:

A = 260 cm^2

Step-by-step explanation:

[tex]a = b \times h \\ a = 20 \times 13 \\ a = 260 \: {cm}^{2} [/tex]

The original price of the Kindle is $269.99.

If the Kindle was 15% off, what is the discounted price of the Kindle?

Answers

It is now 229.46 dollars

Answer:

229.4915

Step-by-step explanation:

you first find 15% of $269.99 which is 15/100 * 269.99

which is 40.4915

and since you are finding the discounted price

you subtract 40.4915 from 269.99

= 269.99-40.4915

=229.4915

dont forget to put the unit ($)

=$229.4915

Suma a 5 numere consecutive pare egale cu diferenta numerelor 397 si 327. Care sunt numerele?
Va rog repede dau coroana.Cu intrebari si metoda figurativa clasa a ||| a

Answers

Answer:

Step-by-step explanation:

n+(n+1)+(n+2)+(n+3)+(n+4) = 397-327

5n+10 = 70

n = 12

numerele consecutive sunt 12, 13, 14, 15, 16

identify the slope in -4x+3y=26​

Answers

-4 is the slope in the equation
The slope would be 4/3
Since u would have to get y by it self
3y=4x+26
And divide everything by 3
And u would get y=4/3x+26/3

If three independent events happen one after the other, which of the following sample space tools cannot be used?
a list
a tree diagram
a table

Answers

If three independent events happen one after the other, a list of the sample space tools cannot be used.

correct option: A list

What is an independent events?

If the likelihood of the occurrence of one event has no bearing on the likelihood of the other, then the two occurrences are independent. The likelihood that both events A and B will occur is defined mathematically as being equal to the product of the probabilities of A and B. This is how independent occurrences A and B are expressed mathematically.

Thus, if three independent events happen one after the other, a list of the sample space tools cannot be used.

correct option: A list

To know more about independent events refer to:

https://brainly.com/question/27665211

#SPJ1

Suppose Nancy has 15 sorts of colors black, red, and of wschure black and were
What is the probability
randomly selected stw be blue

Answers

Answer:

Hi there here is the answer!

Step-by-step explanation:

Out of the 3 main chioces there is a total of 15!

so, it would be a probability of 5/15. or 1/3 / 1:3

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