Mathematics High School

There are
150
150150 students in an eleventh grade high school class. There are
45
4545 students in the soccer team and
35
3535 students in the basketball team. Out of these students, there are
20
2020 who play on both teams.
Let
A
AA be the event that a randomly selected student in the class plays soccer and
B
BB be the event that the student plays basketball. Based on this information, answer the following questions.
What is
P
(
A
)
P(A)P, left parenthesis, A, right parenthesis, the probability that the student plays soccer?

What is
P
(
B
)
P(B)P, left parenthesis, B, right parenthesis, the probability that the student plays basketball?

What is
P
(
A
and
B
)
P(A and B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, the probability that the student plays soccer and basketball?

What is
P
(
A
|
B
)
P(A | B)P, left parenthesis, A, start text, space, vertical bar, space, end text, B, right parenthesis, the conditional probability that the student plays soccer given that he or she plays basketball?

Answers

Answer 1

Answer:

P(a)=0.3

P(b)=0.23

P(a&b)=0.13

P(a|b)=0.57

Step-by-step explanation:

Girl can I say this was very hard to read try better next time

By using a venn diagram we can figure out that out of the 150, 45 play soccer, 35 play basketball, 20 play both, 25 play exclusively soccer and 15 play exclusively basketball and 60 students in total play either

Let A be the probability of a student playing soccer and B be the probability of a student playing basketball

P(A)= 45/150

P(B)=35/150

P(A&B)=20/150

P(A|B)= 20/35

Related Questions

Evaluate the exponential expression using the order of operations.



(6+3)4

Answers

Answer:

36.

Step-by-step explanation:

6 plus 3 is 9 and 9 times 4 is 36, hope this helps.

8 increased by the sum of t and 3

Answers

8 + (3 + t) is the answer

Answer:

8+(t+3)

Step-by-step explanation:

the sum is when you add two numbers together. so you would add t with 3 and out it in parentheses so you make sure that happens first. then you add it to 8 since 8 is being increased by the sum.

Which expression is equivalent to 6x6 + 12x + 5 ?

A.(2x+1)(3x+5)
B.(2x+5)(3x-1)
C.(2x-1)(3x-5
D.(2x-5)(3x-1)​

Answers

Answer:

Step-by-step explanation:

None of these are correct. Is the equation 6x^6+12x+5 correct?

The price of orange juice is believed to increase by 14% over the next year. If a gallon of orange juice costs $3.00 now, what will the price be in a year, after the increase?
$

Answers

$3.42

Take the original price and multiply by 1.14

Explanation: 1.14 comes from the whole (1) of the orange juice at the time plus the percent (14% ---> .14).

What is the greatest common factor of 48 and 84?

O 6

O 9

O 12

O 14​

Answers

Answer:

12

Step-by-step explanation:

14 doesn't go into both 48 and 84. 12 is the next highest and it goes into both of them.

The answer is 12 hope this helps

1. How are polynomials added and subtracted?
2. Write the expression 81^2-80^2 using a difference of squares pattern. What is the solution?
3. What is the common denominator of (ab)/c + (xy)/z?

Answers

Answer:

3: cz

Step-by-step explanation:

Answer:

1.) Polynomials are added or subtracted by changing the signs (when needed) and adding/subtracting like terms

2.)161

3.)cz

Step-by-step explanation:

2.) 81^2-80^2

  (81+80)(81-80)

    161x1

      161

3.)ab/c + xy/z = abxy/cz thus, the common denominator is cz

Hope this helps, hope your call goes well :)

Will give brainliest if I can.

Answers

Answer:

x=5

y=-5

Step-by-step explanation:

X=5
Y=-5
Step By Step

Henry can run 12 laps in 30 minutes. How long will it take him to run 16 laps.

Answers

Answer:

40 minutes

Step-by-step explanation:

30 minutes ÷ 12 laps = 2.5 minutes per lap

2.5 minutes per lap * 16 laps = 40 minutes

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST

Answers

Answer:

y = -1/4x - 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from the graph.

Point (-4, -5)

y-intercept (0, -6)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-6+5}{0+4}[/tex]Add:                              [tex]m=\frac{-1}{4}[/tex]

Step 3: Write linear function

y = -1/4x - 6

What is this equation in slope-intercept form, 5х – бу = -15?

Answers

Answer:

y = 5/6x + 5/2

Step-by-step explanation:

A

B

C

Neither of them

Answers

None of them are correct.

The best bagel company bakes 1,872.they put a bakers dozen ,or 13 bagels, into each bag. How many bags do they fill

Answers

Answer:

144

Step-by-step explanation:

1872 divided into bags with 13 each is

1872/13= 144 bags to fill

please answer correctly
will mark brainlest 1hour to complete

Answers

Answer:

its (0, 0) because the line goes through thex and y intercept

Answer:

2, 0.15

Step-by-step explanation:

PLEASE HELP DUE IN 5 MINS

​

Answers

Answer:

it might be 2,-2

Step-by-step explanation:

a car travels 15 miles in 15 minutes how many miles does it travel in 2 hours ​

Answers

Answer:

120 miles in 2 hour

Step-by-step explanation:

One hour has 4 times 15 minutes, so you need to do 15 miles x 4 and that time 2 because its 2 hours.

Best Buy is having a sale and all of their iPad’s are 20% off. The regular price for an iPad is $450.

Part I:
How much money will you save buying the iPad on sale?


Part II:
What is the final cost of the iPad when it is on sale?

Answers

part 1. is 90 dollars
part 2. is 360 dollars
Part 1: You save 360 dollars 450 x .20 equals 90 450-90=360 dollars
Part 2: 90 dollars is the amount you pay

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is not a 4? (Your answer must be in the form of a reduced fraction.)

Answers

Answer:

12/13

Step-by-step explanation:

A standard deck of cards has four suites

Total number of cards = 52

Total number of cards which are 4 is = 4

The probability that the card selected is 4 = 4/52 = 1/13

S,  the probability that the selected card is not a 4 = 1 - (1/13 )= 12/13

lauren wants to build a model airplane using a scale where 2 inches represents 15 feet. if the airplane is 75 feet long how many inches long should the model be?

Answers

Answer:

Its 10

Step-by-step explanation:

1)50% of 60 2) 8 out of 80 is what percent?

Answers

Answer:)

1) 50% of 60 is 30

2) 8 out of 80 is 10%

You're welcome :)

Answer:1. 30

2. 10%

Step-by-step explanation:

5 into 3 by 8 + 3 into 2 by 5​

Answers

Answer:

30

5 X 3 ÷ 8 + 3 X 2/5

= 15/11 X 2/5

(Take LCM of 5 and 11. LCM - 55)

15 X 5. 75

_____ =. ___

11 X 5. 55

2 X 11. 22

_____ =. ___

5 X 11 55

75 X 25. 1650

______ = ______

55. 55

= 30

Question in picture solve

Answers

Answer:

Domain: -2, 0, 3, 5

Range: 5, 4, 6, -7

Step-by-step explanation:

The domain is all the values of x and the range is all the values of y.

2.
Turkey for sandwiches costs $7.75 per pound. What equation best represents
y, the total cost of x pounds of turkey?
a. X = 7.75 + y
b. X = 7.75y
C. Y = 7.75 + x
d. Y = 7.75x

Answers

Answer:
d
Explanation:
Y=7.75x
1pound-$7.75x1
Xpound-$7.75xX

Please help ASAP!
Given f(x)=x² – 9x + 20 and g(x)= x -5, find (f/g)(x)
a. X-5
b. x +4
c. -2x - 4
d. x-4

Answers

It’s b if not d if I’m wrong

Mr Chin bought 3.8 kg of candy, nearest to
100g. What is the least amount of candy in the
bag to nearest kilogram.

Answers

To do this you need to find the lower bound
The lower bound is the minimum amount that would round up to the estimated value

3.8kg, measured to the nearest 100g
The degree of accuracy is to the nearest 100g
100/2 = 50g (0.05kg)

Lower bound 3.8 - 0.05 = 3.75kg

Therefore the least amount of candy you could have in the bag is 3.75kg

Given: 4d=1/3(c-d) Proof= c=13d

Answers

Proof:

Multiply both of the sides by 3. You would get 12d = c - d. Add d on both sides, and you would get c = 12d

Here, we are required to proof c = 13d from 4d=1/3(c-d)

Ultimately, c = 13d (proof)

We have;

4d=1/3(c-d)

Cross product

4d × 3 = c - d

therefore, By collecting like terms;

C = 12d +d

and Ultimately, c = 13d ......

Read more:

https://brainly.com/question/21406377

-3y + 12 = -8x


anyone know how to do this. I need it in y=mx+b and Ax+By=C
slope intercept form and standard form​

Answers

Change -3y + 12 = -8x to the form y = mx + b

Subtract 12 on both sides

-3y = -8x - 12

Divide by -3 on both sides

y = 8/3 + 4


Change original equation to Ax + By = C

-3y + 12 = -8x

Switch -8x and 12

-3y + 8x = -12




(ps, I haven’t done this kind of math in a long time )

0.5 in simplest form

Answers

Answer:

all e

3 works hope it helped

Solve for x: 2x – y = (3/4)x + 6.

(a) (y + 6)/5,

(b) 4(y + 6)/5,

(c) (y + 6),

(d) 4(y - 6)/5.

Answers

Answer:

its b

Step-by-step explanation:

2x -y = (3x+24)/4

8x - 4y= 3x + 24

5x=4y+24

5x=4(y+6)

x=4(y+6)/5

At the same time a 15-foot pole casts a 7.5-foot shadow; a nearby tree casts a 24-foot
shadow. How tall is the tree?

Answers

Answer:

12-foot shadow

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

A pound of chocolate costs 8 dollars. Lamar buys p pounds. Write an equation to represent the total cost ċ that Lamar
pays.

Answers

Answer:

8p=c

Step-by-step explanation:

The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c

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