!!!!!HELP!!!!!
150 students in a tenth grade high school class take a survey about which video game consoles they own. 60
students answer that one of their consoles is a Playstation, 50 answer that one of their consoles is an Xbox. Out
of these, there are 20 who have both systems.
Let A be the event that a randomly selected student in the class has a Playstation and B be the event that the
student has an XBOX. Based on this information, answer the following questions.
What is P(A), the probability that a randomly selected student has a Playstation?
What is P(B), the probability that a randomly selected student has an XBOX?
What is PA and B), the probability that a randomly selected student has a Playstation and an XBOX?
What is P(A B), the conditional probability that a randomly selected student has a Playstation given that he
or she has an XBOX?

is P(A B)=P(A)? Are the events A and B independent?

We have been given an equation [tex]w=\frac{3}{2}t-1[/tex] that represents umber of walls, w, that Joe can paint in t hours. We are asked to find the number of hours it will take Joe yo paint 7 walls.

To solve our given problem, we will substitute [tex]w=7[/tex] in our given equation as:

[tex]7=\frac{3}{2}t-1[/tex]

Let us solve for t.

[tex]7+1=\frac{3}{2}t-1+1[/tex]

[tex]8=\frac{3}{2}t[/tex]

[tex]8\cdot\frac{2}{3}=\frac{2}{3}\cdot\frac{3}{2}t[/tex]

[tex]\frac{8\cdot2}{3}=t[/tex]

[tex]\frac{16}{3}=t[/tex]

Therefore, it will take [tex]\frac{16}{3}[/tex] hours Joe to paint 7 walls.

Answer: -4p³ - 3p² - 17p

Step-by-step explanation:

I hope this helps!

Answer:6,051

Step-by-step explanation:1+2+3+2,014+2,015+2,016

Answer:

1016065

Step-by-step explanation:

Answer:

Friday

Step-by-step explanation:

Just count on your fingers to get Friday

Answer:

Friday

Step-by-step explanation:

think then you will get it

please give me brainly  

Answer:

[tex]\frac{1}{15}[/tex] of a gallon.

Step-by-step explanation:

It's just:

[tex]\frac{1}{3} *\frac{1}{5} =\frac{1}{15}[/tex]

So [tex]\frac{1}{15}[/tex] of a gallon on each sundae.

The chocolate sauce on each sundae is B) 1/15.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

Volume of chocolate sauce = 1/3 gallon

Number of chocolate sundaes = 5

So, chocolate sauce is on each sundae = Volume of chocolate sauce / Number of chocolate sundaes

⇒ chocolate sauce is on each sundae = (1/3)/5 gallon

⇒ chocolate sauce is on each sundae = 1/15 gallon

Thus, the chocolate sauce on each sundae is B) 1/15.

To learn more about Division :

brainly.com/question/28032495

#SPJ2

Answer: The answer is (-6,-2)

Answer:

A

Step-by-step explanation:

Answer: It’s 26 or D.

Step-by-step explanation: I got it right on Edge Quiz.

Answer:

2 whole cups and 1 4th of a cup

Step-by-step explanation:

Answer:

87°, 68°, and 25°

Step-by-step explanation:

All the angles in a triangle will equal to 180° so with knowing this you can create the equation...

(7x-11)° + (2x-3)° + (5x-2)° = 180°

(14x-16)° = 180°

14x = 180° + 16°

14x = 196°

x = 14°

Knowing x you can substitute this value into each angle.

7(14)-11 = 87°

5(14)-2 = 68°

2(14)-3 = 25°

To confirm that these are the right answers you can add all these angles to see if they equal to 180°.

87° + 68° + 25° = 180°

Answer:

7x -11  = 87 degree

5x-2  = 68 degree

2x-3 = 25 degree

When you turn this triangle into a parallelogram, we remember the opposite angles add up to 180 so we label top or bottom corner angle label it x/2 in this diagram as 7x is higher we label this one x/2 instead to make a parallelogram make sense to the triangles, being the ratio angles of each 4 corners.

We then know that that triangle within other angles at the bottom are smaller as they share another angle where top missing quadrilateral angle shares the left bottom supplementary angles as 2 opposite ends on a parallelogram add up to 180 degree.

We do the sums and call x 14 start with the top angle first

7x -11 = 7(14) -11 = 98-11 = 87 degree

5x-2 = 5(14)-2 = 68 degree

2x-3 = 2 (14) -3 = 25 degree

If you do this again for different measures and find the bottom angle is higher then you just redo your workings as bottom first is higher and find why with x.

To show your ways of reasoning that all x = 14 etc.

x= 14

Step-by-step explanation:

Answer:

-40

Step-by-step explanation:

Answer:

C=-40

Step-by-step explanation:

C/8+25=20

C/8=-5

C=-40

Final answer:

Kyle drank a total of 39/35 liter of water during the first half of the game.

Explanation:

To find the amount of water Kyle drank during the first half of the game, we need to calculate the difference between the initial amount of water and the amount left at the end of the second quarter.

Let's assume Kyle's bottle initially held 1 liter of water.

At the end of the first quarter, he drank 5/7 of the bottle or (5/7) * 1 = 5/7 liter of water.

After the coach filled up his bottle during the second quarter, the bottle was full again.

At the end of the second quarter, he drank some more water and left only 2/5 of water in the bottle, which is (2/5) * 1 = 2/5 liter of water.

Therefore, Kyle drank a total of 5/7 + 2/5 = 25/35 + 14/35 = 39/35 liter of water during the first half of the game.

Answer:

There are 5 adults and 15 children in the family.

Step-by-step explanation:

Given

Number of people in the family = 20

Cost of adults tickets = $8

Cost of children tickets = $4

Total ticket sold = $100

Required

How many adults and children are in the family.

Let C represent children and A represent adults.

If there are 20 members of the family, then.

A + C = 20

Also, if adult tickets is sold for $8 and children tickets is sold for $4 and the total cost of tickets were $100, then we have

8A + 4C = 100.

Now, we have two equations to be solved simultaneously.

A + C = 20 --- (1)

8A + 4C = 100 ---- (2)

Make C the subject of formula in (1)

C = 20 - A.

Substituton 20 - A for C in (2)

8A + 4(20 - A) = 100

8A + 80 - 4A = 100

Collect like terms

8A - 4A = 100 - 80

4A = 20

Multiply both sides by ¼

¼ * 4A = ¼ * 20

A = 5

Recall that C = 20 - A

So,

C ,= 20 - 5

C = 15.

Hence, there are 5 adults and 15 children in the family.

The Question was solved by getting an expression to represent the amount of tickets that were sold and another expression for the total number of people in the family.

The two expressions gave us a simultaneous equation and the equations were solved simultaneously.

We are asked to find 7 is what percent to 30.

We will use proportions to solve our given problem.      

Let us assume that 7 is n% of 30. So we can set a proportion as:

[tex]\frac{n}{100}=\frac{7}{30}[/tex]

Let us solve for n.

[tex]\frac{n}{100}\cdot 100=\frac{7}{30}\cdot 100[/tex]

[tex]n=\frac{7}{3}\cdot 10[/tex]

[tex]n=\frac{70}{3}[/tex]

[tex]n=23.333[/tex]

Therefore, 7 is [tex]23.333\%[/tex] of 30.

Answer:

The answer is A

with fractions divide the smaller number over the larger number

1/4 = 1 divided by 4

or

think of the scenario of 4 quarters

1 quarter = 25 cents out of 100 cents

so

1/4 = 0.25

Answer:

C. y = 5x

find the slope

(5-0)/(1-0)

5/1 = 5

then look at the y line

the point 0 is on line y

which has no value so c is the answer

Step-by-step explanation:

Answer:

(x - 3)(x + 8)

Step-by-step explanation:

x² + 5x - 24 =

= x² + 8x - 3x - 24

= x(x + 8) - 3(x + 8)​

= (x - 3)(x + 8)

Answer:

(x + 8)(x - 3)

Step-by-step explanation:

Assuming you require to factor the expression.

Given

x² + 5x - 24

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 5)

The factors are + 8 and - 3, since

8 × - 3 = - 24 and 8 - 3 = + 5, thus

x² + 5x - 24 = (x + 8)(x - 3) ← in factored form

Answer:measure is 24.72°

Step-by-step explanation:U can trust cause i actualy was deticated to solve it XD

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer:

Technically it is 5/12, but as a percentage it would be 41.6666%

Answer:

Randomly selecting the first red marble is a 5/12 chance.

Picking the red marble again would be 1/3 or 4/12 chance

Step-by-step explanation:

Answer:

Your answer would be C

Step-by-step explanation:

Answer:

2: 2,3

3: 4

Step-by-step explanation:

Step-by-step explanation:

I think we can add all arrangements to find the total no of arrangements to prepare

120 + 85 + 46

= 251

Answer:

4x+12 = 4(x+3)

bx-2x = x(b−2)

x^2-6x+9 = (x−3)(x−3)

x^2-4x+4y^2? Don't understand

4a^2-9 = (2a+3)(2a−3)

Step-by-step explanation:

( -3, -2.5, -1, .66, 4, 23 )

( -2.5, -.75, .75, 1, 3 )

( -34, -27, -13, 12, 36, 63 )

Answer:A

Step-by-step explanation: this is aquadratic equation and can be solved by using factorisation.

To use factorisation method we need to look for two numbers that when we muliply them we get +1 and when we add them we get -2

So that is -1 and -1

-1*-1=+1

-1+(-1)=-2

so now we substitube -2x with the two known factors which will give us;

x²-1x-1x+1=0

now we factorise this equation. which will give us;

x(x-1)-1(x-1)=0

now we pick the factors outside the bracket and the factors inside the bracket, which will give us;

(x-1)(x-1)=0

so;

x-1=0 and

x-1 =0

take 1 to the other side, which will give us;

x=1 two timesA

Answer:

6 Pets Cory has

Step-by-step explanation:

Answer:

Cory's family:

3 cats

3 dogs

Step-by-step explanation:

Paula's family-

1 cat

1 dog

Yuri's family:

2 dogs

1 cat

3 lizards

Cory's family:

3 cats

3 dogs

Answer:

7 students

Step-by-step explanation:

I multiplied .25 by 28

.25=25%

of = multiply