In a small private liberal arts college, 40 percent of the students receive financial aid, and 30 percent of the students that receive financial aid also are first generation college students. In addition, 25 percent of the students in the college own a hybrid car. What is the probability that a randomly selected student receives financial aid and is first generation college student

Answers

Answer 1

Answer:

P(A∩B) = 0.12

Step-by-step explanation:

Given:

Students receive financial aid P(A) = 40% = 0.4

Students receive financial aid and first generation P(B/A) = 30% = 0.3

Find:

Probability [Selected student receives financial aid and is first generation college student] P(A∩B)

Computation:

P(A∩B) = P(A) x P(B/A)

P(A∩B) = 0.4 x 0.3

P(A∩B) = 0.12


Related Questions

Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?

Answers

Answer: Each shelf is 2ft

Step-by-step explanation:

16 = (2 x 4) + 4s

16 = 8 + 4s

8 = 4s (subtract 8 from both sides)

8/4 = 4s/4 (divide both sides by 4)

2 = s

Steve's bedroom measures 12 feet by 13 feet. Ricardo's bedroom measures 8 feet by 14
feet. Assuming that both bedrooms are rectangular, whose room has the greater area?

Answers

Answer: Steve's bedroom has the greater area.

Step-by-step explanation: The formula for area is Area = Length x Width.

So all you have to do to figure this out is multiply the Width of the rooms by the length.

So Steve's room is 12ft X 13ft = 156ft

Ricardo's room is 8ft X 14ft = 112ft

156ft > 112ft

Steve's room has a greater area.

Please help i was crying :(
Also there is another one
“Subtract. Write Your answer in simplest form” which is: 6 3/4 - 2 3/20

Answers

4 and 3 fifths i think 4 3/5

Answer:

is it 4 3/5 it might be

Step-by-step explanation:

1. The temperature was very cold. Then the temperature doubled. Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature? ​

Answers

Answer:

10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

i need these answers!!! will give branliest
5/6 divided by 1/4
1/2 divided by 3/5
15 1/2 divided by 3/4
4 2/7 divided by 1 2/3

Answers

Divide fraction = multiply by the reciprocal.
1. 5/6 * 4/1 = 20/6
2. 1/2 * 5/3 = 5/6
3. 31/2 * 4/3 = 124/6
4. 2/7 * 3/5 = 6/35
(You can simply those if u want)

solve x 3+3(x+2)=-24​

Answers

Answer:

x=-11

Step-by-step explanation:

3+3x=6=-24

3x+9=-24

3x=-33

x=-11

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3 + 3(x + 2) = -24

Step 2: Solve for x

Distribute 3:                    3 + 3x + 6 = -24Combine like terms:       3x + 9 = -24Isolate x term:                 3x = -33Isolate x:                          x = -11

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3 + 3(-11 + 2) = -24Add:                                     3 + 3(-9) = -24Multiply:                               3 - 27 = -24Subtract:                              -24 = -24

Here we see that -24 does indeed equal -24.

∴ x = -11 is the solution to the equation.

Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?

Answers

Answer:

A. $2.89(m)=$40

B. 13 songs

Step-by-step explanation:

$2.89(m)=$40

m=$40/$2.89

m=13.84

She can download a maximum of 13 songs

Check:

$2.89 (13 songs)=$37.57

$40-$37.57=$2.43 left on her gift card

m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43

Answer:

13 songs

Step-by-step explanation:

40 divided by 2.89 is 13.84. DO NOT ROUND TO 14

So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs


Point k lies at (-3,4). Point k is reflected over the y-axis and then translated 7
units down to produce K'. Which rule could have been used to produce K' from K?
K(x, y) +K'(x,y-7)
K(x,y) →K'(-x, y-7)
K(x,y) →K'(x, -y-7)
K(x,y) → K'(-x-7.-y-7)

Answers

Answer:

b

Step-by-step explanation:

Answer:B

Step-by-step explanation:

You earn 90% on a quiz. If you earned 36 points, how many points was the quiz worth?​

Answers

40 questions
Reasoning: 36/40=0.9

Answer:

36/90%=40

Step-by-step explanation:

40 points in total

Can you help me with this question please

Answers

Answer:

34

Step-by-step explanation:

Answer:

34 just subtract

Step-by-step explanation:

evaluate -5 - 15 + 4 + 15

Answers

Answer:

Step-by-step explanation:

-5+-15= -20

4+15= 19

-20+19

-1

Answer:

-1

Step-by-step explanation:

-5 - 15 + 4 + 15

-20 + 19

-1

plzzzzz mark me brainliest

Bob wants to make a profit of $1.25 on each fish. How much should he sell each fish for to make this profit? Show your calculation.

note that each fish costs 2.14

Answers

Bob would have to sell each fish at $3.39 in order to make a profit of $1.25 on each fish sold

What is the selling price per fish?

The selling price per fish can be determined as the sum of the cost price of $2.14 and the profit per fish which is $1.25, in essence, the selling price in this case is the sum of the cost and profit or alternatively, we can model the profit as the selling price minus the cost price as shown below:

profit per fish=selling price-cost price

profit per fish=$1.25

selling price=unknown

cost price=$2.14

By making the selling price the subject of the formula, we can determine the selling price using the formula above

$1.25=selling price-$2.14

selling price=$2.14+$1.25

selling price=$3.39

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Please help me in struggling!!!!!!!!!!!!!

Answers

Answer:

Here’s the answer

Step-by-step explanation:

an angle measures 94°. what is the measure of its supplement?

Answers

Answer:

86

Step-by-step explanation:

180-94

Please help. I will brainliest!!

Answers

Answer:

12. 20 ft

13. 4.5

Step-by-step explanation:

12. (29x29)-(21x21)=400

sq root 400= 20

13. (2x2)+(4x4)= 20

sq root 20= 4.5

What is the value of x in the equation 3/4(1/4x+8) - (1/2x+2)=3/8(4-x)-1/4x

Answers

Answer:

value of x is 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

what is Evaluate 2. to the 2 power

Answers

Answer:

2^2 = 4

Step-by-step explanation:

2*2 = 4

2 to the 2 power is 2^2 = 2 x 2 = 4

d=1/2at^2+s, solve for a

Answers

Step-by-step explanation:

Perhaps the equation is d=1/2at2 and you are given the distance (40 m) and acceleration (9.8 m/s2) and asked to find the time. or convert the equation in terms of t and then plug in the numbers to solve.

Which solution would make this equation have infinitely many solutions?


A.-18
B.-9
C.9
D.18

Answers

Answer: -18

Step-by-step explanation:

it’s would be -9 for sure

The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$ is obtained by subtracting 9 from the largest number $y$. This number $n$ also results by adding 9 to the third number $z$. What is the product of the three numbers?

Just take the $ out

Answers

You're given

x + y + z = 165

7x = n

n = y - 9

n = 9 + z

and you want to find xyz.

Solve the last three equations for x, y, and z :

7x = n   →   x = n/7

n = y - 9   →   y = n + 9

n = 9 + z   →   z = n - 9

Substitute x, y, and z into the first equation and solve for n :

n/7 + (n + 9) + (n - 9) = 165

n/7 + 2n = 165

n + 14n = 1155

15n = 1155

n = 77

Now solve for x, y, and z :

x = 77/7 = 11

y = 77 + 9 = 86

z = 77 - 9 = 68

Then the product is

xyz = 11 • 86 • 68 = 64,328

The product of the three numbers is 8,192,040. The sum of three numbers x, y, z is 165: x + y + z = 165

The problem states:

1. When the smallest number x is multiplied by 7, the result is n: 7x = n

2. The value n is obtained by subtracting 9 from the largest number y: n = y - 9

3. The value n is also obtained by adding 9 to the third number z: n = z + 9

Now, let's proceed to find the values of x, y, z, and n:

From equation (2), we can express x in terms of n:

x = n/7

Now, substitute the value of x in equation (1):

(n/7) + y + z = 165

From equation (3), we can express y in terms of n:

y = n + 9

Now, substitute the value of y in the equation above:

(n/7) + (n + 9) + z = 165

From equation (4), we can express z in terms of n:

z = n - 9

Now, substitute the value of z in the equation above:

(n/7) + (n + 9) + (n - 9) = 165

Combine the terms with n:

3n/7 = 165

To isolate n, multiply both sides by 7/3:

n = 165 * (7/3)

n = 385

Now, we have the value of n, which is 385. To find the values of x, y, and z, substitute n back into the respective equations:

x = n/7 = 385/7

≈ 55

y = n + 9 = 385 + 9

= 394

z = n - 9 = 385 - 9

= 376

Now, we have the values of x, y, z, and n:

x = 55,

y = 394,

z = 376,

n = 385

To find the product of the three numbers, simply multiply them:

Product = x * y * z

= 55 * 394 * 376

≈ 8,192,040

So, the product of the three numbers is 8,192,040.

To know more about three numbers:

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PLEASEEEE HELPP !
A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in cents and the number of bottles ordered. What is the slope of the line that models this situation?

Answers

Answer:

[tex] slope (m) = -5 [/tex]

Step-by-step explanation:

The slope can be calculated using two points, (2, 60) and (4, 50) as shown below:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex], where,

[tex] (2, 60) = (x_1, y_1) [/tex]

[tex] (4, 50) = (x_2, y_2) [/tex]

Plug in the values into the equation

[tex] slope (m) = \frac{50 - 60}{4 - 2} [/tex]

[tex] slope (m) = \frac{-10}{2} [/tex]

[tex] slope (m) = -5 [/tex]

Answer:

x=6

Step-by-step explanation:

A seven-person relay team completed a race in 84.7 seconds. On average, what was each runner's time?

Answers

Answer:

12.1 seconds

Step-by-step explanation:

84.7/7 = 12.1

Answer:

12.1

Step-by-step explanation:

Divide the 84.7 by the # of people on team (7)

HELP PLEASE I NEED HELP ASAP!!

Answers

Answer would be d- FB and DE

Solve the inequality. 2(4x – 3)-3(3x) + + 5x?​

Answers

Answer:

2 (2 x - 3)

Step-by-step explanation:

Simplify the following:

2 (4 x - 3) - 3×3 x + 5 x

-3×3 = -9:

2 (4 x - 3) + -9 x + 5 x

Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):

2 (4 x - 3) + (5 x - 9 x)

5 x - 9 x = -4 x:

2 (4 x - 3) + -4 x

2 (4 x - 3) = 8 x - 6:

8 x - 6 - 4 x

Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:

(8 x - 4 x) - 6

8 x - 4 x = 4 x:

4 x - 6

Factor 2 out of 4 x - 6:

Answer: 2 (2 x - 3)

how much change did she receive?

Answers

Umm I’m not good at showing my work but the answer is -1.21

Which of the following ratios is not equivalent to the rest: *
6 to 8
54 : 72
36 : 56
3 to 4

Answers

Answer:

36:56

Step-by-step explanation:

Answer: C 34:55

Step-by-step explanation:

start with 6:8 that’s the first one multiply by 9 on each side you get 54:72 so that’s the same and then 6:8 divide by 2 and you get 3:4 but for 36:56 you’d have to multiply by 6 and that would give you 36:48 not 36:56

Solve for x. (Simplify)

Answers

Answer:

x = 8.75

Step-by-step explanation:

the ratio of [tex]\frac{4}{7}[/tex] : [tex]\frac{5}{x}[/tex]

x = 8.75

so the answer to
Evaluate the expression for a = 3, b=12 , and c = 4.

8ab over 2bc

is 3?

Answers

Answer:

The answer is C=4. Hope it helps :)

Whoever answers gets brainlist!

Answers

Answer:

21 over 6 (21/6)

26 over 6 (26/6) =47 over 6 (47/6)

your final answer is 7 5/6

Step-by-step explanation:

Step-by-step explanation:

[tex]3 \frac{3}{6} + 4 \frac{2}{6} [/tex]

Which simplifies to:

[tex] \frac{21}{6} + \frac{30}{6} [/tex]

When added is:

[tex] \frac{51}{6} [/tex]

When transformed back into a Mixed Fraction:

[tex]8 \frac{3}{6} [/tex]

What is the first step to solving the division problem below?


Divide 15 into 82 to get 5.
Divide 15 into 82 to get 6.
Multiply 15 by 5 to get 75.
Multiply 15 by 6 to get 80.

Answers

Answer:

divide 15 into 82 to get 5 is the first step

Step-by-step explanation:

Answer:

The answer is A, ¨Divide 15 into 82 to get 5.¨

Step-by-step explanation:

Please make as brainliest! Thanks and i hope it is right!!! Pls say if wrong. Bye

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