On a bookshelf, there are 8 fiction and 7 nonfiction books. Paul randomly selects one, puts it back, and then randomly selects another. What is the probability that both selections were fiction books?

Answer:

option b is the correct answer

Answer:

Step-by-step explanation:

h = 1

k = p(h) = 4·1² + 24·1 + 13 = 4 + 24 + 13 = 41

Answer:

76 cm^2

Step-by-step explanation:

Volume of the cuboid = Length(l)×breadth(b)×Height (h)

Given that

A cuboid has a volume of 24 cm^3 and its length, breadth, and height are integers only.

prime factor of 24 = [tex]2^3\times3\times1[/tex]

24 = 2×3×2×2×1

24= 12×2×1

or 24= 6×4×1

Now, for Surface area to be maximum we have to take dimensions as

12,2,1

SA = 2(lb+lh+bh)

=2(12×2+12×1+2×1)

= 76 cm^2

Therefore, maximum area of the cuboid with diemensions, 12,2,1 = 76 unit

Answer:

1. 1

2. m<1

3. h=8

4. h>8

Step-by-step explanation:

hope that helps!!:)

Answer:

1. m=1

2. m=0, 1

3. h=8

4. h=11, 17

Step-by-step explanation:

The variables stand for numbers. Replace the variables with any of the given numbers to make the equation or inequality true.

1. 1+5=6, so m=1

2. 0+5=5. 5<6. 1+5=6. 6=6. The symbol ≤ is "less than or equal to", so m=0 or m=1.

3. 5*8=40. h=8.

4. 5*11=55. 55>40. 5*17=85. 85>40. h=55 or h=85.

Answer:

True

True

False

Answer:

The line does not represent a direct variation because it does not go through the origin.

Answer:

75,000

Step-by-step explanation:

15,000x5=75,000

Answer:

540°

Step-by-step explanation:

An equilateral triangle has 3 interior angles of 60°

A square has 4 interior angles of 90°.

When the images are joined, two vertices of each figures are joined together, such that these angles will have now a measure of:

60° + 90° = 150°

Then this figure has:

one angle of 60°

two angles of 150°

and two angles of 90°

(the image below illustrates this situation)

The sum of the interior angles is:

S = 60° + 2*150° + 2*90° = 540°

Answer:

10       10 [tex]\sqrt{2}[/tex]

4        8

16       16[tex]\sqrt{3}[/tex]

[tex]\sqrt{18}[/tex]      [tex]\sqrt{18}[/tex]

11          22

384      192

Step-by-step explanation:

mark me brainliest pls

they are in order

Answer:

Number of people wearing a red t-shirt= 14,500

Step-by-step explanation:

Giving the following information:

Number of people= 50,000

Percentage of people using red t-shirt= 29%

To calculate the number of people wearing a red t-shirt, we need to use the following formula:

Number of people wearing a red t-shirt= number of people*percentage of people wearing a red t-shirt

Number of people wearing a red t-shirt= 50,000*0.29

Number of people wearing a red t-shirt= 14,500

Answer:

x=3.5

Step-by-step explanation:

Answer:

x=sqrt(12) or 2sqrt(3)

Step-by-step explanation:

You can just use pythagorean theorem for this.

We can do 4^2+x^2=8^2

This gives us 16+x^2=64.

Simplify: x^2=48

x=sqrt(48)

Now, we can find x!

We just have to do 6^2+x^2=sqrt(48).

We get 36+x^2=48

simplify: x^2=12

Now, x=sqrt(12) or 2sqrt(3)

Answer:

C. $220

Step-by-step explanation:

11 x 20 = 220

Answer:

6.2300, 6.2030, 6.1031, 6.1000

Step-by-step explanation:

Answer:

6.1, 6.1031, 6.203, 6.23

Answer:

3: C

4: "What are five of your favorite songs?"

Step-by-step explanation:

3: (a) already says how many students participate, (b) already said how many activities there were, & (c) it never talked about the movies

4: You'll be able to figure out the different types of music they enjoy listening to by asking this question.

Answer:

Part 1: A

Part 2: Five favorite songs

Answer:

The greatest common factor is 3.

Step-by-step explanation:

If you decompose 9 you will get 3*3 so 9=3*3

If you decompose 12 you will get 2*6,then you can decompose 6 which 2*3 so 12=2*2*3

If you decompose 6 you will get 2*3 so 6=2*3

What do all of these numbers have in common?The 3.

So 3 is the greatest common factor.Now you just put the 3 in front and then open the bracket and divide each of the number by 3.

9/3=3

-12x/3=4x

6y/3=23

So,this will be your answer 3(3-4x+2y)

Answer:

sin

Step-by-step explanation:

its opposite over hypotenuse

Answer:

it should be sin

hope this work

Answer:

z < 15

Step-by-step explanation:

z + 9 < 24

z + 9 - 9 < 24 - 9

z < 15

Answer:

z < 15

Step-by-step explanation:

To solve for z, you need to isolate it on one side of the equal sign, or in this case, the < sign.

If you subtract 9 from the left side of the equation, z will be alone. But whatever you do to one side you have to do to the other. So subtract 9 from 24 as well and you get z < 15

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

keep the base and add the exponents

Answer:

The expected value is $2.1

Step-by-step explanation:

If we have an event with some given outcomes:

x₁, x₂, ..., xₙ

Such that each one of these outcomes has the correspondent probability:

p₁, p₂, ..., pₙ

The expected value is:

EV = p₁*x₁ + ... + pₙ*xₙ

In this case we have a table with the events (the payouts) and the probability for each one, so we have:

x₁ = $0

p₁ = 0.5

x₂ = $2

p₂ = 0.2

x₃ = $4

p₃ = 0.15

x₄ = $6

p₄ = 0.1

x₅ = $10

p₅ = 0.05

Now we can just replace these in the expected value equation, so we get:

EV = $0*0.5 + $2*0.2 + $4*0.15 + $6*0.1 + $10*0.05 = $2.1

Answer:

(4.6, 4)

Step-by-step explanation:

Given the coordinates (3,2) and (7, 7) partitioned between 3:2

M(X,Y) = [(ax1+bx2/a+b, ay1+by2/a+b)]

X = 3(3)+2(7)/3+2

X = 9+14/5

X = 23/5

X = 4.6

Similarly;

Y = 3(2) + 2(7)/3+2

Y = 6+14/5

Y = 20/5

Y = 4

Hence the required coordinate is (4.6, 4)

Answer:

c. 9ft

Step-by-step explanation:

[tex]x^{2} + 12^{2} = 15^{2}[/tex]

[tex]x^{2}[/tex] + 144 = 225

[tex]x^{2}[/tex] = 81

x = 9

Answer:

120

Step-by-step explanation: