MATHEMATICS HIGH SCHOOL

The books in a private library are classified as fiction and nonfiction. There are 400 books in the library. There are 40 more fiction books than nonfiction books. Audrey randomly picks a book. A few minutes later, Ryan randomly picks one of the remaining books. What is the probability that both pick nonfiction books?

Answers

Answer 1
Answer: We must first solve the number of fiction and nonfiction books
if x is the number of fiction books and
y is the number of nonfinction books

Then,
x + y = 400
x = y + 40

Solving the system of equations:
x = 220
y = 180

Therefore, the probability that Audrey and Ryan will get both nonfiction books is
P = 180/400 + 179/399
P = 0.8986
Answer 2
Answer:

Answer: The probability is P =  0.20

Step-by-step explanation:

The data that we have is:

Total books = 400

If the number of non fiction books is Nf and the number of fiction books is F, we have that:

F  = Nf  + 40

So here we have a system of equations:

Nf + F = 400

F = Nf + 40

we can replace the second equation in the first one, and solve it for Nf.

Nf + (Nf + 40) = 400

2*Nf + 40 = 400

2*Nf = 400 - 40 = 360

Nf = 180

So we have 180 non-fiction books.

We want to calculate the probability of picking at random two non-fiction books.

When Audrey picks one, the probabilty is equal to the number of non-fiction books divided the total number of books:

p1 = 180/400

for Ryan we have the same, but the number of books is 399 now (Because Audrey already took one), and the number of non-fiction books is 179.

p2 = 179/399

The probabiliy for both events to happen is:

P = p1*p2 = (180/400)*(179*399) = 0.20

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Devon owns a house cleaning company and has to give price quotes to potential customers. He figures out his price by assuming a $25 base charge and then adding $8 for each bathroom and $4 for each other room. If he uses P to represent the price and B for bathroom and R for other rooms, which of these represents his price quote formula?A P = 25 + 12(BR)
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Answers

The price quote formula for this problem is P = 4R + 8B + 25.

Hence option B is correct.

Use the concept of forming of equation defined as:

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Given that,

Devon owns a house cleaning company.

He calculates his price quotes for potential customers using a specific formula.

The formula includes a $25 base charge.

He adds $8 for each bathroom (B).

He adds $4 for each other room (R).

The objective is to determine which formula represents Devon's price quote calculation.

If R represent the number of rooms

Then cost of R room = 4R

If B represents the number of bathrooms

Then cost for B bathroom = 8B

The base charge is 25

Then the total charge is = 4R + 8B + 25

Hence,

The price quote formula for this problem is P = 4R + 8B + 25 which is option B.

To learn more about equation visit:

brainly.com/question/29174899

#SPJ3
the answer is P=25(4R+8B)

By the congruent supplementary theorem, what can you conclude

Answers

Short Answer Only B is true.
Reasoning
A
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B 
B is correct.

C
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D
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Through (-6, 8); perpendicular to 9x + 5y = 66. Write the equation in y = mx + b form.

Answers

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mary pulls out a bead from a bag containing white, red, and yellow beads. she records the color and places it back into the bag. the table below shows the frequency of each color after 100 beads are pulled out. color of beads white red yellow number of draws 27 35 38 how many white draws can you expect if the beads are pulled out 1,000 times? 270 350 390 926

Answers

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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