answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeTakaya
1 year ago
10

Wendy is arranging books on the bookshelves in the school library. The total number of books she arranges is given by the equati

on b = 12r, where b is the total number of books and r is the number of rows. Each row contains the same number of books.
If Wendy arranged 16 rows, she arranged a total of
books.
Mathematics
2 answers:
horrorfan [7]1 year ago
7 0
You would do 16x12 which is 192

Basile [38]1 year ago
6 0
Given:
b = 12r 
where:
b =  represents the total number of books
12 = number of books per row
r = number of rows

If Wendy arranged 16 rows, she arranged a total of ___ books.

b = 12r
b = 12(16)
b = 192 total number of books arranged.
You might be interested in
A number k is less than 3 units from 10. <br> What's the absolute value inequality???
Brrunno [24]

It would be: k+3 = 10

subtracting 3 from both sides,

k+3-3 = 10-3

k=7

6 0
2 years ago
A random sample of 50 units is drawn from a production process every half hour. the true fraction of nonconforming products manu
Naya [18.7K]

solution:

The probability mass function for binomial distribution is,

 

Where,

X=0,1,2,3,…..; q=1-p

find the probability that (p∧ ≤ 0.06) , substitute the values of sample units (n) , and the probability of nonconformities (p) in the probability mass function of binomial distribution.

Consider x   to be the number of non-conformities. It follows a binomial distribution with n   being 50 and p  being 0.03. That is,

binomial (50,0.02)

Also, the estimate of the true probability is,

p∧  = x/50

The probability mass function for binomial distribution is,

 

Where,

X=0,1,2,3,…..; q=1-p

The calculation is obtained as

P(p^ ≤ 0.06) = p(x/20 ≤ 0.06)

         = 50cx ₓ (0.03)x ₓ (1-0.03)50-x  

=    (50c0 ₓ (0.03)0 ₓ (1-0.03)50-0 + 50c1(0.03)1 ₓ (1-0.03)50-1 + 50c2 ₓ (0.03)2 ₓ (1-0.03)50-2 +50c3 ₓ      (0.03)3 ₓ (1- 0.03)50-3 )

=(   ₓ (0.03)0 ₓ (1-0.03)50-0 +  ₓ (0.03)1 ₓ (1-0.03)50-1 +   ₓ (0.03)2 ₓ (1-0.03)50-2   ₓ (0.03)3 ₓ (1-0.03)50-3 )



5 0
2 years ago
HURRY!
kirza4 [7]
Answer: $2.26
10% of $52.50 is 5.25. Then, $52.50-$5.25 is $47.25. $49.99-$47.25 is $2.26
4 0
2 years ago
ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
GalinKa [24]

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of \frac{1}{2} to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = \frac{1}{2} of the sides of ΔABC

Area of ΔA'B'C' = \frac{1}{2}(\text{Area of triangle ABC})

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

3 0
2 years ago
If a(x) = 3x + 1 and b (x) = StartRoot x minus 4 EndRoot, what is the domain of (b circle a) (x)?
kiruha [24]

Answer:

[1,\infty)

Step-by-step explanation:

b(x)=\sqrt{x-4}

a(x)=3x+1

Since we want to know the domain of (b \circ a)(x), let's first consider the domain of the inside function, that is, that of a(x)=3x+1. Every polynomial function has domain all real numbers.

So we can plug anything for function a and get a number back.

Now the other function is going to be worrisome because it has a square root. You cannot take square root of negative numbers if you are only considering real numbers which that is the case with most texts.

Let's find (b \circ a)(x) and simplify now.

(b \circ a)(x)

b(a(x))

b(3x+1)

\sqrt{(3x+1)-4}

\sqrt{3x+1-4}

\sqrt{3x-3}

Now again we can only square root positive or zero numbers so we want 3x-3 \ge 0.

Let's solve this to find the domain of (b \circ a)(x).

3x-3 \ge 0

Add 3 on both sides:

3x \ge 3

Divide both sides by 3:

x \ge 1

So we want x to be a number greater than or equal to 1.

The option that says this is [1,\infty)

-------------------------------

Give an example why option A fails:

A number in the given set is -2.

a(x)=3x+1

b(x)=\sqrt{x-4}

So a(-2)=3(-2)+1=-6+1=-5 and b(-5)=\sqrt{-5-4}=\sqrt{-9} \text{ which is not real}.

Give an example why option B fails:

A number in the given set is 0.

a(x)=3x+1

b(x)=\sqrt{x-4}

So a(0)=3(0)+1=0+1=1 and b(1)=\sqrt{1-4}=\sqrt{-3} \text{ which is not real}.

Give an example why option D fails:

While all the numbers in set D work, there are more numbers outside that range of numbers that also work.

A number not in the given set that works is 3.

a(x)=3x+1

b(x)=\sqrt{x-4}

So a(3)=3(3)+1=9+1=10 and b(1)=\sqrt{10-4}=\sqrt{6} \text{ which is real}.

4 0
2 years ago
Read 2 more answers
Other questions:
  • describe why it might not be good idea to use a,key where each symbols stands for 1 in a picture graph
    11·1 answer
  • Explain what you can tell just by comparing the symbols in a picture graph
    10·2 answers
  • A Mallard duck flies 5 6 of a mile in 1 60 of a hour. Compute the unit rate by setting up a complex fraction and simplifying.
    9·2 answers
  • Add −1 3/10 + 2/5 using the number line.
    9·2 answers
  • Consider the line segment below that is five feet long. Is Q the midpoint of PR? Justify your answer.
    10·1 answer
  • An investment firm offers three types of equity investments,
    15·2 answers
  • Triangle PQR with vertices P(3, −6), Q(6, −9), and R(−15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which
    11·1 answer
  • From an industrial area 70 companies were selected at random and 45 of them were panning for expansion next year. Find 95% confi
    13·1 answer
  • A restaurant manager collected data on the number of customers in a party in the restaurant and the time elapsed until the party
    13·1 answer
  • The trifecta at most racetracks consists of selecting the​ first-, second-, and​ third-place finishers in a particular race in t
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!