1answer.
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
AlladinOne [14]
3 years ago
15

Use the distributive property to write an equivalent expression for 21p+35q​

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

Answer:21p+35q

Step-by-step explanation:

21p+35q

You might be interested in
The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day
Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of  length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(between 236 and 281 days)

P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%

b) a) P(last between 236 and 296)

P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least 1-\dfrac{1}{k^2}  data lies within k standard deviation of mean.

For k = 2

1-\dfrac{1}{(2)^2} = 75\%

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0
3 years ago
Given f(x)=-2x-1, solve for x when f(x)=-7
Svetlanka [38]

Answer:

The answer is -15.

Step-by-step explanation:

1. 2x - 1

2. 2(-7) - 1

3. (-14) - 1

4. -15

By plugging in our x value, we are able to use PEMDAS to  multiply 2 and the value of x and then, we subtract 1 from the value we got from step 3 to get -15.

5 0
3 years ago
In 12 seconds, Valerie counts 6 vehicles passing by her house. At that rate, how many vehicles would pass by in 4 hours
mart [117]
60/12
30 * 4 = 110 cars
5 0
4 years ago
John enlarged one side of his square flower bed by 8 ft to make it into a rectangle. The area of the new flower bed is 3 times t
maks197457 [2]

Answer:

4 ft.

Step-by-step explanation:

We can consider the orignial square's sides to be x, so area of the original figure: x^{2}

The new rectangle's sides will be x and x+8, so the area of the new figure will be x^2+8x.

We know that the new area is 3 times the old one. So our equation will be:

x^2+8x=3x^2

our answer will be x=4.

Therfore, the length of the side of the old flower bed is 4 ft.

4 0
3 years ago
Read 2 more answers
Solve. 6 4/5=5/6x−3 1/2 Enter your answer as a mixed number in simplest form in the box X= ? HELP ASAP!!!!! I WILL GIVE BRAINLIE
maksim [4K]

Answer:

x=12.36 or 12 9/25 or 309/25

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • Lawrence just got a $1,500 bonus and is debating between buying a new computer for $700 and buying a home theater for $1,200. He
    14·2 answers
  • Need help with #17 no clue what it is
    15·1 answer
  • A combination lock requires 4 selections of numbers, each from 1 to 20. • how many different combinations are there? • suppose t
    6·1 answer
  • Three students compared their math scores: Lea correctly answered 35 out of 37 items, Jay scored 97% on the exam, and Roy answer
    7·1 answer
  • How do you know if something is linear
    7·2 answers
  • Provide two examples of a function: (1) as a table of values and (2) as a graph. Explain the definition of a function.
    10·1 answer
  • The sign of the product of -35 and -625 is positive, negative, or zero
    6·1 answer
  • Amy, Rick, and Nisha are investing in three different types of stocks. What type of stock is each person Investing in?
    13·1 answer
  • A scale drawing of Lin's room is 4 inches wide and 5 inches long. What is the area of the actual room in square feet if her wall
    8·1 answer
  • Use the root test to determine the convergence or divergence of the series. (if you need to use or –, enter infinity or –infinit
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!