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
Ilya [14]
3 years ago
8

What is the simplified form of the following expression 2 sqrt 27 + sqrt 12 -3 sqrt 3-2 sqrt 12

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

Answer:

√3

Step-by-step explanation:

2√27 + √12 − 3√3 − 2√12

2√27 − √12 − 3√3

2√(9×3) − √(4×3) − 3√3

2×3√3 − 2√3 − 3√3

6√3 − 2√3 − 3√3

√3

You might be interested in
Find the L.C.M of 6,9​
Oxana [17]

Answer:

Lcm=18

Step-by-step explanation:

First do prime factorization of 6 and 9

common factor of 6 is 3

and remaining factor is 2×3

Now,

C.F×R.F= 3×2×3

=18

6 0
2 years ago
The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure
Ilia_Sergeevich [38]

Answer:

a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Step-by-step explanation:

For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?

The foreclosure rate is 1.31% for the Washington, DC area, which means that p = 0.0131

We wanto to find, with n = 100:

P(X < 2) = P(X = 0) + P(X = 1)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675

P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551

P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226

0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?

Foreclosure rate of 0.87% for the nation, which means that p = 0.0087. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174

P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663

P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837

0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c. Comment on the above findings.

The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

7 0
3 years ago
Evaluate 5+ (-11) - (-11)
SOVA2 [1]

Answer:

5

Step-by-step explanation:

To solve a problem with negatives, we use the following rule.

If it is like

x+(-y), it is equivalent to x-y

If the equation is like

(-x)-(-y), it is equivalent to (-x)+y

So,

5+(-11)=5-11=-6

(-6)-(-11)=(-6)+11=5

Your answer is 5.

7 0
3 years ago
How do you solve the problem for this equation? 3+5x=3
Mazyrski [523]

Answer:

x=0

Step-by-step explanation:

3+5(0)=3

4 0
3 years ago
Read 2 more answers
Find the perimeter of the larger polygon if the two polygons are similar.
Lilit [14]

Answer:

130.5

Step-by-step explanation:

similar shapes have proportional sides so divide 18/27 to get the proportion then multiply each side of the smaller polygon by the proportion to get the sides for the larger polygon and add the larger polygons sides together.

8 0
3 years ago
Other questions:
  • If x=2 and y=5, how would you work out 2y to the power of 2?
    14·2 answers
  • Round 961 to one significant figure
    6·1 answer
  • What is the base of a triangle whose height is 10 and whose area is 160
    11·1 answer
  • Suppose that demand, D, for a particular product is given by the function D = 100 - 2p, where p is the price in dollars of the p
    12·1 answer
  • A specialty muffin company makes muffins for $0.12 per muffin. The starting cost of the company is $300. How many muffins must t
    7·2 answers
  • 10000010101111111+100010001000100100100101​
    5·2 answers
  • Which of the following is a fifth degree binomial?
    13·1 answer
  • Pls help ill give brainly ​
    14·1 answer
  • HELP QUICK PLSSSSSS Distribute 8(4+x)
    10·2 answers
  • Insert a digit in each place "..." to make numbers that are divisible by 6
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!