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
Mekhanik [1.2K]
3 years ago
12

Factoring 12m^2n^2-8mn+1=

Mathematics
2 answers:
34kurt3 years ago
7 0
First \ write\ as \ 4\ terms:\\\\ -8mn=-6mn-2mn \\\\12m^2n^2-8mn+1=12m^2n^2-6mn-2mn+1=\\6mn(2mn-1)-1(2mn+1)=(6mn-1)(2mn-1)
alisha [4.7K]3 years ago
3 0
12m^2n^2-8mn+1=12m^2n^2-2mn-6mn+1=\\\\=2mn\cdot6mn-2mn\cdot1-1\cdot6mn-1\cdot1=\\\\=2mn(6mn-1)-1(6mn-1)=(6mn-1)(2mn-1)
You might be interested in
Pls help with age problem.
kozerog [31]

Answer:

John is 19 and his sister is 23.

Step-by-step explanation:

See attached image.

3 0
1 year ago
Given a population with a mean of muμequals=100100 and a variance of sigma squaredσ2equals=3636​, the central limit theorem appl
lakkis [162]

Answer:

a) \bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)

\mu_{\bar X}=100 \sigma^2_{\bar X}=1

b) P(\bar X >101)=1-P(\bar X

c) P(\bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:  

X \sim N(\mu=100,\sigma=6)  

And let \bar X represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:  

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})  

a. What are the mean and variance of the sampling distribution for the sample​ means?

\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)

\mu_{\bar X}=100 \sigma^2_{\bar X}=1.2^2=1.44

b. What is the probability that x overbarxgreater than>101

First we can to find the z score for the value of 101. And in order to do this we need to apply the formula for the z score given by:  

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

If we apply this formula to our probability we got this:  

z=\frac{101-100}{\frac{6}{\sqrt{25}}}=0.833  

And we want to find this probability:

P(\bar X >101)=1-P(\bar X

On this last step we use the complement rule.  

c. What is the probability that x bar 98less than

First we can to find the z score for the value of 98.

z=\frac{98-100}{\frac{6}{\sqrt{25}}}=-1.67  

And we want to find this probability:

P(\bar X

5 0
3 years ago
what is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 3 units? square root of 18 units
AfilCa [17]

Answer:

Option 1 is correct that is square root of 18.

Step-by-step explanation:

We will use pythagoras theroem to find the length of hypotenuse

c^2=a^2+b^2

Here, c is hypotenuse,a is one leg and b is the other leg.

Here, a=b=3

On substituting the values in the formula we get:

c^2=3^2+3^2=18

c=\sqrt{18}

Hence, Option 1 is correct that is square root of 18.

8 0
2 years ago
Read 2 more answers
Olivia and her children went into a grocery store where they sell peaches for $2 each and mangos for $1 each. Olivia has $15 to
attashe74 [19]

Answer:

if x represents the number of peaches purchased and y represents the number of mangos purchased

Step-by-step explanation:

4 0
2 years ago
If 2 + 2^2 + 2^3 +...+ 2^n = 510 then n = ?
jonny [76]

Answer:

N= 8

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • You are using a new paint gun to paint the walls in your bedroom. The gun uses sphere shaped balls filled with paint
    7·1 answer
  • What is 0.002 one tenth of.
    5·1 answer
  • What is the monthly payment for a $20,230 loan at 11.5 percent for 20 years?
    5·1 answer
  • 5/3v = 125/7<br> PLEASE HELP
    12·1 answer
  • How do you verify factoring is correct?
    6·1 answer
  • I need help on this question I need to see if I’m doing it the right way I think it’s *14+b=80
    14·1 answer
  • Fine the missing angle.. x=??
    7·2 answers
  • Find the surface area of the cone. Round your answer to the nearest tenth..
    14·1 answer
  • A baker has 88 muffins. he fills large boxes the hold 9 muffins he puts the leftovers in small box how many muffins are in the s
    13·1 answer
  • What is the interior angle measure of a polygon with 33 sides
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!