If x=7, then 2x * x=

PLEASE HELP TEST DUE IN 10 MINUTES WILL GIVE BRAINLIEST AND GOOD REVIW!

Eva8 [605]

Answer:

y=3/2(x)+4

Step-by-step explanation:

Because line AB is perpendicular to line BC, the slope of AB is equal to 3/2. Substituting (-2,1) into the new equation gives us "1=3/2(-2)+b" which simplifies to 1=-3+b. This means that b=4.

6 0

3 years 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

Which property is 5+ a = a + 5 ?

zheka24 [161]

Answer:

$commutative \: property \: of \: addition \\ thank \: you$

6 0

2 years ago

WILL MARK BRAINLIEST TO THE PERSON WITH THE BEST ANSWER!!! PLEASE ANSWER ALL QUESTIONS AND PLEASE SHOW FULL SOLUTIONS! PLEASE MA

goblinko [34]

Hey there!

Here is a graph of the points:

A scatterplot is a graph, but the points won't be able to connect in a straight line, and they have no relation.

A line of best fit is a line that goes evenly through the points, or as best as it could.

6 0

3 years ago

Which of the following demonstrates how the 20 is calculated using the<br> combination pattern?

ZanzabumX [31]

Answer:

D

Step-by-step explanation:

The diagram shows Pascal's triangle. Pascal's triangle is a triangular array of the binomial coefficients.

The entry in the $n^{th}$ row (start counting rows from 0) and $k^{th}$ column (start counting columns from 0) of Pascal's triangle is denoted by

$C^n_k=\left(\begin{array}{c}n\\ k\end{array}\right)$

Coefficient 20 stands in 6th row, then n = 6 and in 3rd column, so k = 3.

Hence,

$20=C^6_3=\left(\begin{array}{c}6\\ 3\end{array}\right)=\dfrac{6!}{3!(6-3)!}$

4 0

3 years ago