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4 years ago

Find the slope of the line that passes through the given points (2,6)and(7,4)

2 answers:

8 0

To find the slope between two given points, divide the change in y over the change in x.
Slope = (y2-y1)/(x2-x1) = (4-6)/(7-2) = (-2)/(5)

You can either leave your slope as (-2/5) or you can solve to find the decimal.

Gnom [1K]4 years ago

4 0

The slope-intercept form for these coordinates is as follows: y= -2/5x+6.8

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An equation is shown below: 3(2x − 7) = 9

Katen [24]

Answer:

1 solution

Step-by-step explanation:

3(2x-7)=9

dustribute: (3)(2)+(3)(-7x)=9

6+-21x=9

subtract 6 from both sides: -21x=3

Divide both sides by -21: x=-1/7

so your 1 solution is x = - 1/7

3 0

2 years ago

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were de

olga2289 [7]

Answer:

Se=1.2

Step-by-step explanation:

The standard error is the standard deviation of a sample population. "It measures the accuracy with which a sample represents a population".

The central limit theorem (CLT) states "that the distribution of sample means approximates a normal distribution, as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population distribution shape"

The sample mean is defined as:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

And the distribution for the sample mean is given by:

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

Let X denotes the random variable that measures the particular characteristic of interest. Let, X1, X2, …, Xn be the values of the random variable for the n units of the sample.

As the sample size is large,(>30) it can be assumed that the distribution is normal. The standard error of the sample mean X bar is given by:

$Se=\frac{\sigma}{\sqrt{n}}$

If we replace the values given we have:

$Se=\frac{12}{\sqrt{100}}=1.2$

So then the distribution for the sample mean $\bar X$ is:

$\bar X \sim N(\mu=80,Se=1.2)$

5 0

3 years ago

A museum curator is hanging 7 paintings in a row for an exhibit. There are 4 Renaissance paintings and 3 Baroque paintings. From

Marina CMI [18]

Answer:

144 ways

Step-by-step explanation:

Number of paintings = 7

Renaissance = 4

Baroque = 3

We are hanging from left to right and we will first hang Renaissance painting before baroque painting.

For Renaissance we have 4! Ways of doing so. 4 x3x2x1 = 24

For baroque we have 3! Ways of doing so. 3x2x1 = 6

We have 4!ways x 3!ways

= (4x3x2x1) * (3x2x1) ways

= 144 ways

Therefore we have 144 ways to hang the painting.

6 0

3 years ago

What is 12 more than 8.2 times a number n

pantera1 [17]

12 more than 8.2 times a number n is the same as “8.2n + 12”.

4 0

3 years ago

How to multiply fractions

Marizza181 [45]

To multiply fractions you multiply the numerator and that becomes the answer to the numerator
And then you do the same for the denominator
Then simplify if you can
Example:
2/5 * 3/6 = 6/30 = 1/5

8 0

3 years ago

Read 2 more answers