Find the slope of the line that goes through (5,-8) and (-2,2)

balandron [24]

The graph is labeled correctly, so it is just a matter of counting the "blocks."

B) To get from Jeremy's house to the school, we need to go down 7 blocks and then 3 more blocks for a total of 10 blocks.

C) To get from Jeremy's house to the library, we need to go left 5 blocks and then 2 more blocks for a total of 7 blocks.

3 0

3 years ago

Four less than the product of 2 and a number equals 3 as an equation

Mademuasel [1]

Answer:

4-2x=3

Step-by-step explanation:

8 0

3 years ago

Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.

Artyom0805 [142]

Answer:

$P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)$

And we can find this probability on this way:

$P(Z>-0.75)=1-P(Z$

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".

Solution to the problm

Let X the random variable that represent the scores on an exam of a population, and for this case we know the distribution for X is given by:

$X \sim N(75,8)$

Where $\mu=75$ and $\sigma=8$

We are interested on this probability

$P(X>69)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

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

$P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)$

And we can find this probability on this way:

$P(Z>-0.75)=1-P(Z$

4 0

3 years ago

Write an equation of the line that passes through (2,-3) and is perpendicular to the line y=-2x-3

Alina [70]

Answer:

y = 1/2 x - 4

Step-by-step explanation:

slope of perpendicular line is 1/2

y +3 = 1/2 (x -2)

y + 3 = 1/2x - 1

y = 1/2x - 4

3 0

3 years ago

Write a rule for g that represents the indicated transformations of the graph of f.

finlep [7]

The rule of g(x) is g(x) = 2 $(x-4)^{4}$ + 4(x - 4) + 12

Step-by-step explanation:

Let us revise some transformation

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k

∵ f(x) = $x^{4}$ + 2x + 6

∵ The graph of f(x) is stretched vertically by a factor of 2

- That means the y-coordinate of each point on the graph is multiplied

by 2, then y = 2.f(x) as the 2nd rule above

∴ y = 2[ $x^{4}$ + 2x + 6]

∴ y = 2 $x^{4}$ + 4x + 12

∵ The graph of 2.f(x) is translated 4 units to the right

- That means substitute every x by (x - 4) as the 1st rule above

∴ g(x) = 2 $(x-4)^{4}$ + 4(x - 4) + 12

The rule of g(x) is g(x) = 2 $(x-4)^{4}$ + 4(x - 4) + 12

Learn more:

You can learn more about transformation in brainly.com/question/2451812

#LearnwithBrainly

7 0

3 years ago