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3 years ago

Given the data set (200,150,325,100,75) find the mean of the data set

1 answer:

7 0

To find the mean (average), u add up all the numbers, then divide by how many numbers there are.

(200 + 150 + 325 + 100 + 75) / 5 = 850/5 = 170 <== the mean

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Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)

Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula $y = mx + b$ . We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of the given points into it. Then, simplify to find the slope, or $m$ :

$m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1$

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula $y-y_1=m(x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ . From there, we can convert the equation into slope-intercept form.

Since $m$ represents the slope, substitute 1 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

$y-3=1(x-0)\\y-3 = x\\y = x + 3$

8 0

2 years ago

Solve the inequality –1 > –2(x – 4) – 5(4x – 7).

Ksivusya [100]

Answer:

$x > 2$

Step-by-step explanation:

$–1 > –2(x – 4) – 5(4x – 7)$

$–1 > –2x + 8 –20x + 35$

$–1 > - 22x + 43$

$- 1 - 43 > - 22x$

$- 44 > - 22x$

$\frac{ - 44}{ - 22} < \frac{ - 22x}{ - 22}$

$2 < x$

$x > 2$

5 0

2 years ago

A sporting goods store is having a 15% off sale on all items. Which functions can be used to find the sale price of an item that

asambeis [7]

The answers are:
ƒ(x) = x - .15x
Sale = Original - .15(Original)
y = .85x

Let sale price be f(x) and x be the original price. Discount was 15% = 0.15
f(x) = x - 0.15x

If f(x) is sale and x is the original, then:
Sale = Original - .15(Original)

Let sale price be y and original price x:
y = x - 0.15x
y = 1 * x - 0.15 * x
y = (1 - 0.15) * x
y = 0.85x

3 0

2 years ago

2 parts compost, 6 parts potting soil for 10 kg of mix. How many kg of compost

likoan [24]

Answer:

Step-by-step explanation:

A proportion could be used.

With 2 parts of compost and 6 parts potting soil, you would end up with 8 total parts.

So it can be written as a ratio of compost to total mix, or $\frac{2}{8}$

The problem states 10 kg are needed in total, and the variable would be the amount of compost

As a ratio it would be $\frac{x}{10}$ .

Use the ratios to write a proportion.

$\frac{2}{8} = \frac{x}{10}$

Multiply both sides of the equation by 10

$\frac{20}{8} = x$

Convert to a decimal if desired.

$x=2.5$

3 0

2 years ago

What is the slope of this line?

Brums [2.3K]

Answer:

$slope=\frac{1}{4}$

Step-by-step explanation:

The slope of a line can be seen as:

$\frac{rise}{run}$

Rise over run is the change in the y values over the change in x values. For example, in this graph, you would start on one of the points given. From there, you would move up first. After moving up a certain number of spaces, you would move to the side until you reach the other point.

In the graph, you would move up until you are in line with one of the other points. Starting at (-4,5), move up one space, then to the left 4 spaces to reach the point (0,6). Using the spaces moved in the rise over run:

$\frac{1}{4} =\frac{rise}{run}=slope$

Therefore, the slope is $\frac{1}{4}$ .

This is true for any two points on the line.

:Done

*When you move up, the number will be positive $(\frac{+y}{x} )$ . If you move down, the number will be negative $(\frac{-y}{x} )$ . If you move left, the number will be positive $(\frac{y}{+x})$ . If you move right, the number will be negative $(\frac{y}{-x} )$ . Keep this in mind. It is very important.

**Always move along the y-axis first, then move along the x-axis. If you do it the other way, the slope will be wrong.

6 0

2 years ago