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swat32
3 years ago
8

What is the equation of the line x–3y=18in slope-intercept form?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer:

y=\frac{1}{3} x-6

Step-by-step explanation:

Write down the slope-intercept form:

y=mx+b

Where m is the slope and b is the y-intercept.

To turn the equation into slope-intercept form, isolate y on the left-hand side:

x-3y=18\\-3y=18-x\\y=-6+\frac{x}{3} \\

Rearrange the equation a bit:

y=\frac{1}{3} x-6

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What is the distance between the points ( 19, 4) and (11, 12)?
Olenka [21]
D = \sqrt{(x_{2}- x_{1})^{2}+ (y_{2} -y_{1})^{2}}
D = √(11-19)²+(12-4)²
D = √(-8)²+(8)²
D = √64+64
D = √128
D ≈ 11.3137 
8 0
3 years ago
A real estate agent has surveyed houses in twenty nearby zip codes in an attempt to put together a comparison for a new property
gladu [14]

Answer:

A a house in that market that sells for ​$300,000 is unusual.

Step-by-step explanation:

Let the random variable <em>X</em> denote the price of a house and the random variable <em>Y</em> denote the living area of a house.

The number of houses surveyed by the real estate agent is, <em>n</em> = 1057.

Assume that both the random  variables, <em>X </em>and <em>Y</em> are approximately normally distributed.

That is,

X\sim N(\$169400,\ \$68438)\\\\Y\sim N(2058\ \text{sq. ft.},\ 790\ \text{sq. ft.})

To compute the probability of a Normal distribution we first need to convert the raw scores to <em>z</em>-scores.

z=\frac{\text{Raw score}-\mu}{\sigma}

A <em>z</em>-score higher than 1.96 and lower than -1.96 are considered unusual. The values having these <em>z</em>-scores are considered as outliers.

(1)

Compute the <em>z</em>-score for <em>X</em> = 300000 as follows:

z=\frac{X-\mu}{\sigma}\\\\=\frac{300000-169400}{68438}\\\\=2.70

(2)

Compute the <em>z</em>-score for <em>Y</em> = 3000 as follows:

z=\frac{Y-\mu}{\sigma}\\\\=\frac{3000-2058}{790}\\\\=1.19

The <em>z</em>-score for a house in that market that sells for ​$300,000 is more than 1.96.

This implies, that the price $300,000 is unusually high.

The complete statement is:

The house that sells for ​$300 comma 000 has a​ z-score of <u>2.70</u> and the house with 3000 sq ft has a​ z-score of <u>1.19</u>.

5 0
3 years ago
PLEASE HELP!!!!!!! I need this today!!!!
aleksley [76]

Answer:

you can you can do it! but I don't know

3 0
1 year ago
An art teacher needs to cut out squares of paper for an art project from a left-over sheet of paper measuring 72 x 104 inches. W
Kitty [74]

Answer:

7488 inches

Step-by-step explanation:

I think that this is the correct answer. The reason is that you have to multiply 72 x 104. I´m not 100% sure.

6 0
3 years ago
What is the measure of ∠B? <br> Someone quickly answer please !!
Diano4ka-milaya [45]
Hello!

Since the shape has 6 points it is a hexagon

The sum of the angles in a hexagon add to 720

You add all the angles you know

102 + 133 + 117 + 170 + 90 = 612

Subtract this from 720 to find b

720 - 612 = 108

The answer is B) 108°

Hope this helps!
6 0
3 years ago
Read 2 more answers
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