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2 years ago

Write an equation in point slope form for a line that includes the origin and (9,-3)

1 answer:

3 0

So we are given two points that the line crosses, the origin and (9, -3), we can calculate the slope m of the line with these data, dividing the y segment by the x segment:
m = (-3 - 0)/(9 - 0) = -3/9
m = -1/3
then we can use the point slope line equation to find the line equation, lets use the point origin (0,0) to do so:
y - y1 = m(x - x1), where x1, y1 are the coordinates of a point that the line crosses:
y - 0 = (-1/3)(x - 0)
y = <span>(-1/3)x
so this is the equation of the line, slope -1/3 and y intercept 0</span>

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One step equations x/4 =9

Tamiku [17]

Hi Natalie

We have x/4 = 9

All you have to do is cross multiplication

x = 4*9

x= 36

That's all :)

I hope that's help:)

Now if you wanna check my answer just replace x by 36

36/4 = 9

9= 9

Because when you divide 36 by 4 you will find 9

I hope that's help:)

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3 years ago

What are the slope between (-5,-2) and (8,13)

Cerrena [4.2K]

Answer:

The slope:

$m = \frac{15}{13}$

Step-by-step explanation:

-To determine the slope of the following points shown, you need this formula:

$m = \frac{y_{2} - y{1}}{x_{2} - x_{1}}$

( $m$ represents the slope, $(x_{1}, y_{1})$ represents the first coordinate and $(x_{2},y_{2})$ represents the second coordinate)

-Apply the following points to the formula:

$m = \frac{13 + 2}{8 + 5}$

Then, solve:

$m = \frac{13 + 2}{8 + 5}$

$m = \frac{15}{13}$

So, the slope is $\frac{15}{13}$ .

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3 years ago

*<br> ate: Find 8% of 40.<br> nt)

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The answer is 3.2.

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2 years ago

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It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo

BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The sample size is n = 120

The mean of the proportion is p = 0.09

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{p(1-p)}{n} }$