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3 years ago

Which of the following equations is 2x + 3y = 6 written in slope-intercept form.

Mathematics

1 answer:

podryga [215]3 years ago

8 0

Answer: $y=\frac{-2}{3}x+2$

Step-by-step explanation:

In slope-intercept form y is isolated

So Let's solve for y.

$2x+3y=6$

Step 1: Add -2x to both sides.

$2x+3y+-2x=6+-2x\\3y=-2x+6$

Step 2: Divide both sides by 3.

$\frac{3y}{3} =\frac{-2x+6}{3} \\y=\frac{-2}{3}x+2$

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Find the values of the 30th and 90th percentiles of the data. Please show your work.

MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= $100,100,105,113,129,132,146,176,200$

The 30th percentile is located at

$(\frac{30}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = $\frac{105+113}{2}=\frac{218}{2}=109$

The 90th percentile is located at

$(\frac{90}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = $\frac{176+200}{2}=\frac{376}{2}=188$

6 0

3 years ago

How do i calculate an angle in a unit circle?

Alina [70]

Use the pie sunblo than use 5 plus 84

5 0

4 years ago

Read 2 more answers

Plz help me with this!

nikdorinn [45]

B is the answer because 12 divided by 6 is 2 and 18 divided by 6 is 3

3 0

4 years ago

What is kn+mp=q, for p?

faltersainse [42]

So first, subtract both sides of kn, so mp = q - kn
Then divide both sides by m, so:
p = (q - kn)/m

6 0

3 years ago

Read 2 more answers

What is 2/3 of 6 gallons

riadik2000 [5.3K]

$6* \frac{2}{3} = \frac{12}{3} =4$

The answer is 4 gallons.

7 0

4 years ago