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3 years ago

6x-12y=36 Converting from standard form to slope intercept form

Mathematics

2 answers:

AnnyKZ [126]3 years ago

5 0

Slope intercept form is y=mx+b
6x-12y=36
-12y=36-6x
y=36-6x/-12

y=0.5x-3

luda_lava [24]3 years ago

3 0

6x - 12y = 36

12y = 6x - 36

2y = x - 6 or (y = 1/2x - 3)

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11 /5,786 what does the r mean

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Step-by-step explanation: The set of real numbers is denoted using the symbol R or. and is sometimes called "the reals".

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3 years ago

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The test scores on a 100-point test were recorded for 20 students:71 93 91 86 7573 86 82 76 5784 89 67 62 7277 68 65 75 84a. Can

Dafna11 [192]

Answer: a. Yes

b. mean = 76.65

standard deviation = 10.04

c. 76.65 ± 4.4

Step-by-step explanation:

a. Stem and leaf Plot shows the frequencies with which classes of value occur. To create this plot, we divide the set of numbers into 2 columns: stem, the left column, which contains the tens digits; leaf, the right column, which contains the unit digits.

Normal distribution is a type of distribution: it's a bell-shaped, symmetrical, unimodal distribution.

A stem and leaf plot displays the main features of the distribution. If turned on its side, we can see the shape of the data.

The figure below shows the stem and leaf plot of the 100-point test score. As we can see, when turned, the plot resembles bell-shaped distribution. So, this test scores were selected from a normal population.

b. Mean is the average number of a data set. It is calculated as the sum of all the data divided by the quantity the sample has:

mean = $\frac{\Sigma x}{n}$

For the 100-point test score:

mean = $\frac{71+93+91+...+65+75+84}{20}$

mean = 76.65

Standard Deviation determines how much the data is dispersed from the mean. It is calculated as:

$s=\sqrt{\frac{\Sigma (x-mean)^{2}}{n-1} }$

For the 100-point test score:

$s=\sqrt{\frac{[(71-76.65)+(93-76.65)+...+(84-76.65)]^{2}}{20-1} }$

s = 10.04

The mean and standard deviation of the scores are 76.65 and 10.04, respectively.

c. Confidence Interval is a range of values we are confident the real mean lies.

The calculations for the confidence interval is

mean ± $z\frac{s}{\sqrt{n} }$

where

z is the z-score for the 95% confidence interval, which is equal 1.96

Calculating interval

76.65 ± $1.96.\frac{10.04}{\sqrt{20} }$

76.65 ± 4.4

The 95% confidence interval for the average test score in the population of students is between 72.25 and 81.05.

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3 years ago

A triangle has side lengths of ( 4h + 2k) centimeters, (9h + 4m) centimeters, and (2m - k) centimeters. Which expression represe

enot [183]

Answer:

P = (13h+k+6m) cm

Step-by-step explanation:

Given that,

The side lengths of a triangle are :

(4h + 2k) cm, (9h + 4m) cm, and (2m - k) cm

We need to find the perimeter of the triangle.

We know that,

Perimeter = sum of all sides

So,

P = (4h + 2k)+(9h + 4m)+(2m - k)

= (4h+9h)+(2k-k)+(4m+2m)

= 13h+k+6m

Hence, the perimeter of the triangle is (13h+k+6m) cm.

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3 years ago

In triangle PQR, measurement P = 7x+8 , measurement Q = 8x-10, and measurement R = 7x+6 . List the sides in order from shortest

astra-53 [7]

Answer:

QRP

Q = 8x-10

R = 7x+6

P = 7x+8

Step-by-step explanation:

Let x be any positive integer, say x=2

P=7x+8=(7*2)+8=22 units

Q=8x-10=(8*2)-10=6 units

R=7x+6=(7*2)+6=20 units

From the above, Q is the shortest and P is the longest side. Therefore, the sides arranged from shortest to longest will be Q, R, P

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3 years ago

I need some help with this problem, #18. Can someone help me please??

Jlenok [28]

Givens
<FOP = 2x + 2
<POQ = 10x - 8
<OF is bisects POQ

Comment
If you multiply POF (which is 2x + 2) by 2 it will be the same size as <POQ because POF is one of the bisected angles of < POQ.

Create an equation and solve
2(2x + 2) = 10x - 8 Remove the brackets.
4x + 4 = 10x - 8 Add 8 to both sides.
4x + 4 + 8 = 10x Combine like terms.
4x + 12 = 10x Subtract 4x from both sides.
12 = 10x - 4x
12 = 6x Divide by 6
x = 12/ 6
x = 2 <<<< answer A

Find <POF
< POF = 2x + 2
< POF = 2(2) + 2
<POF = 4 + 2
<POF = 6 <<<< answer B

Find <QOF
<QOF = <POF
<QOF = 6 <<<<< Answer C

Find <POQ
<POQ = 10x - 8
<POQ = 10(2) - 8
<POQ = 20 - 8
<POQ = 12 <<<<< Answer D

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3 years ago