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3 years ago

What are the steps of changing 2x 3y = 1,470 into slope-intercept form?

Mathematics

1 answer:

Ber [7]3 years ago

6 0

Solve for y is answer

2x+3y=1470
minus 2x from both sides
3y=-2x+1470
divide both sides by 3
y=-2/3x+490

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Given the sample 4, −2, −6, 19, 6, add one more sample value that will neither change the mean nor the variance. Round to two de

DedPeter [7]

Answer:

Cannot create sample

Step-by-step explanation:

We are given the following in the question:

4, -2, -6, 19, 6

Formula:

$\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{21}{5} = 4.2$

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8

$s^2 = \dfrac{364.8}{4}} = 91.2$

If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.

New sample:

4, -2, -6, 19, 6, 4.2

$Mean =\displaystyle\frac{25.2}{6} = 4.2$

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8

$s^2 = \dfrac{364.8}{5}} = 72.96$

Thus, the variance of new sample changes.

Thus, it is not possible to create a sample.

5 0

3 years ago

Jack is walking on a trail and comes to mile mark 5. If he continues walking for another mile, what is the next mile marker he w

Ad libitum [116K]

Answer:

I would say 6 or 4, if we don't know which direction he is walking

7 0

3 years ago

Work out the height of a parallelogram with a base of 4.6cm and a height of 2cm

klio [65]

Answer:

I think its ,just maybe 45cm

3 0

3 years ago

Emily has $60. Out of the $60, she spends 50% on groceries. This grid represents $60. How many would I need to shade of the squa

djyliett [7]

I think 30 squares.

6 0

3 years ago

Read 2 more answers

A triangle has an area of 48 square centimeters. The height of the triangle is 6 centimeters. What is the base of the triangle?

andrew11 [14]

Question :-

A Triangle has an Area of 48 cm² . The Height of the Triangle is 6 cm . What is the Base of the Triangle ?

Answer :-

Base of Triangle is 16 cm .

Explanation :-

As per the provided information in the given question, we have been given that the Area of Triangle is 48 cm² . It's Height is given as 6 cm . And, we have been asked to calculate the Base of Triangle .

For calculating the Base of Triangle , we will use the Formula :-

$\bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Triangle} \: = \: \frac{1}{2} \: \times \: B \: \times \: H \: }}$

Where ,

B denotes to the Base .
H denotes to the Height .

Therefore , by Substituting the given values in the above Formula :-

$\dag \: \: \: \sf { Area \: _{Triangle} \: = \: \dfrac{1}{2} \: \times \: Base \: \times \: Height }$

$\longmapsto \: \: \: \sf {48 \: = \: \dfrac {1}{2} \: \times \: Base \: \times \: 6 }$

$\longmapsto \: \: \: \sf {48 \: \times \: 2 \: = \: 1 \: \times \: Base \: \times \: 6}$

$\longmapsto \: \: \: \sf {96 \: = \: 1 \: \times \: Base \: \times \: 6}$

$\longmapsto \: \: \: \sf {96 \: = \: 6 \: \times \: Base }$

$\longmapsto \: \: \: \sf {Base \: = \: \dfrac {96}{6} }$

$\longmapsto \: \: \: \textbf {\textsf {Base \: = \: 16 \: cm}}$

Hence :-

Base of Triangle = 16 cm .

$\underline {\rule {180pt} {4pt}}$

6 0

1 year ago