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3 years ago

How to solve a variable?

Mathematics

1 answer:

amm18123 years ago

7 0

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Hope this helps :D

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The dot plot shows the number of books lent by a school library during a 10-day period.

Katyanochek1 [597]

The mean absolute deviation of the number of books is 1.84

<h3>How to determine the mean absolute deviation?</h3>

The dot plot of the number of books is in the attached figure.

From the figure, we have:

x f

1 1

2 2

3 2

4 3

5 1

6 2

7 3

8 1

Start by calculating the mean using:

$\bar x= \frac{\sum fx}{\sum f}$

So, we have:

$\bar x= \frac{1 * 1 + 2 * 2 + 2 * 3 + 3 * 4 + 1 * 5 + 2 * 6 + 3 *7 + 1 * 8}{1 +2+2+3+1+2+3+1}$

Evaluate the sum and products

$\bar x= \frac{69}{15}$

Divide

$\bar x= 4.6$

The mean absolute deviation is then calculated as:

$|\bar x| = \frac{\sum f|x - \bar x|}{\sum f}$

So, we have:

$|\bar x|= \frac{1 * |1 -4.6|+ 2 * |2 -4.6| + 2 * |3 -4.6|+ 3 * |4 -4.6|+ 1 *| 5 -4.6|+ 2 * |6 -4.6|+ 3 *|7 -4.6|+ 1 * |8-4.6|}{1 +2+2+3+1+2+3+1}$

Evaluate the absolute difference

$|\bar x|= \frac{1 * 3.6+ 2 * 2.6 + 2 * 1.6+ 3 * 0.6+ 1 *0.4+ 2 * 1.4+ 3 *2.4+ 1 * 3.4}{15}$

Evaluate the sum of products

$|\bar x|= \frac{27.6}{15}$

Divide

$|\bar x|= 1.84$

Hence, the mean absolute deviation of the number of books is 1.84

Read more about mean absolute deviation at:

brainly.com/question/3250070

#SPJ1

6 0

2 years ago

How do I solve 1/3x=x-22

Over [174]

1/3x = x - 22 |Multiply everything by 3
x= 3x - 66 |Substract 3x from both sides
-2x = -66 |Divide both sides by -2
x = 33

6 0

3 years ago

What is the answer?

Dmitrij [34]

Answer:

read explanation

Step-by-step explanation:

rearrange equations to form y=mx+b

-2x+4=2y

-x+2=y

-y=-2x-5

y=2x+5

use these equations to find slope and y intercepts, and match those with the right graph

slope of first: -1

slope of second: 2

y-int of first: 2

y-int of second:5

3 0

3 years ago

Mr. Whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and t

raketka [301]

Answer:

-1.05 mm/year

2.48 years

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A square mosaic is made of small glass squares. If there are 196 small squares in the mosaic, how many are along an edge?

alexandr402 [8]

There would be 14 small glass squares along the edges of the square mosaic.

This is because 14 * 14 = 196, which means that if each side length was 14 squares, that the area of the square would contain 196 squares.

5 0

3 years ago

How to solve a variable?​

How to solve a variable?