I need help in solving a math problem.

Use complete sentences to describe why it is necessary to do the same thing to both sides of an equation to perform valid operat

Natalka [10]

It is important to do the same thing to both sides of an equation because in the end, both sides will be equivalent, or equal, therefor making the problem true. If you didn't do the same thing on both sides of an equation, one side would be incorrect and not equal to the other side. Hope this helps! Please mark brainliest. Thank you v much! :)

5 0

3 years ago

The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a fin

nikdorinn [45]

Answer:

Part a

The regression equation is, $\hat y = 29.3877 - 0.9596x$

Part b

The number of crimes for a city at 20 police officers was appointed is approximately 10.

Step-by-step explanation:

15 17 255 225 289

17 7 119 289 49

17 13 221 289 169

12 21 252 144 441

25 5 125 625 25

11 19 209 121 361

27 7 189 729 49

22 6 132 484 36

146 95 502 2906 1419

Therefore,

$\hat B_1=\frac{n \sum xy - (\sum x) (\sum y)}{n (\sum x^2) - (\sum x)^2}$

$= \frac{8(1502) - (146)(95)}{8(2906)-(146)^2} \\\\= \frac{-1854}{1932} \\\\= - 0.9596$

The calculation of the intercept coefficient is as follows:

$\hat B_0= \frac{\sum y }{n} - \hat B_1 (\frac{\sum x}{n} )$

$= \frac{95}{8} - (-0.9596)(\frac{146}{8} )\\\\= 11.875 + 17.5127\\\\= 29.3877$

The regression equation is, $\hat y = 29.3877 - 0.9596x$

b)

The calculation is as follows:

$\hat y= 29.3877 - 0.9596x\\\\= 29.3877-0.9596(20)\\\\=29.3877-19.1920\\\\=10.1957$

≅ 10

The number of crimes for a city at 20 police officers was appointed is approximately 10.

That is, the number of polices increases then the number of crimes will be decreases.

8 0

4 years ago

5(x+4)>2x-7 please help

Alik [6]

Answer:

x > -9

Step-by-step explanation:

3 0

3 years ago

Does the relationship show a ratio or a rate?

wel

Step-by-step explanation:

wkddkdkddiddidififoiwisisidjdjxhxgxhxzj

5 0

3 years ago

Question

Yanka [14]

Answer:

69.4 inches

Step-by-step explanation:

62 + 72 + 73 + 69 + 71 = 347

347 / 5 = 69.4

7 0

3 years ago