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erik [133]
3 years ago
12

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2013 was 125, and then went down by 12% in

2014. How many robberies were there in Springfield in 2014?
Mathematics
2 answers:
Scorpion4ik [409]3 years ago
7 0
Answer: 110
Solution: 12% of 125= 15
125-15= 110
Hope you get it.
Vladimir79 [104]3 years ago
7 0

Answer:

110

Step-by-step explanation:

  • 2013

No of robberies = 125

Percentage = 100%

  • 2014

No of robberies = 'd'

Percentage = 12% lower than 2013 = 100% - 12%

= 88%

No of robberies in 2014 = 88% of the number of robberies in 2013

'd' = 88/100 × 125

'd' = 0.88 × 125

'd' = 110

2014 robberies = 110 in number

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Find the mean of the data in the dot plot below.
salantis [7]

The mean of the following dot plot:

Mean: 3

Step-by-step explanation:

0 x 1 = 0

3 x 1 = 3

6 x 1 = 6

(we only add the numbers that only has a dot on the number in the dot plot)

So:

Mean: 0 + 3 + 6 = 9/3 = 3

Read more on Brainly.com - brainly.com/question/16754217#readmore

this was my previous answer from your other question

7 0
2 years ago
Read 2 more answers
B. If 3x - 3 and 5x + 7° are the angle of a linear pair, find their measurement the angle<br>​
ankoles [38]

Answer:

x = 22°

the angles are: 63° and 117°

Step-by-step explanation:

a linear pair of angles total together to be 180°

so:

3x - 3 + 5x + 7 = 180

combune like terms:

8x = 176

divide both sides of the equation by 8:

x = 22°

the angles are: 63° and 117°

7 0
2 years ago
the copy machine at the library made a copy of leslie's 3 page essay in just 1/10 of a minute. what is the speed of the copy mac
borishaifa [10]

Answer:

<h2><em>30page essay/min</em></h2>

Step-by-step explanation:

Speed is the change in distance of a body with respect to time.

Speed = Distance/Time

If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs

To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).

If 3 page essay = 6secs

x page essay = 60 secs

cross multiply

3*60 = 6x

180 = 6x

x = 180/6

x = 30

<em>This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.</em>

5 0
3 years ago
Please help. Thank you :)
mixer [17]

Okay, first let's look at what they give us!


The measure of angle 2 is 3x + 1


Measure of angle 3 is 2x + 4


And they give us that one angle is right which means it is 90°


Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:


3x + 1 + 2x + 4 + 90 = 180


First we will add together liked terms!


3x + 2x = 5x


1 + 4 + 90 = 95


This gets us:


5x + 95 = 180


Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:


5x = 85


Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:


x = 17


Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!

3(17) + 1


51 + 2 to get us 52!


Answer: 52

3 0
3 years ago
The Consumer Price Index​ (CPI) is a measure of the change in the cost of goods over time. If 1982 is used as the base year of c
Mashcka [7]

Answer:

a) y = 3.8 x +100

b) Abs. change= |168.4-167.5|=0.9

So the calculated value is 0.9 points above the actual value.

Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537%

And the calculated value it's 0.537% higher than the actual value.

c) For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

Step-by-step explanation:

Data given

1982 , CPI=100

1986, CPI = 191.2

Notation

Let CPI the dependent variable y. And the time th independent variable x.

For this case we want to adjust a linear model givn by the following expression:

y=mx+b

Solution to the problem

Part a

For this case we can find the slope with the following formula:

m =\frac{CPI_{2006}-CPI_{1982}}{2006-1982}

And if we replace we got:

m =\frac{191.2-100}{2006-1982}=3.8

Let X represent the number of years after. Then for 1982 t = 0, and if we replace we can find b:

100 = 3.8(0)+b

And then b=100

So then our linear model is given by:

y = 3.8 x +100

Part b

For this case we need to find the years since 1982 and we got x = 2000-1982=18, and if we rpelace this into our linear model we got:

y = 3.8(18) +100=168.4

And the actual value is 167.5 we can compare the result using absolute change or relative change like this:

Abs. change= |168.4-167.5|=0.9

So the calculated value is 0.9 points above the actual value.

And we can find also the relative change like this:

Relative. Change =\frac{|Calculated -Real|}{Real}x100

And if we replace we got:

Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537%

And the calculated value it's 0.537% higher than the actual value.

Part c

For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

3 0
3 years ago
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