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Paul [167]
3 years ago
6

A police department believes that the number of serious crimes which occur each month can be estimated by the equation c=1200-12

.5p where c equals number of serious crimes per month and p equals the number of officers assigned to preventive patrol.If c if graphed on the vertical axis a)Identify the slope and interpret its meaning b(Identify the c intercept and interpret its meaning c)Identify the p intercept and interpret its meaning
Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0

Answer:

a) -12.5; the crimes committed goes down by 12.5 every time there are more police officers assigned to patrol.

b) 1200. The number of crimes committed if no police officers were on patrol.

c) 96. The hypothetical number of police officers on duty if no crime were to ever occur.

Step-by-step explanation:

The intercepts are found by substituting 0 for the other variable in the equation.

For example, if you wanted to find the C intercept, all you have to do is make P = 0, so you would end up with C = 1200 - (12.5 * 0), which simplifies down to 1200.

You would apply the same strategy to find the P intercept.

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Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probabi
r-ruslan [8.4K]

Answer:

15.85%

Step-by-step explanation:

The empirical rule states that:

  • 68% of all data falls within 1 standard deviation of the mean
  • 95% of all data falls within 2 standard deviation of the mean
  • 99.7% of all data falls within 3 standard deviation of the mean

When we say 1,2,3 standard deviation of the mean, that is, it is evenly distributed in both sides of the mean. For example:

68/2 = 34% of data falls within mean - 1*standard deviation, and

also, 34% of data falls within mean + 1*standard deviation

Now, we see that 192 - 27 = 165, so this is 1 standard deviation of the mean [mean - 1*standard deviation], so 34% of data fall in that range.

But we want, data that ARE FEWER than 165. So, we use property of normal distribution.

Half of data (50%) is left of mean, of which 34% fall within 1 standard deviation So the remaining would fall fewer than 165.

That is 50 - 34 = 16 - 0.15 = 15.85%

<u><em>Note:</em></u> since 99.7% fall within 3 standard deviation of mean, so 100 - 99.7 = 0.3 which is distributed in both sides, so 0.3/2=0.15 is subtracted

6 0
3 years ago
Estimate the answer to the following calculation<br><br>​
ryzh [129]

\frac{7.4^2 +\sqrt{8.67}}{0.53} \approx \bold{108.876}\\

3 0
3 years ago
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An investment account earns 4% per year compounded annually.
melisa1 [442]
Amount after 3 years = 4000( 1 + 0.04)^3  =   $4,499.46  answer
8 0
3 years ago
An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right
Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324

2x² - 8x + 12x + 16 + 36 = 4x² - 72x +  324

2x² + 4x + 52 = 4x² - 72x +  324

2x² - 4x² + 4x + 72x + 52 - 324 = 0

-2x² + 76x - 272 = 0

2x² - 76x + 272 = 0

divide through by 2

x² - 38x + 136 = 0

find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

x² - 4x - 34x + 136 = 0

x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4  = 34 - 4 = 30 ft

x + 6 = 34 + 6 = 40 ft

2x - 18 = 68 - 18 = 50 ft

6 0
3 years ago
Expression for six minus b
Zanzabum

Answer:

6-b

Step-by-step explanation:

I hope this helps, and have a great day! :D

4 0
2 years ago
Read 2 more answers
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