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Misha Larkins [42]
2 years ago
8

Ricardo wants to install two security cameras at point A so the parking lot from side AE to side AB of the building can be monit

ored. Can he use two​ cameras, both with a field of view of 110°​, installed at point​ A? Explain. If​ not, what is the minimum field of view that each camera should​ have?
Mathematics
1 answer:
german2 years ago
5 0

Step-by-step explanation:

<u>The two cameras will have total view of:</u>

  • 110° + 110° = 220°

<u>The angle to be viewed is:</u>

  • 270° - 15° = 255°

This is not sufficient to cover the needed area as 220° < 255°

<u>The cameras should have a minimum view of:</u>

  • 255°/2 = 127.5°

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mean because there is an outlier

Step-by-step explanation:

since there is an outlier that affected the mean which is company D, it can only be mean because the outlier is too big.

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2 years ago
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Which expression can be simplified to find the slope of the trend line in the scatterplot?
Maslowich

Answer:

1. \frac{24-79}{12-2}

Step-by-step explanation:

We have been given a graph of a scatter-plot and we are asked to find the correct expression than can be solved to find the slope of the trend line in the scatter-plot.

Since we know that slope of a line can be found by dividing the difference of the y-coordinates of 2 points on a line by difference of the x-coordinates of these same points.  

\text{Slope}=\frac{y_2-y_1}{x_2-x_1}  

We can see that (2,79) and (12,24) are two given points of our trend line. So let us substitute x and y-coordinates of our given points in slope formula to find the our desired expression.    

x_1=2

x_2=12

y_1=79

y_2=24

\text{Slope}=\frac{24-79}{12-2}

Therefore, the expression \text{Slope}=\frac{24-79}{12-2} can be solved to find the slope of the trend line in the scatter-plot and 1st option is the correct choice.

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3 years ago
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Is the following function exponential?
frutty [35]

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Answer: yes

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2 years ago
A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i
steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

-5x^3+6x^2+15x -14=0\cdots(ii)

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.

Hence, the other number of items for the same profit is 849 items.

4 0
2 years ago
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