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Zarrin [17]
3 years ago
15

What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?

Mathematics
1 answer:
ivann1987 [24]3 years ago
8 0

Answer:

The slope is undefined

Step-by-step explanation:

Slope (m) = infinity  (undefined)

θ =  π  = 90°

2

distance (d) = 2

ΔX = 0  

ΔY = 2

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The number of newly reported crime cases in a county in New York State is shown in
JulsSmile [24]

Answer:

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

The predicted number of new cases for 2013 is 1368.

Step-by-step explanation:

The general form of a linear regression is:

y=a+bx

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

Compute the values of <em>a</em> and <em>b</em> as follows:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:

y=1083.48+23.73x

  =1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368

Thus, the predicted number of new cases for 2013 is 1368.

8 0
3 years ago
AC = 16, AB = x + 1, and BC = x + 7. What is the measure of the length of AB? HELP
saveliy_v [14]

Answer:

5

Step-by-step explanation:

AC=AB+BC

so 16=x+1+x+7

which simplifies to 16=2x+8

subtract eight from both sides to get 8=2x

then divide by 2 to get that x=4

AB=x+1, which substitutes into 4+1=5

6 0
3 years ago
What ratio is proportional to 18/21
Doss [256]

Answer:

There are many.

Step-by-step explanation:

When you say proportional, you are looking for a ratio that is equivalent to the ratio given. In your case, there are many so you might need to be more specific. But still, we can help you figure it out.

An easy way to do this would be to scale it down to its simplest form and then move upwards. To find proportional ratios, just multiply denominator and the denominator with the same factor.

\dfrac{18}{21} = \dfrac{6}{7}

That is your ratio in its simplest form. Now we can scale up, I'll show you how to do one completely:

\dfrac{6}{7} x \dfrac{2}{2} = \dfrac{12}{14}

That's the same ratio scaled up by a factor of 2.

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{3}{3} = \dfrac{18}{21}

That's the ratio given

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{4}{4} = \dfrac{24}{28}

Scaled up by a factor of 4

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{5}{5} = \dfrac{30}{35}

Scaled up by a factor of 5.

The list goes on and on.


3 0
3 years ago
Felipe and Makayla each tried to solve the same
amid [387]
Felipe subtract 3x from both side to get rid of x on one side. Ik this isn’t part of the answer but the correct way to do this would be to subtract 2x from each side after adding 8 to each side of the equation
7 0
3 years ago
23 times 536 what is the proodsuct to that number
Nikolay [14]
   
23 × 536 = 12328
==============



4 0
3 years ago
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