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Alexus [3.1K]
3 years ago
10

What is an equation of the line with slope 5 and y-intercept 8?

Mathematics
1 answer:
jeka943 years ago
8 0

Answer:

y=5x+8

Step-by-step explanation:

You need have the slope-intercept formula:

y=mx+b

m=slope

b=y-intercept

You replace the m and b with the slope and y-intercept which is 8

y=5x+8

Hope this helps!

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What is the length of the arc intercepted by an angle of 10 degrees on a circle with a radius of 10 meters?
soldier1979 [14.2K]
   
\displaystyle\\
\texttt{Length of the arc }= 2\pi R\times  \frac{10}{360} = \frac{2\pi \times 10}{36} = \frac{20\pi}{36} =  \boxed{\frac{5\pi}{9}~m}



3 0
3 years ago
If a time series plot exhibits a horizontal pattern, then
gogolik [260]

Answer: C. there is still not enough evidence to conclude that the time series is stationary.

Step-by-step explanation: First thing to note for a time series plot is that it is required to select a suitable forecast method for the data set being considered.

A stationary time series means that the process generating the data set has a constant mean and the variations are constant over time. This means all evidence is present leading to the conclusion that the entire time series is stationary. A stationary time series thus exhibits an horizontal pattern which enables an appropriate forecast method to be selected for this type of pattern.

A horizontal pattern of a time series plot indicates that a data set fluctuates around a constant mean for a period of time. This period of time may however not be the entire time of the time series or take the entire data set into consideration and might just be a reflection of a portion of the time series hence why it can not be explicitly considered to be stationary. This means that a horizontal pattern can change into a seasonal or trending pattern if more variables/data are added over time.

For instance, a manufacturer sells a certain amount of products over a 10 week period and the resulting pattern of a time series plot is horizontal, then from the 11th week to the 15th week he gets a sharp and continuous increase in sales. This change in level will therefore change the time series plot from horizontal to trending making it more difficult to select a suitable forecast method.

6 0
3 years ago
An instructor made a frequency table of the scores his students got on a test score frequency 30-under 40 1 40-under 50 4 50-und
RideAnS [48]
First, you add up the total number of students because we would base our percentage one this.

Total number of students = 1+4+5+10+20+10+5
Total number of students = 55

Now, let's count how many of them got a score of more than 70. For this, you would only count the students belonging to 70-under 80, 80-under 90 and 90-under 100.

Students who got more than 70 = 20+ 10 + 5 = 35

Therefore the percentage is equal to:
Percentage = 35/55 * 100 = 63.64%
4 0
3 years ago
PLEASE HELP ASAP GIVING 100 POINTS
Inessa [10]

Answer:

3.98 meters

Step-by-step explanation:

First we need to know the formula for finding the height of a cylinder

h=\frac{V}{\pi r^2}

Now That we know our formula, we just need to put in our numbers and simplify

h=\frac{5000}{\pi 20^2}

h=\frac{5000}{1256.637}

h=3.97887

4 0
2 years ago
Three times the difference of a number and nine.​
Nikitich [7]

Answer:

3*x-9

Difference means subtraction and times means multiplication!

6 0
3 years ago
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