Answer:
y = -2x
Step-by-step explanation:
Equation in slope-intercept form is y = mx + b.
m = slope = ∆y/∆x
Using any two points on the line, say (0, 0) and (-20, 40),
Slope (m) = (40 - 0) / (-20 - 0) = 40/-20
Slope (m) = -2
b = y-intercept = the value of y when x = 0.
b = 0
To write the equation of the line, substitute m = -2 and b = 0 into y = mx + b
Thus:
y = -2x + 0
y = -2x
The dot plot uses dots to for data representation.
- <em>The dot plot is right skewed</em>
- <em>There is an outlier, 9.</em>
- <em>The best measure of center is median</em>
<u>(a) The description</u>
From the dot plot (see attachment), we have the following observations,
- <em>There are more data at the left-hand side, than the right-hand side of the dot plot.</em>
- <em>There is only one data element at the right-hand side</em>
<em />
This means that the dot plot is right skewed
<u>(b) Outlier</u>
From the dot plot, we can see that 9 is relatively far from the other data elements.
This means that 9 is outlier
<u>(c) Measure of center</u>
In (b), we established that the dot plot has an outlier.
When there is an outlier, the best measure of center to use is the median.
<em>Hence, the median will be used as the measure.</em>
Read more about dot plots at:
brainly.com/question/21862696
Answer:
The length of OR = 3.12
Step-by-step explanation:
In a parallelogram:
LM = 4.12
MN = 4
LN = 5 = 2.5 (divided by 2)
OM = 6.4
where LN and OM are diagonals. We will find the length of OR.
Now by applying the Pythagorean theorem:
b = √c²-a²
OR= √(4)²-(2.5)²
OR = √16-6.25
OR = √9.75
OR = 3.12
Thus the length of OR = 3.12 ...
Answer:
9 1/5
Step-by-step explanation:
3 2/7 * 2 4/5
Change to improper fractions
( 7*3+2)/7 * ( 5*2+4)/5
23/7 * 14/5
Rewriting
14/7 * 23/5
2 * 23/5
46/5
Changing back to a mixed number
5 goes into 45 9 times with 1 left over
9 1/5
Answer:
The equation of the given circle is X²+y²+4x- 12y+15=0