Answer:
Range = 13
Mean = 8.3
Variance = 17.61
Step-by-step explanation:
Given the population dataset :
2, 9, 15, 4, 12, 9, 13, 6, 3, 10
1.) Range : (maximum - minimum)
Maximum = 15 ; minimum = 2
Range = (15 - 2) = 13
2.) population mean (μ) :
μ = ΣX / n
n = sample size
μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10
μ = 83 / 10
μ = 8.3
3.) Population variance (s²)
Σ(x - μ)² / n
=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10
s² = 176.1 / 10
s² = 17.61
all shapes with 4 angles are 360 degrees
100+96= 196
360-196= 164
c+d=164
80+84=164
D is 84
C is 80
Answer: See below
Step-by-step explanation:
For the first one, we are already given our slope. All we need to do is find the y-intercept, b.
y=-2x+b
6=-2(-3)+b
6=6+b
b=0
The slope-intercept form is y=-2x.
For the second one, we need to first find the slope using 
.
Now that we have our slope, we can plug it into our slope-intercept form to solve for b.
The slope-intercept form is 
.
For the third one, we are already given the slope, so all we have to do is find b.
The slope-intercept form is 
.
For the last one, we need to first find the slope using .
Now that we have our slope, we can plug it into our slope-intercept form and find b.
Our slope-intercept form is 
.
Negative 45 or -45 because different signs with multiplication are always negative
Answer: If you sketch this out, you should be able to convince yourself that if you drew a line parallel to the bases and halfway between them, and a vertical at the end of that line, there would be an extra triangle on the longer base that would just fit into the space at the end of the shorter base, if you cut and pasted it.
You should also be able to convince yourself by what you know about similarity that the length of that parallel halfway line is just halfway between the lengths of the bases (you can add them and divide by two).
So your trapezoid (trapezium, we call ’em this side of the pond) has the same area as a rectangle with an altitude equal to the trapezoid’s and a width equal to the sum of those bases divided by two. And since you know about rectangles, you’re home and dry. I suggest you do the sketch, fill in the numbers, and then you’ve completed a model piece of homework that should earn full marks and the teacher’s approval.
Step-by-step explanation:
