To solve this problem, you can split the shape into a triangle and a parallelogram.
You can do this by imagining/drawing a line from point A to point C>
Now you can work out the area of triangle ACB
1/2 x b x h
1/2 x 5 x 3
= 7.5
Now work out the area of the parallelogram ACDE
b x h
5 x 3 = 15
Add the areas together and then you have the answer
7.5 + 15 = 22.5
1.)PPF
2.)FFP
hope it helps
Answer:
35
Step-by-step explanation:
Let me know if I got it right
Ok, insert (-10) for x
Multiply (-10) and 4 (-40)
Change subtraction to addition of the opposite [(-40) + (-100)]
Your answer is -140
Hope this helps.
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