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
Answer:
Equilateral triangle will always have a perpendicular bisector that is also an angle bisector.
Step-by-step explanation:
Equilateral triangle property:
- All sides of the equilateral triangle are equal.
- Angle of every equilateral triangle are equal to 60°.
- Every altitude of an equilateral triangle is also a median and a bisector.
- Each median is also an altitude and a bisector.
- Each bisector is also an altitude and a median.
Therefore, by equilateral triangle property;
Perpendicular bisectors are angle bisectors in an equilateral triangle Since, all sides and angles are the same in an equilateral triangle.
Also, the angle bisector of an equilateral triangle forms 90 degree angle with the opposite side and bisects that side.
Answer:
0
Step-by-step explanation:
pretty easy tbh
I think that x may equal to -3. Because the sum of a triangle is always 180. 55+54=109 and 180-109=71 and -3+74=71
4 6-2 = 4 you subtract the largest and smallest number to get the answer
