Answer:
I got option 1.
Step-by-step explanation:
See pictures
Answer: NOT POSSIBLE
Step-by-step explanation:
It is not possible for such a triangle to be formed because it violates the <em>Triangle Inequality Theorem </em>which states that the sum of two sides of a triangle must be more than the third side.
8 + 4 = 12 which is larger than the other side of 4cm so this is fine
4 + 4 = 8 is equal to the other side of 8cm so this is not fine.
So long as the summed length of any 2 of the sides is not more than the third side, a triangle cannot be formed.
Answer:
Step-by-step explanation:
The given data is
42 40 39 31 22 18 15 12 11.7 10.5
Range = 42 - 10.5 = 31.5
Mean = (42 + 40 + 39 + 31 + 22 + 18 + 15 + 12 + 11.7 + 10.5)/10 = 24.12
n = 10
Variance = Summation(x - mean)²/n
Summation(x - mean)² = (42 - 24.12)^2 + (40 - 24.12)^2 + (39 - 24.12)^2 + (31 - 24.12)^2 + (22 - 24.12)^2 + (18 - 24.12)^2 + (15 - 24.12)^2 + (12 - 24.12)^2 + (11.7 - 24.12)^2 + (10.5 - 24.12)^2 = 1452.396
Variance = 1452.396/10 = 145.2396
Standard deviation = √(summation(x - mean)²/n
Standard deviation = √(145.2396
Standard deviation = 12.1
The standard deviation of the sample is not a good estimate of the variation of the salaries of the TV personalities in general because
B. No, because the sample is not representative of the whole population.
∠L = 180° - (∠M + ∠N) = 180° - (112° + 31°) = 180° - 143° = 37°
