1. 4 inside angles must sum to 360:
X = 360-45-65-95 = 155
2. All the outside angles must sum
To 360:
2x + 70+ 86 + 9 = 2x + 248
2x = 360-248
2x = 112
X = 112/2 = 56
3. Sum of interior angles for 6 sides figure = 720.
X = 720 - 90-120-130-140-150
X = 90
4. Exterior angles sum to 360
4x +x + 98 + 162 = 360
5x + 260 = 360
5x = 100
X = 100/5
X = 20
Answer:
Option B
Step-by-step explanation:
Taking the derivative of the residual function, then applying the normal equation:
[a; b] = (X'*X)^(X'*y)
with
X = [1 1; 2 1; 3 1; 4 1; 5 1]
X' is transpose of X
y = [11; 8; 4; 1; 0]
[a; b] = [-2.9 13.5]
Answer: Our required probability would be 0.9641.
Step-by-step explanation:
Since we have given that
Number of hours he works a day = 8
So, Number of minutes he worked in a day = 
Number of calls = 220
So, Average 
Standard deviation 
Mean = μ = 2.0 minutes
Standard deviation = σ = 1.5 minutes
Using the normal distribution, we get that
So, the probability that Albert will meet or exceed his quota would be
Hence, our required probability would be 0.9641.
Answer:
39
Step-by-step explanation:
Let the number of green apples bought be x
Green apples = x
Red apples = 2x
Yellow apples = 1/3 (2x) = 2/3 x
Total = 22 apples
x + 2x + 2/3 x = 22
11/3 x = 22
11x = 66
x = 6
Green apples = x = 6
Red apples = 2x = 2(6) = 12
Yellow apples = 2/3 (2x) = 2/3 (6) = 4
Answer: Green = 6, Red = 12, Yellow = 4
