Step-by-step explanation:
angle AOB = x+3
angle AOC = 2x + 11
angle BOC = 4x-7
angle AOC = angle AOB + angle BOC
=> 2x +11 = (x+3) + (4x-7)
2x +11 = 5x - 4
=> 3x = 15
x = 5
subst x = 5 in the given formulas
angle AOB = x +3 =8
angle AOC = 2x + 11 = 21
angle BOC = 4x - 7 = 13
Answer:
100.544m
Step-by-step explanation:
Surface area of a cylinder = 2pie x rh + 2pie x r² where pie = 3.142
Therefore, (2x3.142x2x6) + (2x3.142x2²) =100.544m
Answer:
dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
According to the Question,
- Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.
Thus, The events A, B and A∩B are:
A - Jane will go to a ballgame on Monday;
B - Kate will go to a ballgame on Monday;
A∩B - Kate and Jane both go to the ballgame on Monday.
- P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.
- Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52
So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Since y + x = 3, then we could say one of them equals 2 while the other is 1. y - x = 1, then we can say 3 - 1 = 2, so y would be 2 and x would be 1
