Answer:
43.2°
Step-by-step explanation:
Just multiply .12 by 360° (the number of degrees in a circle), this will give you the central angle.
Multiplying the decimal means your finding 12.% of 360°
So the angle is 43.2° degrees
Answer:
4.3 cm
Step-by-step explanation:
By the theorem of intersecting secants outside of a circle.
Answer:
0.4375
Step-by-step explanation:
Lets say that X is the random varaible that determine the arrival time of Bob and Y the random variable that determine the arrival time of Alice. Bot X and Y are Independent random variables with uniform [0,1] distribution. 15 minutes is the quarter of an hour, so we want to calculate P(|X-Y|) < 0.25.
Note that P(|X-Y| < 0.25) = P(|X-Y| < 0.25 | X ≥ Y) * P(X≥ Y) + P(|X-Y| < 0.25 | Y ≥ X) * P(Y ≥ X) = P(X-Y < 0.25 | X ≥Y) * P(X≥Y) + P(Y-X < 0.25 | Y≥X)*P(Y ≥ X).
For a simmetry argument, that expression is equivalent to 2*P(Y-X < 0.25 | Y≥X)*P(Y ≥ X) = 2*P(0 < Y-X < 0.25). The region 0 < Y-X < 0.25 is, for X between 0 and 0.75, a parallelogram, of base 0.75 and height 0.25, and for X between 0.75 and 1, it is a Triangle of base and height equal to 0.25. Therefore P(0 < Y-X < 0.25) = 0.25*0.75 + 0.25² * 0.5 = 7/32. Hence 2*P(0 < Y-X < 0.25) = 14/32 = 0.4375.
They will meet for lunch with probability 0.4375
Answer:
The width of parking lot is 30 yards.
Step-by-step explanation:
Given that:
Area of rectangular parking lot = 1650 yards square
Length of parking lot = 55 yards
Width of parking lot = x yards
Area of rectangle is given by:
A = Length * Width
1650 = 55x
Dividing both sides by 55
Hence,
The width of parking lot is 30 yards.
