Answer:
The angle for each slice is 45 degrees.
Step-by-step explanation:
In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:
pizza area = pi*r²
r = d / 2 = 14 /2 = 7 inches
pizza area = pi*(7)² = 153.86 square inches
Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:
slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches
Each slice is a circle sector, therefore it's area is given by:
slice area = (angle*pi*r²)/360
Therefore we can solve for angle:
19.2325 = (angle*pi*7²)/360
angle*pi*49 = 6923.7
angle = 6923.7 / pi*49 = 45 degrees
The angle for each slice is 45 degrees.
Answer:
11.886
Step-by-step explanation:
Given :
Applying formula
So,
Answer will be 11.886
Answer:
The probability that occurrence of 8 in ten minutes is 0.0771.
Step-by-step explanation:
Poisson Distribution:
A discrete random variable X having the enumerable set {0,1,2,.....} as the spectrum, is said to have Poisson distribution with parameter 
(>0), if the p.m.f is given by
for x=0,1,2,...
= 0, elsewhere
The mean number of occurrences in ten minutes is 5.3.
Here = 5.3 and x= 8
=0.0771
The probability that occurrence of 8 in ten minutes is 0.0771.
The correct answer is 15:25
Answer
No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.
