We know that
if <span>the probability of hitting the blue circle is the same as the probability of hitting the green region
then
the area of the blue circle is equal to the area of the green region
Let
x----> diameter of the blue circle
area of the blue circle=pi*(x/2)</span>²----> (pi/4)*x² m²-----> equation 1
area of the green region=area of the larger circle-area of the blue circle
area of the green region=pi*(1/2)²-(pi/4)*x²
=(pi/4)-(pi/4)*x² m²----> equation 2
equate equation 1 and equation 2
(pi/4)*x²=(pi/4)-(pi/4)*x² -----> divide by (pi/4)---> x²=1-x²
2x²=1-----> x²=1/2----> x=1/√2-----> x=√2/2 m
the diameter of the blue circle is √2/2 m
Answer:
2 1/6
Step-by-step explanation:
4 1/3 divided by 2 =
13/3 x 1/2 = 13/6 = 2 1/6
hope this helped
Answer:
Step-by-step explanation:
Answer:
4. -1/2
5. 1
6. 1/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that X is a random variable representing the amount of sleep each adult in New York City got last night.
a) Normal distribution (by central limit theorem)
b) Sample mean will approach population mean mu
c) the standard deviation σx of the sampling distribution approach to σ/√n
d) The means are the same.
. The standard deviations are σ / √50 and σ / √100, respectively.
