a. Your answer is correct.
b. Divide the given value of sigma by √n where n = sample size = 7. Then perform the same calculation you did for part a. The probabiilty is 0.4427.
union=( -2,-1,0,1,2,5,7,8) intersection= -1,1
Answer:
Step-by-step explanation:
I take it that this is some sort of ratio. Start by solving the brackets on the left.
Brackets: 1/3 - 1/10
Brackets: 10/30 - 3/30
Brackets: 7/30
Brackets^2: 49/900
Brackets^2 - 1/5: 49/900 - 180/900
Brackets^2 - 1/5: -131/900
(2/5)^2 = 4/25
The way this read, it should be

Which when you invert and multiply becomes

which finally becomes

Answer:
357.1573 (If you don't round)
Step-by-step explanation:
To find area of a rectangle is to multiply length by width, which in this situation would be 15 by 16.6, which is equal to 249. Next, we need to add this to the area of the semicircle. The area of a semicircle is equal to 1/2 * pi * radius^2 (Because a semicircle is half a circle and a circle's area is pi * radius^2). The radius is equal to half the diameter, which in this case is 16.6. 16.6/2 = 8.3, so the radius is 8.3. If we plug this into the equation, we get that 108.1573 is the area of the circle (If you use 3.14 as pi). 108.1573 + 249 is equal to 357.1573.