The Central Limit Theorem is important in Statistics because: a. It tells us that large sample do not need to be selected b. It guarantees that, when it applies, the samples that are drawn are always randomly selected. c. It enables reasonably accurate probabilities to be determined (based on normal calculations) for events involving the sample average when the sample size is large enough, regardless of the distribution of the original variable d. It tells us that if several samples have provides sample averages which seem to be different than expected, the next sample average will likely be close it its expected value.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.