Given:
The function models the number of movie theaters in the United States t years after 1985.
To find:
The year in which the United States will have 35,000 movie theaters.
Solution:
We have,
Putting f(t)=35000, we get
Divide both sides by 750.
It means, United States will have 35,000 movie theaters 20 years after 1985.
Therefore, United States will have 35,000 movie theaters is 2005.
Answer:
χ² = 6.75
χ² Critical = 11.07
Step-by-step explanation:
Given the data :
Expected winnings ;
1/n * total number of wins
Total number of wins = 240
n = number of starting positions = 6
Expected winnings = 1/6 * 240 = 40
Using χ² test :
χ² = Σ(O - E)² / E
O = Observed ; E = Expected
χ² = (32 - 40)^2 / 40 + (33 - 40)^2 / 40 + (45 - 40)^2 / 40 + (44 - 40)^2 / 40 + (50 - 40)^2 / 40 + (36 - 40)^2 / 40
= 6.75
χ² Critical at α = 0.05 ; df = n - 1 ; df = 5
χ² Critical = 11.07
Since χ² < χ² Critical ; WE fail to reject H0.
