²⁰¹²C₂₀₁₁ = (2012)! / [(2011)! (2012-2011)!]
²⁰¹²C₂₀₁₁ = (2012)! / [(2011)! (1)!]
Simplify 2012! / (2011)! = 2012
²⁰¹²C₂₀₁₁ = (2012)! / (1)! = 2012
Answer:
Step-by-step explanation:
Hello!
You have a sample of 200 people, they were asked their primary source of news, categorized in (1) Television, (2) Radio, (3) Internet and (4) Other.
And your objective is to test if the proportions in this sample follow the known frequencies 10%, 30%, 50%, and 10%.
The propper statistic test to use to probe if the sample follows the known or historical distribution is Chi-Square goodness of fit test. In this test, what you state in the null hypothesis is the model or distribution you want to test. In this case, you've to write down the proportions for each category:
H₀: P(1)= 0.10; P(2)= 0.30; P(3)= 0.50; P(4)= 0.10
I hope you have a SUPER day!
Answer:
(a)
(b)
Step-by-step explanation:
Alphaville's Budget Surplus Model is 
Betaville's Budget Surplus Model is 
We want to determine the expression that shows how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue.
- To do this, we subtract Betaville's Model from Alphaville's model.

Opening the brackets

Collect like terms and simplify

The expression that shows how much greater Alphaville's Budget is:

(b) If the tax revenue that year in each town is $75,000
We want to evaluate the expression derived above when the tax revenue that year in each town is $75,000 i.e.at x=75000

To find the total price, we use this equation:
42 + 0.039(42)
We can make it simpler:
1.039(42)
Multiply:
43.638
Because we're rounding
The total price is $43.64