Jon is selling tickets for the school talent show. On the 1st day, he sold 3 senior tickets and 12 child tickets for $195. On th
1 answer:
<h3>Question:</h3>
<em>Jon is selling tickets for the school talent show. On the 1st day, he sold 3 senior tickets and 12 child tickets for $195. On the 2nd day he sold 13 senior tickets for $299. Find the price of a senior citizen ticket.</em>
<h3>Answer:</h3>- $23
Create a system of equations to help you solve this problem. The system of equations will look like: 3s + 12c = 195 and 13s = 299. The variable s represents the cost of senior tickets and the variable c represents the cost of children tickets.
Solve the second equation for the variable s as this is the easiest way to solve the problem. Solve the second equation for s by dividing both sides of the equation by 13 to isolate the variable s.
s = 23
Since the question was only asking for the price of a senior citizen ticket, you are technically done. The first equation was only put there to confuse you or allow you to check your work if you needed to. The price of a senior citizen ticket (variable s) is $23.
You might be interested in
The two nominal variables are related.
The following table summarises the data from a survey on the ownership of iPods among families with different levels of income.
Ownership C1 C2 C3
No 40 32 48
Yes 30 48 52
The first thing to do in order to determine if they are related or not is to state our null and alternative hypothesis
Null hypothesis
Alternative hypothesis
Using the Chi-square test statistics which can be expressed by using the formula
Ownership C1 C2 C3 Total
No 40 32 48 120
Yes 30 48 52 130
Total 70 80 100 250
The expected values are calculated as:
∴ Using the Chi-square test statistics, we have:
The degree of freedom df = ((r - 1) × (c - 1))
= (3 - 1) (2 -1 )
= 2 × 1
= 2
∴
Assuming the level of significance = 5%
The p-value of the Chi-square test statistics at df of 2 is:
=
Therefore, we can conclude that since the p-value (0.111) is greater than the level of significance (0.05), we fail to reject the null hypothesis.
Hence, the two nominal variables are related.
Learn more about Chi-square test statistics here: