Answer:
The expected frequency for each category would be:
10.
Step-by-step explanation:
a) Data and Calculations:
Number of respondents = 30
Number of categories = 3
Political preferences (categories) = 3
Probability of each category or preference occurring = 1/3
Expected frequency for each category = 1/3 * 30 = 10
b) The expected frequency for each political category (political affiliation) can be calculated by multiplying the probability of each category (political preferences) by the number of respondents. Note that the expected frequency will be different from the observed frequency, which is the actual number of times that each category of political affiliations will be preferred.
You've got 19 numbers. Their sum is 10(1+2+3+...+19) or
. Divide that by 19, to get
10)
6y - 16 = 4y + 6
2y = 22
y = 11
11)
2x + 5x + 5 = 180
7x + 5 = 180
7x = 175
x = 25
When you write it as an inequality you get x + 19 ≈ 8.2 and when you solve it it should look like x + 19 ≈ 8.2
19 ≈ - <u>19
</u> x ≈ -10.8<u>
</u>
