Answer:
1) 
2) 
Step-by-step explanation:
Given : A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.
To find : Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling an odd number. If there is more than one element in the set, separate them with commas ?
Solution :
A number cube with faces labeled from 1 to 6 will be rolled once.
The sample space describing all possible outcomes is given by
All of the outcomes for the event of rolling an odd number is given by
x = y^2 + 10y + 22
Divide 10 by 2 to give 5 which becaoses the second term in the parentheses
x = (y + 5)^2 - 25 + 22
x = (y + 5)^2 - 3 Answer.
Answer:
95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C
Step-by-step explanation:
The confidence interval for a proportion is given as [p +/- margin of error (E)]
p is sample proportion = 870/1,100 = 0.791
n is sample size = 1,100
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (z) at 5% significance level is 1.96.
E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024
Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767
Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815
95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.
Answer:
b6 2hich method
Step-by-step explanation:
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