Answer:
The confidence Interval = (0.329, 0.391)
Step-by-step explanation:
Formula for the Confidence Interval for proportion =
p ± z × √p(1 - p)/n
where
p = x/n
From the question
n = 900 people
x = 36% of 900 people
= 36/100 × 900
= 324
z = z score of 95% confidence Interval
z = 1.98
p = x/n
= 324/900
= 0.36
Confidence Interval = p ± z × √p(1 - p)/n
= 0.36 ± 1.96 × √0.36 (1 - 0.36)/900
= 0.36 ± 1.96 ×√0.36 (0.64)/900
= 0.36 ± 1.96 × √0.000256
= 0.36 ± 1.96 × 0.016
= 0.36 ± 0.03136
Confidence Interval = 0.36 ± 0.03136
= 0.36 - 0.03136
= 0.32864
Approximately to 3 decimal places = 0.329
= 0.36 + 0.03136
= 0.39136
Approximately to 3 decimal places = 0.391
Therefore, the 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws = (0.329, 0.391)
Answer:
x =2
SK = 21
KY = 13
SY = 34
Step-by-step explanation:
we can see from the picture the following:
SK + KY = SY equation 1
SK=13x-5 equation 2
KY = 2x+9 equation 3
SY = 36-x equation 4
using equation 2, equation 3 and equation 4 in equation 1 we have:
13x - 5 + 2x + 9 = 36-x
15x +4 = 36 - x
15x +x = 36-4
16x = 32
x = 32/16
x= 2
using x as 2 we evaluate it in equation 2, equation 3 and equation 4:
SK=13(2)-5 = 21
KY= 2(2) +9 = 13
SY = 36-2 = 34
Answer:
Step-by-step explanation:
Any number that times 17 is bigger than -17
The answer is 29. If you put it in an equation, it looks like 90=(x*3)+3. If you -3 from each side, you get 87=x*3. Divide each side by 3, and you get x=29.
