Answer:
90% confidence interval for the true proportion of air travelers who prefer the window seat is (0.575, 0.625)
Step-by-step explanation:
We have the following data:
Sample size = n = 1000
Proportion of travelers who prefer window seat = p = 60%
Standard Error = SE = 0.015
We need to construct a 90% confidence interval for the proportion of travelers who prefer window seat. Therefore, we will use One-sample z test about population proportion for constructing the confidence interval. The formula to calculate the confidence interval is:
Since, standard error is calculated as:
Re-writing the formula of confidence interval:
Here, 
is the critical value for 90% confidence interval. From the z-table this value comes out to be 1.645.
Substituting all the values in the formula gives us:
Therefore, the 90% confidence interval for the true proportion of air travelers who prefer the window seat is (0.575, 0.625)
Using division, you will find that -1/9 continues on and on forever with no end, so you can mark this by drawing a line over the last repeating number
Answer:
The common ratio of the geometric sequence is:
Step-by-step explanation:
A geometric sequence has a constant ratio 'r' and is defined by
where
Given the sequence
Compute the ratios of all the adjacent terms: 
The ratio of all the adjacent terms is the same and equal to
Therefore, the common ratio of the geometric sequence is:
Answer:
x>-39
Step-by-step explanation:
-4x/-4=x
-4/-4=1
1-40=-39
Cross mutiply. 42*10= 420. 14*g= 14g
14g= 420
divide by 14 for both sides
14g/14= 420/14
g= 30
Check answer by using substitution method
42/30. Divide by 3 . 42/3= 14 , 30/3= 10
14/10 and 14/10 equal to each other by dividing 2.
14/2= 7 , 10/2= 5
7/5= 7/5
Answer: g= 30
