Answer:

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Step-by-step explanation:
The estimated proportion of interest is 
We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by
and
.
And the critical value is:
The confidence interval for the true population proportion is interest is given by this formula:

Replacing the values provided we got:

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Answer:
Supplementary angles; 148°
Step-by-step explanation:
180° - 32° = 148° (supplementary angles)
Answer:
0.077
Step-by-step explanation:
From the table :
Number of students aged 31 - 35 = 60
Number of students over 35 = 26
Total number of students = total possible outcomes = 1123
Required outcome = (students aged 31 - 35) + over 35 = 60 + 26 = 86
Probability = required outcome / Total possible outcomes
Probability (at least 31) = 86 / 1123 = 0.0765
= 0.077 (3 decimal places)
Here is the solution..x equals to √3..which is equals to 1.73205
Answer:
I think the answer is Option D, 135 degrees.
Since the angles of all of the octagon combined is 1080, divide that by 8 to get 135 which means that all 8 angles are 135 degrees.