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:
16
Step-by-step explanation:
3 |a-b| +2|b-1|
a= -2 and b=-4
3 |-2--4| +2|-4-1|
3 |-2+4| +2|-4-1|
3 |2| +2|-5|
Absolute value means takes whatever is inside and make it positive
3*2 +2*5
6 +10
16
Answer:
6 units long.
Step-by-step explanation:
Given:
A polygon drawn on a graph.
In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.
Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.
Coordinates of A are
as seen in the graph.
Coordinates of B are
as seen in the graph.
Now, distance formula for two points
is:

Therefore, the horizontal line at the top is 6 units long.
<h3>Solution:</h3>

<h3>Answer:</h3>

<h3>Hope it helps..</h3><h3>ray4918 here to help..</h3>
V = πr²h
V = (3.14)(5)²(16)
V = (3.14)(25)(16)
V = 1256
Hope this helps :)