Answer:
The confidence interval for the proportion of students supporting the fee increase
( 0.77024, 0.81776)
Step-by-step explanation:
<u>Explanation:</u>
Given data a survey of an urban university (population of 25,450) showed that 883 of 1,112 students sampled supported a fee increase to fund improvements to the student recreation center.
Given sample size 'n' = 1112
Sample proportion 'p' = 
q = 1 - p = 1- 0.7940 = 0.206
<u>The 95% level of confidence intervals</u>
The confidence interval for the proportion of students supporting the fee increase

The Z-score at 95% level of significance =1.96

(0.7940-0.02376 , 0.7940+0.02376)
( 0.77024, 0.81776)
<u>Conclusion:</u>-
The confidence interval for the proportion of students supporting the fee increase
( 0.77024, 0.81776)
You can use the midpoint formulae as I have in the picture below
Answer:
6, 12, 18, 24, 30, <u>36</u>. 42, 46, 52, 58, 64,
7, 14, 21, 29, <u>36</u>
Your answer is 36.
Step-by-step explanation:
LCM means the multiple which the two numbers share with the least value. So, I just found the multiples of each number until I found the one which was common. If you would like me to explain this in more depth, tell me! I'd be glad to help.
Answer:

Step-by-step explanation:
In the given right triangle,
Measure of angle = x°
Opposite side of the angle = 12 units
Adjacent side of the angle = 6 units
By taking tangent ratio of the given angle,
tan(x°) = 
= 
= 2



The line is called the directrix. Here we have a vertical directrix, so a parabola sideways from usual.
Geometry is best done with squared distances. The squared distance from an arbitrary point (x,y) to the vertical line x=2 is

We equate that to the squared distance of (x,y) to the focus (-2,0):



We could call that done. A more standard form might be