Answer:
(0.806, 0.839)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation.
This means that 
99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The answer is (0.806, 0.839)
Answer:
0.35 pounds in each cheesecake
Step-by-step explanation:
Number of individual blueberry cheesecakes = 15
Pounds of blueberries = 5 1/4 pounds
How many pounds of blueberries will be in each cheesecake if 5 1/4 pounds of blueberries are divided equally among them?
= 5 1/4 ÷ 15
= 21/4 ÷ 15
= 21/4 × 1/15
= (21*1)/(4*15)
= 21/60 pounds
Equivalent to 0.35 pounds in each cheesecake
The answer and workings are in the document below. Please open it up in a new window to see it in full.
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.