Answer:

Step-by-step explanation:
Consider irght triangle PRS. By the Pythagorean theorem,

Thus,

Consider isosceles triangle MSC. In this triangle

The area of this triangle is

Consider right triangle PTS. The area of this triangle is

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

Answer:
-2
Step-by-step explanation:
I took the test :)
Answer:
23 pretzels
Step-by-step explanation:
The range value is obtained by taken the difference between the maximum and minimum values ;
The range = maximum - minimum
From the box and whisker plot attached ; the maximum value = 68
Minimum value = 45
Hence, the range in the number of pretzels :
68 - 45 = 23
Answer:
The 95% confidence interval for the population mean is between 61.5 and 68.5.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5
The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5
The 95% confidence interval for the population mean is between 61.5 and 68.5.
Answer:
Step-by-step explanation:
e34