Answer: 2.093
Step-by-step explanation:
As per give , we have
Sample size : n= 20
Degree of freedom : df= n-1=19
Significance level : 
Since , the sample size is small (n<30) so we use t-test.
For confidence interval , we find two-tailed test value.
Using students's t-critical value table,
Critical t-value : 
Thus, the critical value for the 95% confidence interval = 2.093
19% is 19/100 and there is nothing that can go into these numbers evenly so this is the simplest form
Answer:
<h2>181.33</h2>
Step-by-step explanation:
Since the base of the pyramid PABCD is a rectangle, the shape in question is a rectangular based pyramid. Volume of a rectangular based pyramid is expressed as V = 1/3 * Base Area * Height of the pyramid.
Given a rectangle ABCD with AB = 8 and BC = 4, the area of the rectangle will be equivalent to the base area of the pyramid.
Base Area = Length * Breadth
Base Area = AB * BC
Base Area = 8*4 = 32
If
, and PB = 17, then the height of the pyramid is PB = 17.
Volume of the pyramid = 1/3 * 32 * 17
Volume of the pyramid = 1/3 * 544
Volume of the rectangular based pyramid = 181.33
Answer:
x = 35 feet.
Step-by-step explanation:
Given that,
The height of the person is 5 feet.
The height of the flag and the eye is (x-5) feet.
We can calculate using trigonometry.

So, the value of x is equal to 35 feet. The correct option is (c).
Here is dependence between scores and x-values:

where
is the mean,
is standard deviation and i changes from 1 to 2.
1. When i=1,
then

2. When i=2,
then

Now solve the system of equations:


Subtract first equation from the second:

Then

Answer: the mean is 62, the standard deviation is 20.