Answer:
The 99% confidence interval for p in this case is (0.3317, 0.5883).
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 
.
Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.
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 99% confidence interval for p in this case is (0.3317, 0.5883).
If we slice this down the middle and fit it together like a puzzle we'll get a rectangle base 9.6/2 and height 4.8+9 so area (9.6/2)(4.8+9) = 66.24 square units.
Choice d
Answer:
-5g
Step-by-step explanation:
Answer:
N = 10
Step-by-step explanation:
Normally the coordinate system goes:
x axis (horizontal)
y axis (vertical)
Here, we have:
Horizontal axis as "M", and
Vertical axis as "N"
We want to know what N will be when M equals 50.
So, we look at the x-axis and go to M equals 50.
Then we move up until the "trend line". The intersection.
If we move directly left to vertical axis (N variable), we see that it is at the point:
N = 10
So,
When M = 50, N = 10
The volume of a sphere is 4/3 * pi * r³ so substitute the values in
4/3 * pi * 2³
4/3 * pi * 8
32/3 * pi
The volume is either 32/3pi units³ or 33.49 units³ (they're the same value)
I hope this helps!
