Answer:
95% confidence interval for the true fraction p is (0.426, 0.488)
Step-by-step explanation:
Confidence Interval can be calculated using p±ME where
- p is the sample proportion (
- ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME=
where
- z is the corresponding statistic in 95% confidence level (1.96)
- p is the sample proportion (0.457)
- N is the sample size (1000)
then ME=
≈ 0.031
Then 95% confidence interval would be 0.457±0.031 or (0.426, 0.488)
Answer:
the volume of the cone would be approximately 490.09 m^3.
Step-by-step explanation:
The volume of a cone is pir^2h/3
So it would be pi*6^2*13/3
=pi*36*13/3
=pi*156
=490.09
Therefore, the volume of the cone would be approximately 490.09 m^3.
I hope this helped and have a good rest of your day!
Hello,
p="the point is in the first quadrant"
q=" its coordinates are positive"
Your theorem is p==>q
The converse of the theorem is q==>p
(if a point has its coordinates positive then he is in the first quadrant)
It has to be 438 because any number that is 5 or higher must be rounded up so 438 could be rounded up to 440
Answer:
Therefore, the inverse of given matrix is
Step-by-step explanation:
The inverse of a square matrix 
is 
such that
where I is the identity matrix.
Consider, ![A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%263%5C%5C3%266%5Cend%7Barray%7D%5Cright%5D)
Therefore, the inverse of given matrix is
