Parameterize the ellipsoid using the augmented spherical coordinates:
Then the Jacobian for the change of coordinates is
which has determinant
Then the volume of the ellipsoid is given by
where
denotes the spaced contained by the ellipsoid. In particular, we have the definite integral and volume
Answer:
Approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956
Step-by-step explanation:
The formula to use to solve this question is called the Confidence Interval formula.
Confidence interval =
x ± z × ( σ/ (√n) )
Where:
x = the sample mean = 130
z = the z-value for 90% confidence = 1.645
σ = standard deviation = 7
n = sample size = 145
130 ± 1.645 × (7/√145)
130 ± 0.9562687005
130 - 0.9562687005 = 129.0437313
130 + 0.9562687005 = 130.9562687005
Therefore, approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956
your right! nobody/nothing on this beautiful earth is perfect. and to those who believe in god, he doesnt make mistakes, not at all. so even if your not p erfect, it doesnt make you a mistake, but be happy with who you are. life is short, much shorter than you think. so you too have an amazing day and be happy with what you have right now because life is something we can only live once, once our life is over, there isnt anothe chance. because you will go to the afterlife.
Answer:
<em>P=1620</em>
<em>Third option</em>
Step-by-step explanation:
<u>Horizontal Asymptotes</u>
A given function is said to have a horizontal asymptote in y=a, if:
Or,
For the given function, the population of the species of bird is given by
:
Where t is the time in years. To find the horizontal asymptote, we should compute both limits to check if they exist.
When t tends to plus infinity, P tends to 1620
.
The second asymptote is computed by:
When t tends to minus infinity, P tends to zero. Since the domain of P is 
, this asymptote is not valid, thus our only asymptote is
