Substitute 
, so that 
. Then the ODE is equivalent to
which is separable as
Split the left side into partial fractions,
so that integrating both sides is trivial and we get
Given the initial condition 
, we find
so that the ODE has the particular solution,
Henrietta solved a rational equation by multiplying both sides by 
.She did not find the least common multiple of the denominators .If she had find the least common denominator which is 3x(x+2) then the question can have been simplified in more simpler form.
Henrietta can have got rid of denominator and then use the distributive rule .
So the first option
A:She could use the least common multiple of the denominator is right
Answer:
We want to divide 30 by it's half.
The half of 30 is 30/2 = 15
then we have: 30/15 = 2
Now we want to add the half of 18, that has ben divided by the half of the half of 12 hafter been divided by half.
The half of 12 is 12/2 = 6
the half of the half of 12 is 6/2 = 3
now, we wanto to divide the half of 18 by that number.
The half of 18 is 18/2 = 9
then we have 9/3 = 3
and we wanted to add this to the number previous found:
2 + 3 = 5
Answer:
The objective of the confidence interval is to give a range in which the real mean of the population is placed, with a degree of confidence given by the level of significance.
The conclusion we can make is that there is 95% of probability that the mean of the population (professor's average salary) is within $99,881 and $171,172.
Step-by-step explanation:
This is a case in which, from a sample os size n=16, a confidence interval is constructed.
The objective of the confidence interval is to give a range in which the real mean of the population is placed, with a degree of confidence given by the level of significance. In this case, the probability that the real mean is within the interval is 95%.
