a. Factorize the denominator:
Then we're looking for 
such that
If 
, then 
; if 
, then 
. So we have
as required.
b. Same setup as in (a):
We want to find 
such that
Quick aside: for the second term, since the denominator has degree 2, we should be looking for another constant 
such that the numerator of the second term is 
. We always want the polynomial in the numerator to have degree 1 less than the degree of the denominator. But we would end up determining 
anyway.
If 
, then 
; if 
, then 
. Expanding everything on the right then gives
which tells us 
and 
; in both cases, we get 
. Then
as required.
Answer:
1260 inches
Step-by-step explanation:
Calculator
Answer:
Approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean implies that there is a (1 - α) probability that the true value of the mean is included in the interval.
Or, the (1 - α)% confidence interval for the mean implies that there is (1 - α)% confidence or certainty that the true mean value is contained in the interval.
And, if 100 such (1 - α)% confidence interval for the mean are computed then 95 of these 100 interval will consist of the true mean value.
In this case it is provided that 100 researchers estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean.
Then approximately 95 of these 100 confidence intervals will capture the true mean hour of sleep freshman get at night. And approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Answer:
quarts of orange juice.
Step-by-step explanation:
Given:
Quarts of orange juice required for 6 quarts of punch = 
∴ Quarts of orange juice required for 1 quart of punch = 
Therefore, quarts of orange juice are required for one quart of punch.
Answer:
18m+20
Step-by-step explanation:
Hope this helps ya
