Answer:
k=-\frac{-6e+77}{4}
Step-by-step explanation:
Answer:
(A), (C) and (D).
Step-by-step explanation:
An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance
. (You can test this with any value of x and find that they all work!)
So to find the equations that have infinite solutions, we need to see which have the same exact sides.
have the same thing on each side:
, so this has infinite solutions.
does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1)
has the same thing on each side:
, so this has infinite solutions.
And finally,
has the same thing on each side:
, so it has infinite solutions.
Hope this helped!
Answer:
The 99% confidence interval for the proportion of athletes who graduate is (0.5309, 0.7323).
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
.
For this problem, we have 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 the proportion of athletes who graduate is (0.5309, 0.7323).