Express 5x²-15x+1 in the form p(x+q)²+r, where p,q,r ate constants
1 answer:
You might be interested in
Given:
Consider the file sizes (in megabytes) for 18 randomly selected files on Gabriel's mp3 player are shown in the below figure.
To find:
The outliers in the distribution.
Solution:
We have, the given data set
2.4, 2.7, 1.6 , 1.3 , 6.2, 1.3, 5.6, 1.1, 2.2, 1.9, 2.1, 4.4, 4.7, 3.0, 1.9, 2.5, 7.5, 5.0
Arrange the data in ascending order.
1.1, 1.3, 1.3, 1.6, 1.9, 1.9, 2.1, 2.2, 2.4, 2.5, 2.7, 3.0, 4.4, 4.7, 5.0, 5.6, 6.2, 7.5,
Divide the data in 4 equal parts.
(1.1, 1.3, 1.3, 1.6), 1.9, (1.9, 2.1, 2.2, 2.4),( 2.5, 2.7, 3.0, 4.4), 4.7, (5.0,5.6, 6.2, 7.5)
It is clear that,
Now,
All the data values lies in the interval [-2.3,8.9]. Therefore, the given data set have no outliers.
Answer:
The null hypothesis is , in which x is the proportion tested.
The alternative hypothesis is
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:
Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is: