Answer:
DF = 458
Step-by-step explanation:
In statistics, T-test have an extensive application. T-tests are used in hypothesis testing or inference about the population mean when the population standard deviation is not known. Nevertheless, they are used in making inference in paired samples or dependent samples t-test as well as independent samples.
The degrees of freedom, DF, is a characteristic of the student's t distribution which is used in T-tests. In a simple T-test;
DF = n - 1
where n is the sample size
Given n is 459, DF = 459 - 1 = 458
Therefore, DF = 458
Answer:
The slope is $0.35/min and it gives the cost per minute of the phone used.
Step-by-step explanation:
We can model this situation with a linear equation of the form

where
is monthly cost,
is the number of minutes,
is the flat monthly fee, and
is the slope of the equation, or in our case, the amount of money charged per minute.
The slope
is

,
in other words, the phone company charges $0.5 per minute.
With the slope in hand, the linear equation becomes
,
and we can find the monthly fee
from that fact that for 300 minutes the cost is $131:

.
Therefore,

where the slope if the equation give the cost per minute of the phone used.
Answer:
draw a square using only 16 squares representing the area, so 8 by 8 by 8 by 8
Answer:
James will end up with his original t cars and half of (t+13) cars, so will have ...
... t + (t+13/2) = (3t +13)/2 . . . . cars James has after Paul's gift
Step-by-step explanation:
Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.
In this problem, the order in which the flags are visited is important, hence the <em>permutation formula</em> is used to solve this question.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:

The first flag is blue, then the remaining 7 are taken from a set of 14, hence:

There are 17,297,280 different signals consisting of 8 flags.
More can be learned about the permutation formula at brainly.com/question/25925367