Answer:
Step-by-step explanation:
m = number of minutes
$ 8 monthly fee + 19 cents per minute
the expression for this is : 8 + 0.19m
$ 25 monthly fee and 14 cents per minute
the expression for this is : 25 + 0.14m
to find out when they will be equal, just set them equal to each other and solve for m, the number of minutes
8 + 0.19m = 25 + 0.14m .....subtract 0.14m from both sides
8 + 0.19m - 0.14m = 25......subtract 8 from both sides
0.19m - 0.14m = 25 - 8.....combine like terms
0.05m = 17...divide both sides by 0.05
m = 17 / 0.05
m = 340 <==== they are both the same at 340 minutes
I believe the answer is $45.75.
I hope this helps.
If you would like an explanation of how I got this, please reply.
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the mean is less than 56, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this: