I need help ASAP please
2 answers:
Answer:
6
Step-by-step explanation:
2 was to solve this:
1. Definition of an Inverse Function.
A inverse function states that if we have a function f(x), by definition of a function,, we have ox and y values that map with each other. In an Inverse function, the x and y values will swap places so that y map to x.
implies that what value of x will give us 0. here it is 6.
The other way is to find the equation of f(x). We have a y intercept of 3, a negative slope. And the value of the slope is 1/2 so the equation in slope y intercept form.
y=-1/2x+3.
Then we apply rules for solving for inverse of functions.
- Swap x and y
x=-1/2y+3
- Solve for y
x-3=-1/2y
-2x+6=y
Now plug 0 in for x
0+6=6
so 6 is the value of inverse function.
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Answer:
The p-value of the test is 0.0041 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean cost has increased.
Step-by-step explanation:
The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $13,252. Test if the mean cost has increased.
At the null hypothesis, we test if the mean cost is still the same, that is:
At the alternative hypothesis, we test if the mean cost has increased, that is:
The test statistic is:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question
In which X is the sample mean, is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
13252 is tested at the null hypothesis:
This means that
The following year, a random sample of 20 two-year institutions had a mean of $15,560 and a standard deviation of $3500.
This means that
Value of the test statistic:
P-value of the test and decision:
The p-value of the test is found using a t-score calculator, with a right-tailed test, with 20-1 = 19 degrees of freedom and t = 2.95. Thus, the p-value of the test is 0.0041.
The p-value of the test is 0.0041 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean cost has increased.
