Answer:
x=1.818minutes
Step-by-step explanation:
3/60 miles per minute for walk
8/60 miles per minute for run
0.05x + 0.1333y=1
x+y=10
x=y-10
0.05(y-10) + 0.133333y = 1
0.05y-0.5+0.133333y=1
0.18333y=1.5
y=8.18minutes
x=10-8.18
x=1.818minutes
Answer:
Second step: 2/2 does not give you 2.
It would be 2x + 1 - 4 = 3x - 3
Since he mess up on the second step, the following steps are also messed up
Step-by-step explanation:
We need to show whether

or

so we'll do either one of them,
we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

we can also write it as:

now all we have to do is to make x the subject of the equation.



now we'll interchange the variables

this is the inverse of f(x)

and it does equal to g(x)

Hence, both functions are inverse of each other!
This can be shown graphically too:
we can see that both functions are reflections of each other about the line y=x.
Answer:
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the difference between population means is:

The information provided is as follows:

The critical value of <em>z</em> for 98% confidence level is,

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:


Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).
Domain is all real numbers.
Range is all real numbers geater than 0