Answer:
The correct value is t* = 2.797.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a two-tailed confidence level of
. So we have T = 2.797.
We will see that g(x) is a reflection across the y-axis of f(x), then:

<h3>How to identify the function g(x)?</h3>
By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).
So we can write:
g(x) = f(-x)
Here we know that:

Then, replacing f(x) on the formula for g(x), we get:

That is the function g(x) shown in the figure.
If you want to learn more about transformations:
brainly.com/question/4289712
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Answer:
It would cost $160 for 15 people to rent the bowling alley
Step-by-step explanation:
First, let's identify what we know:
1) It costs $100, just to rent the bowling alley.
2) We have to add $4 dollars, for every extra person.
3) The total cost can be found by using the expression 100 + 4n = x (n equals number of people, x equals total cost, 100 equals intial rent charge, and 4 equals the charge for each individual person)
So, just input 15 into the equation!
100 + 4(15) = x
100 + 60 = x
x = $160
Answer: K = 6
Step-by-step explanation:
If you find the inverse of the inverse function, it will return back to initial function.
The inverse of r^-1 (x) will give r(x).
To find the inverse of r^-1(x), let it be equal to y. Interchange y and x for each other and make y the subject of formula. That is,
Y = 2x^2 - 14
Interchange y for x
X = 2y^2 - 14
2y^2 = x + 14
Y^2 = x/2 + 14/2
Square both side
Y = sqrt ( x/2 + 7 )
It is only when K = 6, that will can get the value above.