Answer:
18 seconds
Step-by-step explanation:
8:10 = 4:5, 4+5 = 9, 9 x 2 = 18 seconds :D
This is how to solve the problem: "What is the transformations of f(x)=(x-2)^2-4"
Looking at the quadratic equation given,
f(x) = (x-2)^2 - 4
It's like seeing product of sum and difference of two squares.
(x-2)^2 - 4
[ (x-2) - 2 ] [ (x-2) + 2 ]
[ x - 2 - 2 ] [ x - 2 + 2 ]
[ x - 4 ] [ x ]
[ x^2 - 4x ]
So the final transformation of f(x) = (x-2)^2 -4 is f(x) = (x^2 - 4x).
In this way, we are able to show how a complicated equation to simple yet equal equation in quadratic form.
Answer:
The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).
Step-by-step explanation:
We have to calculate a 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams.
The sample 1 (Fiberglass), of size n1=26 has a mean of 33.4 and a standard deviation of 2.2.
The sample 2 (Carbon), of size n2=26 has a mean of 42.8 and a standard deviation of 4.3.
The difference between sample means is Md=-9.4.

The estimated standard error of the difference between means is computed using the formula:

The critical t-value for a 99% confidence interval is t=2.678.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).
(x) is an element of a real number. This means it could be an integer, fraction or irrational number.
* As x approaches infinity, y approaches infinity.
* As x approaches minus infinity, y approaches 0.
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Domain:
(x) is an element of a real number
Range:
y>0