Answer:
The function (gof)(x) is;

Explanation:
Given the functions;

Solving for the function;

so, we have;

Therefore, the function (gof)(x) is;

1-2. The best estimate for the population mean would be sample mean of 60 gallons. Since we know that the sample mean is the best point of estimate. Since sample size n=16 is less than 25, we use the t distribution. Assume population from normal distribution.
3. Given a=0.1, the t (0.05, df = n – 1 = 15)=1.75
4. xbar ± t*s/vn = 60 ± 1.75*20/4 = ( 51.25, 68.75)
5. Since the interval include 63, it is reasonable.
Answer: FIRST OPTION
Step-by-step explanation:
To solve this problem you must apply the Intersecting Secant-Tangent Theorem. By definition, when a secant line and a tangent lline and a secant segment are drawn to a circle from an exterior point:

The total measure of the secant shown is:

If the radius is 7, then the diameter is:

Therefore:

You also know that:

Keeping the above on mind, you can substitute values and solve for x:

Answer:
(1,-1)
Step-by-step explanation:
If you try plugging in the numbers for x in the equation y > Ix + 1I - 1, you'll find the answer.
A whole bag of colored candles has 45 candles in it.
If 18 are red, then 27 are blue.
Blue: 27/45 = 3/5 = 0.6 = 60%
Red: 18/45 = 2/5 = 0.4 = 40%
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