I have no idea how to graph g(x)..or why f(x) is relevant..... Steps would be helpful!! I got a final twomorrow ;-;
1 answer:
When you derive a function from another using the transformation
you're translating the graph of the parent function f(x) horizontally.
More specifically, you translate the graph k units to the left if k is positive, k units to the right if k in negative.
So, starting from the graph of f(x), you have that the graph of
is the same graph of f(x), but shifted 3 units to the left.
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Answer:
Option <em>B</em> is not the most common correct choice.
Step-by-step explanation:
The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.
The probability that any of these five option is the correct answer is:
A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.
The results showed that 90 of the 400 questions having B as the answer.
To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:
<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.
<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.
Compute the sample proportion as follows:
The test statistic is:
The test statistic is 1.25.
Decision rule:
If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
Compute the <em>p</em>-value as follows:
*Use a <em>z</em>-table.
The <em>p</em>-value is 0.1057.
The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.
Hence, it can be concluded that option <em>B</em> is not the most common correct choice.
Answer:
The minimum distance (perihelion) of Uranus from the sun is 2,749,040,972.
Step-by-step explanation:
Consider the provided information.
The length of the half of the major axis is 2,876,769,540 kilometers, and the eccentricity is 0.0444.
The eccentricity (e) of an ellipse is the ratio of the distance from the center to the foci (c) and the distance from the center to the vertices (a).
Substitute a = 2,876,769,540 and e = 0.0444 in above formula and solve for c.
Minimum distance of Uranus from the sun is:
Hence, the minimum distance (perihelion) of Uranus from the sun is 2,749,040,972.