A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The correct option is D.
<h3>What is the Equation of a parabola?</h3>
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in form (x, y);
a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.
Since f(x) opens upwards and is wider than g(x), the value of a will be greater in f(x) then in g(x), also the value of a will be positive.
Further, the vertex of the graph is 3 units down from the origin, therefore, the f(x)=0.2x-3.
Hence, the correct option is D.
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Answer:
3.9366
Step-by-step explanation:
1.62 x 2.43
is just a notation way to say, "the nth term will be found by multiplying 2 times the term right before"
so, if you want to find the 27th term, just see what the 26th term is, 2 * "26th term value" and that's the 27th term
simply means, the first term in the geometric sequence
is a geometric sequnce, because is "multiplying something" to get to the next term, if it were adding something, it'd be an arithmetic sequence
so, we know the first term is 4, and the multiplier or "common ratio" is 2
is given in the
part
thus
Using the Empirical Rule, it is found that there is a 68% probability that a student scored between 66 and 82.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, considering the mean of 74 and the standard deviation of 8, we have that:
74 - 8 = 66
74 + 8 = 82.
Hence, there is a 68% probability that a student scored between 66 and 82.
More can be learned about the Empirical Rule at brainly.com/question/24537145