<span>His two-way table contains data from a survey on the academic degrees earned by students in the United States in 2009.
</span>the relative frequency ofmale students earning an associates degree among all the males earning any degree in 2009 is : 0.23
Answer:
t ∈ ℝ
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
Percentile rank = (number of scores lower or equal to 82 / total number of scores) * 100%
Percentile = (8 / 10) * 100%
= 0.8 * 100%
= 80%
Answer:
A) see attached for a graph. Range: (-∞, 7]
B) asymptotes: x = 1, y = -2, y = -1
C) (x → -∞, y → -2), (x → ∞, y → -1)
Step-by-step explanation:
<h3>Part A</h3>
A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

This has a vertical asymptote at x=1, and a hole at x=2.
The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.
The graph is attached.
The range of the function is (-∞, 7].
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<h3>Part B</h3>
As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.
The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.
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<h3>Part C</h3>
The end behavior is defined by the horizontal asymptotes:
for x → -∞, y → -2
for x → ∞, y → -1
The question would help if there were a picture of the problem
however I can say that it should always add up to 180 and subtracted by the interior sum