(a) converges; consider the function <em>f(x)</em> = <em>a</em> ˣ, which converges to 0 as <em>x</em> gets large for |<em>a</em> | < 1. Then the limit is 2.
(b) converges; we have
4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)
As <em>n</em> gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.
(c) converges; we know ln(<em>n</em> ) → ∞ and arctan(<em>n</em> ) → <em>π</em>/2 as <em>n</em> → ∞. So the limit is <em>π</em>/2.
Answer:
The 3rd and the 5th
Step-by-step explanation:
The graphs of the 3rd and the 5th functions are straight lines
The 1st and 2nd are parabolas
The 4th is an exponential
You must look at the graph: it shall include all the real values for the y coordinate
100 * 0.75 / 15 = 5
0.75 is 15%
X Is 100%
Then you draw diagonal lines:
0.75 times 100
Then divided by 15 equals
The percentage of measurements which are below the 88th percentile could be expressed as 88%.
- The percentile of a distribution gives the percentage of the total distribution below a certain percentage value.
- The 25th Percentile refers to the percentage of values in the distribution below 25%
- Similary, 88th percentile gives the values which are below 88% of the values in the distribution.
Therefore, percentage of measurement below the 88th percentile is 88%
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Since Katie entered the number 15 and it displayed 9 the machine in this case is doing whatever number you put in -6 so it displayed 9 again when 23 is entered 23-6 = 17 and that is what displayed and again for 100 and 94 so the machine is taking 6 off each time.
A, The machine is taking 6 off each time.
if you enter 77 and 6 was taken off it would be 71 so 71
B, 71
