We can estimate the expected value of the various percentiles assuming the normal distribution.
The median, 50th percentile, is the mean, 0.785 mm.
Typically we remember ±1 standard deviation is 68% of the probability, so one standard deviation below the mean is 16th percentile (50-68/2) and one standard deviation above the mean is 84th percentile.
The quartiles, 25th and 75th percentile, are about 2/3 of a standard deviation away from the mean. In other words ±.67 standard deviations is 50% of the probability. It's not a commonly remembered number like 68-95-99.7, but perhaps it should be.
The 25th percentile is 0.785 - (.67)(.07) = <span>0.7381 mm.
</span>The 75th percentile is 0.785 + (.67)(.07) = 0.8319 mm.
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I think the answer is 10 seconds, because 50+10=60/2=30. I'm not sure if that's right tho
Answer:
x^6
Step-by-step explanation:
Answer:
<u>Given function</u>
#15 Find the inverse of h(x)
<u>Substitute x with y and h(x) with x and solve for y:</u>
- x = 2y - 1
- 2y = x + 1
- y = 1/2x + 1/2
<u>The inverse is:</u>
#16 The graph with both lines is attached.
The x- and y-intercepts of both functions have reversed values.
#17 Table of the inverse function will contain same numbers with swapped domain and range.
<u>Initial look is like this:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | | 0 | | 1 | | 2
<u>The rest of the table is filled in by finding the values:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2
Well when you split something into thirds you get 1/3 or .3
