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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We can multiple this binomial and this trinomial to find an equivalent expression.
(x + 4)(3x^2 + 2x)
3x^3 + 2x^2 + 12x^2 + 8x
Combine like terms.
3x^3 + 14x^2 + 8x is the equivalent polynomial.
264 jumps in 4 minutes
132 jumps in 2 minutes
66 jumps in 1 minute
Answer:
Anchorage was colder, because in Minneapolis it was -12 degrees, and in Anchorage it was -21 degrees, and 21 is more than 12.
This question has to do with slope. If two lines share the same slope but different points, then there are parallel. If their slopes are negative reciprocals (like -2 and 1/2), then they are perpendicular.
y = 3x - 7 and y = 3x + 1 have different points but both have a slope of 3, where y = mx+b,
m = slope. Therefore these two lines are parallel.
