Answer:
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Answer:
Chebyshev's theorem guarantees that we will find at least approximately 89 % of the choir members between 46 and 70 inches.
Step-by-step explanation:
Chebyshev's Theorem states that, in a sample:
75% of the measures are within 2 standard deviations of the mean
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 58
Standard deviation = 4
Between what two heights does Chebyshev's Theorem guarantee that we will find at least approximately 89 % of the choir members?
Within 3 standard deviations the mean, so from 3 standard deviations below the mean to 3 standard deviations above the mean.
3 standard deviations below the mean
58 - 3*4 = 46
3 standard deviations above the mean
58 + 3*4 = 70
Chebyshev's theorem guarantees that we will find at least approximately 89 % of the choir members between 46 and 70 inches.
Answer:
B (2, 4)
Step-by-step explanation:
A (-1,-9); M (0.5, -2.5); B (xB, yB)
M is the midpoint of AB, therefore we have these 2 equations:
(*) xA + xB = 2. xM
(**) yA + yB = 2. yM
(*) <=> xB = 2. xM - xA = 2x0.5 - (-1) = 1 + 1 = 2
(**) <=> yB = 2. yM - yA = 2x(-2.5) - (-9) = -5 + 9 = 4
So, B (2, 4)
Let
x-------> the number of hours
y------> the temperature in degrees Fahrenheit
we know that
For
For
The domain of the function is the interval---------->
The range of the function is the interval---------->
therefore
<u>the answer is</u>
The domain is all real numbers 0 through 30
Answer:
y=-30x+450
if she reads 30 pages every day it will take 15 days