Chebyshev’s Theorem establishes that at least 1 - 1/k² of the population lie among k standard deviations from the mean.
This means that for k = 2, 1 - 1/4 = 0.75. In other words, 75% of the total population would be the percentage of healthy adults with body temperatures that are within 2standard deviations of the mean.
The maximum value of that range would be simply μ + 2s, where μ is the mean and s the standard deviation. In the same way, the minimum value would be μ - 2s:
maximum = μ + 2s = 98.16˚F + 2*0.56˚F = 99.28˚F
minimum = μ - 2s = 98.16˚F - 2*0.56˚F = 97.04˚F
In summary, at least 75% of the amount of healthy adults have a body temperature within 2 standard deviations of 98.16˚F, that is to say, a body temperature between 97.04˚F and 99.28˚F.
Answer:
Equation = X*(2/3) = 3/20
Solve for X = 0.23
Step-by-step explanation:
Let, the number be "X"
According to the question,
X*(2/3) = 3/20..........(i)
From equation (i), we can get,
X = (3/20)/(2/3)
or, X = 0.15/0.66
or, X = 0.23
Alternative way,
Let, the number be "X"
According to the question,
X*(2/3) = 3/20..........(i)
From equation (i), we can get,
X = (3/20)/(2/3)
or, X = (3/20)*(3/2)
or, X = 9/40
or, X = 0.23
We will calculate this by using ratios and because these two triangles are similar, which is very important.
Explanation:
We see that the FG = 9 corresponds to the VU = 21. Therefore, FH = 18 corresponds to the UW = x.
9 : 21 = 18 : x
x = (21*18)/9
x = 378/9
x = 42.
The correct answer is B. 42.
