The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches
(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work
Answer:
0.22268
Step-by-step explanation:
z-score is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work
At least means equal to or greater than 67 inches
z = 67 - 64.97/2.66
z = 0.76316
P-value from Z-Table:
P(x<67) = 0.77732
P(x>67) = 1 - P(x<67) = 0.22268
The probability that the selected woman will have a height of at least 67 inches is 0.22268
Answer:
See attachment
Step-by-step explanation:
F(x) is a parabola opening upward, while g(x) is a parabola facing downward.
So there needs to be a negative out front of the f(x) term. The negative will flip the parabola. That means the answer is either A or B
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After we flip the parabola, we need to translate the vertex (0,0) to the point (2,1) so that it matches up with the vertex of g(x)
To move from (0,0) to (2,1) we shift 2 units to the right and 1 unit up.
To move 2 units to the right, replace 'x' with 'x-2'
To move 1 unit up, you tack on a "+1"
So f(x) turns into -f(x) and then we replace the x with x-2 to get -f(x-2). Finally we tack on a "+1" to get -f(x-2)+1
The g(x) function is g(x) = -f(x-2)+1
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Therefore the final answer is choice B
If you would like to solve for x, you can do this using the following steps:
3x / 6 + 1 = 7
3x / 6 = 7 - 1
x/2 = 6 /*2
x = 6 * 2 = 12
The correct result would be x = 12.
The least common denominator is 30. :)