Answer:
The zeros are x = 1 and x = 3
In the picture attached, the graph of the function is shown. The zeros are those points where h(x) intersect x-axis.
Step-by-step explanation:
Given the expression:
x² - 4x + 3
Rewrite -4x term:
x² - x - 3x + 3
Take x as common factor in the first terms, and -3 in the last terms:
x(x - 1) - 3(x - 1)
Take (x - 1) as common factor:
h(x) = (x - 1)(x - 3)
In this equation, x = 7.
In order to solve this you are going to need to use logarithmic functions. By taking a logarithm you can eliminate exponents.
First we're going to take the logarithm of both sides, which allows us to put the exponents in front of the terms.
(x + 2)Log5 = 9Log5
Now that we've done this, we can divide both sides by Log5 and eliminate that term.
x + 2 = 9
From here, we simply need to subtract in order to solve.
x = 7
A suitable probability calculator will show that probability to be .135905122.
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Your class extends from 1 standard deviation above the mean to 2 standard deviations above the mean. The empirical rule puts that probability at ...
... (1/2)(95% - 68%) ≈ 13.5%
The empirical rule tells you 68% of observations lie within 1 standard deviation of the mean, and 95% lie within 2 standard deviations. Then the number that lie between 1 and 2 standard deviations from the mean will be the difference of these values. You want the values in the region above the mean only, so you only want half the difference just described.
