Notice that for implies that elsewhere, since
where is a random variable representing cable lengths according to the PDF .
a. By definition of expectation, the mean is
The variance is
where
so that the variance is , making the standard deviation .
b. The proportion of cables within specs is
The standard deviation is 1 14.3-13.3 = 1 15.3-14.3 = 1
Answer:
The mean is 2.
The interquartile range is also 2.
Step-by-step explanation:
Sorry if it's wrong.
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To find the vertex of the parabola, we need to write it in a vertex form.
y=x² - 8x +12
1) complete the square
y=
x² - 8x +12
y =
x² -2*4x + 4² - 4² +12
y=
(x-4)² -16 +12
2) calculate and write a vertex
y=
(x-4)² -16 +12
y=
(x-4)² - 4
(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)²
- 4 -------y- coordinate of the vertex y = - 4 Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.
Answer:
21/56 in simplest form is 3/8
Step-by-step explanation: