244 - 165 = 79 . . . . one standard deviation
323 - 244 = 79 . . . . one standard deviation
The range of scores is ±1 standard deviation from the mean. The empirical rule says
68% of scores lie in that range.
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True. To solve for y you have to subtract 2 from both sides of the equation.
Answer:
The value of
is -30.
Step-by-step explanation:
Let
, we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots:
(1)
(2)
(3)
From (3) we find the least root:
![x = \sqrt [3]{\frac{8}{27}}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%5B3%5D%7B%5Cfrac%7B8%7D%7B27%7D%7D)

By (2) we have the value of
:


Answer:
D. The graph of function
is the graph of function
shifted 4 units to the left.
Step-by-step explanation:
the function
is composite function between
and
, then you can re-write
as:

The transformation happened in the input, then you have an horizontal shifted and how it's adding 4 units then you go "faster" and move to left the graph.
In the image you can see what's mean sum a constant in the
of a function.