Answer: 1.5
Step-by-step explanation:Let the standard deviation of the shoe size be represented by ' ' and the mean shoe size be represented by ' = 7.5'. Also, the sizes of the shoe be represented by ' '. So, . Hence, the standard deviation of the shoe size data for the math class is 1.5.
Answer:
? Is 41 degrees
Step-by-step explanation:
SOH CAH TOA
Hypotenuse is 60
Adjacent is 45
Hypotenuse and adjacent - Cos
(Cos inverse to find the angle)
Cos(?) = a/h
Cos(?) = 45/60
Cos-(45/60) =?
? = 41.40962211
Hope this helps!
A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a relation in which NO two ordered pairs have the same first component and different second components.
The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.
The set of second components (y-coordinates) is the RANGE of the relation.
Part 1:
Domain: {-1, 1, 3, 6}
Range: {2, 2, 2, 2}
Part 2:
To determine whether the given relation represents a function, look at the given relation and ask yourself, “Does every first element (or input) correspond with EXACTLY ONE second element (or output)?”
Remember that a function can only take on 1 output for each input.
It helps to plot the points on the graph and perform the Vertical Line Test (VLT):
The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
As you can see in the attached screenshot, every vertical line drawn only has 1 point in it. This means that each x-value corresponds to exactly one y-value. The given relation passed the VLT. Therefore, the relation is a function.
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Answer:
ok
Step-by-step explanation:
Answer:
x ≈ 31.0°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanx =
=
, then
x =
(
) ≈ 31.0° ( to 1 dec. place )