Answer: Choice B) One-sixth
In other words, the fraction 1/6
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Explanation:
The base, aka horizontal component, is 6 units long. Count out the spaces from -5 to 1 to get a result of 6.
Or you could subtract and use absolute value in either of these two ways
- |A - B| = |-5 - 1| = |-6| = 6
- |B - A| = |1 - (-5)| = |1 + 5| = |6| = 6
Where A = -5 and B = 1 are the endpoints mentioned. Absolute value is used to ensure the result of the subtraction isn't negative. Negative distance on a number line doesn't make sense.
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However you determine the base, we'll multiply it by the unknown height which we'll call h. This leads to the area of the rectangle. The area is 6h.
Rule: The area under a probability density curve must <u>always</u> be 1.
So the area 6h must be 1 which helps us see that...
6h = 1
h = 1/6
Divide both sides by 6 to isolate h fully.
Y = -8 and x/y = -4
x/-8= -4
-8(x/-8)= -8(-4)
x/1 = -32
x = -32
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Answer:
First, we can write a fraction as a/b
Where a is the numerator, and b is the denominator.
A proper fraction is a fraction where the numerator is smaller than the denominator.
Using only the given numbers (only once per fraction), some examples of proper fractions are:
3/5
3/8
5/8
3/85
3/58
5/83
5/38
8/35
8/53
You can see that in all of them the denominator is larger than the numerator.
The improper fractions are those where the numerator is equal or larger than the denominator.
The 9 examples using the given numbers are:
5/3
8/5
8/3
35/8
38/5
53/8
58/3
83/5
85/3
