The bottom left graph since it is the only one tp go through -3 and go up 3/4
Answer:
X=1, P = 0.091
X=2, P = 0.124
X=3, P = 0.115
X=4, P = 0.378
X=5, P = 0.264
X=6, P = 0.028
Step-by-step explanation:
To calculate the probability distribution of X, first we have to define the sample space.
In this case X=1,2,3,4,5,6. This are the values that X can take.
The probability is calculated as equal to the relative frequency of each of the values.
For X=1, P = 364/4000 = 0.091
For X=2, P = 496/4000 = 0.124
For X=3, P = 460/4000 = 0.115
For X=4, P = 1512/4000 = 0.378
For X=5, P = 1056/4000 = 0.264
For X=6, P = 112/4000 = 0.028
Answer:
Step-by-step explanation:
I'll show you how to do the first one; the other are exactly the same, so pay attention.
The formula for arc length is
where θ is the central angle's measure. It just so happens that the measure of the central angle is the same as the measure of the arc it intercepts. Our arc shows a measure of 40°; this measure is NOT the same as the length. Measures are in degrees while length is in inches, or cm, or meters, etc. Going off that info, our central angle measures 40°. Filling in the formula and using 3.1415 for π:
. I'm going to reduce that fraction a bit (and I'll use the same reduction in the Area of a sector coming up next):
which makes
AL = 2.09 units. Now for Area of the Sector. The formula is almost identical, but instead uses the idea that the area of a circle is πr²:
where θ is, again, the measure of the central angle (which is the same as the measure of the arc it intercepts). Filling in:
which simplifies a bit to
. As you can see, the 9's cancel each other out, leaving you with
units²
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Find Sales Tax
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$33.92 - $32 = $1.92
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Find Sales Tax Rate
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