A rectangle has vertices W(2,3), X(2,6), Y(7,6), and Z(7,3).
1 answer:
Answer:
Step-by-step explanation:
A rectangle has 4 sides.
2 of them are lengths and 3 of them are widths.
We can simply use coordinate geometry (without graphing) to find side lengths of the rectangle. We will use Distance Formula.
We can find all the 4 lengths by using Distance Formula from points:
W and X
X and Y
Y and Z
W and Z
Note, that we don't need to find all 4 of them individually, because 2 are lengths (same) and 2 are widths (same). Thus we can find
Distance of WX, which would be same as distance of YZ
also
Distance of XY which would be same as distance of WZ
<em><u>Note:</u></em> Distance Formula is where D is the distance, x_1, y_1 is the first coordinate points and x_2,y_2 is the second coordinate points
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Answer:
And we can find this probability like this:
And we can replace the values and we got:
Step-by-step explanation:
For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:
Y | 0 1 2 3 4
P(Y) | 0.005 0.114 0.429 0.381 0.071
And we want to find the following probability:
And we can find this probability like this:
And we can replace the values and we got: