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Use a triple integral to find the volume of the given solids.
1.) The tetrahedron bounded by the coordinate planes and the plane
2x + 3y + 6z = 12
2.) The solid enclosed by the parabolas z = x^2 + y^2 and z= 0 and
x + z = 1
Digit probability A young girl gave a young man her phone number during a hurried parting. The young man remembers the 7 digits of her phone number
Calculate effect size.
Basic probability problems
Evaluate the speed of the cyclist algebraically and Find the height of the ball drop and the time taken to reach the ground.
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
Calculate the mean and variance of the new observations
Find the mean, median and standard deviation.
Important information about Probability and Events, Events A and B are mutually exclusive events defined on a common sample space. If P (A) = 0.4 and P(A or B) = 0.9, find P(B).
Probability questions with cards and unbiased dice, Suppose that you select two cards without replacement from an ordinary deck of playing cards.
Determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle - What length and width should the rectangle have so that its area is a maximum?
When graphing a linear inequality, how do you select the area (which side of the line) that is being represented (and has to be shaded) by the inequality?
Use augmented matrices
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