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A 12.7 ft tall statue standing next to a baby elephant casts a 55.9 ft shadow. If the baby elephant is 4.9 ft tall, then how long is its shadow?
Suppose that a Bayesian spam filter is trained on a set of 500 spam messages and 200 messages that are not spam. The word "exciting" appears in 40 spam message.
When the given net is folded into a cube, what faces are opposite each other? What is the sum of each pair of opposite faces?
Find all maximum points, minimum points and points of inflexion, using differentiation techniques, for the function f(x) = x3 - 9x2 - 48x + 52.
find two vectors in H whose sum is not in H, or find a vector in H with a scalar multiple that is not in H. Draw a picture.)
Objective questions on regression
A Model boat has a length span of 20cm. The real length is 4cm. Find the scale of the model?
?Using the same equation from #5, you have traveled 25 miles in 2 minutes and come to a standstill. What was your initial velocity? (This time, final velocity is 0 miles/hour.)
How are direct and inverse variation used in everyday life? Provide examples for each. What is a rational expression? What steps do you use to solve rational equations? Give an example and explain.
In a binary tree with exactly 15 internal nodes, 10 of them have 2 children, and the other 5 have 1 child. How many leaf nodes are there in the tree.
By looking at two linear equations, how can you tell that the corresponding lines are parallel, intersecting, or the same line? Please give example.
INTEREST-RATE PREDICTION A panel of 50 economists was asked to predict the average prime interest rate for the upcoming year.
Consider the path r(t)=(6t,3t2,3lnt) defined for t>0. Find the length of the curve between the points (6,3,0) and (12,12,3ln(2)).
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