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Question: Prove that the centroid of any triangle is located at the point of intersection of the medians. [Hints: Place the axes so that the vertices are (a, 0), (0, b), and (c, 0). Recall that a median is a line segment from a vertex to the midpoint of the opposite side. Recall also that the medians intersect at a point two thirds of the way from each vertex (along the median) to the opposite side.]
Find the volume of a solid generated by revolving the region enclosed
An Airplane flies 410 miles with wind and 330 against wind in the same lengthof time. If speed of the wind is 20mph, What is the speed of the airplane in still air?
from a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by removing squares of area x^2 from each corner and turning up the sides.
What is a probability that 2 females and 1 male will be in a group? What is a probability of 3 females only?
An ATM personal identification number (PIN) consists of 4 digits. How many PIN's are possible?
Create your own unique quadratic equation in the form y = ax2 + bx + c that opens the same direction and shares one of the x-intercepts of the graph of y = x2 + 4x - 12. Determine the following. Use complete sentences and show all work to receive ..
southeastern bell stocks a certain switch connector at its central warehouse for supplying field service offices. the
if a one person household spends an average of $62 per week on groceries, find the maxiumum and minimum amounts spent per week for the middle 50% of one- person households. assume the standard deviation is $10 and the veriable is normally distribu..
What is the Null Hypothesis and what is the Alternative Hypothesis - what are the degrees of freedom for this test?
Let E and F be non-zero-probability events. If E and F are mutually-exclusive, can they also be independent?
Sheila made a scale drawing of a room. The actual room has a width of 44 feet and length of 77 feet. Her drawing has a length of 7 inches. What is the width of the scale drawing of the room?
Show that (Ac ∩ Bc)c = A ∪ B and (Ac ∪ Bc)c = A ∩ B. Consider rolling a six-sided die once.
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