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A rancher wants to fence in a rectangular area of 124416 square feet and then divide the enclosed area in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
Make a venn diagram: 25 students play soccer, 4 boys play soccer and baseball, 3 girls play soccer and baseball, 10 boys play baseball, 4 girls play baseball
Sampling distribution of sample mean- key informaiton. What is the probability that the sample mean will be between 28 and 46?
Use truth tables to prove that an implication is always equivalent to its contrapositive. Site an example where this is so. Use truth tables to prove that an implication may not be equivalent to its converse. Site an example where this is so.
Using the Quotient rule, find the gradient of the function:
A graph has six vertices, every two of which are joined by an edge. Each edge is colored red or white. Show that the graph contains a monochromatic triangle (a triangle all of whose vertices have the same color.) Is the result ttrue for a graph wi..
plane is flying at an altitude of 32,000 feet. The distance between the plane and a radio tower on the ground is 50,000 feet. What is the angle of depression between the plane and radio tower (round to 1 decimal place)?
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?
For your assignment this week, imagine that you will be building a shed in your back yard. The shed requires a cement foundation that is rectangular in shape.
Two tugboats are pulling a disabled speedboat into port with forces of 1240 pounds and 1480 pounds. The angle between these forces is 28.2 degrees. Find the direction and magnitude of the equilibrant.
For how many years will the field be contaminated? (Round your answer to the nearest tenth.)
A bank estimated the interest on the $100 debt from 1835 to 1995 to be $420 million. Find/estimate the interest rate the bank was using for 160 years, assuming interest is compounded annually.
An entrepreneur buys an apartment building with 40 units. The previous owner charged $240 per month for a single apartment and on average rented 32 apartments at that price.
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