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A sample of 151 is drawn from a population with a mean of 1000 oz and a known standard deviation of 348 oz.
Construct an 85% confidence interval around the sample mean.
A ball of radius 16 has a round hole of radius 8 drilled through its center. Find the volume of the resulting solid.
Determine the slope-intercept form of the line with x-intercept = -8 and y-intercept = -16 i.e. the line passes through the points (-8, 0) and (0, -16).
The state income tax on your business is $820 plus 0.08 times your profit. You made a profit of $64,860 last year. Find and explain the amount of income tax you paid last year.
Let G be finite abelian group with this property: For each positive integer m such that m | |G|, there are exactly m elements in G with order dividing m. Prove that G is cyclic.
You have 600 yards of fencing to build a rectanglular fence. You use a long straight wall to form one side to save fencing. What is the maximum possible area that can be enclosed?
Use the circle graph to solve the problem. A survey of the 8263 vehicles on the campus of State University yielded the following circle graph.
The owner of the Rancho Grande has 2972 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area..
Write a differential equation for the total quantity of dead leaves (per square centimeter) at time t.
Prove that a graph G is a forest if and only if every induced subgraph of G contains a vertex of degree at most 1.
What is seen in the histogram created for the heights of students in this class (include the shape)? Explain your answer.
The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?
a shipment of 150 television sets contains 3 defective units. Determine how many ways a vending company can buy three of these units and receive (a) no defective units, (b) all defective units and, (c) at least one good unit.
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