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A CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obtained only by surgery. Suppose that a CAT scan of a human liver shows cross-sections spaced 1.5 cm apart. The liver is 15 cm long and the cross-sectional areas, in square centimeters, are 0, 17, 58, 77, 95, 106, 118, 127, 64, 39, and 0. Use the Midpoint Rule with n = 5 to estimate the volume V of the liver. V = ?
In a certain population of people, 20% are blue-eyed and 80% are brown-eyed. Also, 6% of the blue-eyed people are left-handed and 14%of the brown-eyed people are left-handed.
If f is an automorphism of S_3, prove that there exists a sigma in S_3 such that f(tau)
Find the solution to the given system that satisfies the initial condition
Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set as demonstrated in the Instructor Guidance in the l..
Application of differential calculus in economics: Profit, Cost and Revenue function - What production level maximizes profit?
What is the decimal notation for the fraction 1/4? How can you show that 1/4 = 25/100? How can you write 5/16 as a decimal? How would you write 1/9 as a decimal?
If the vertices of quadrilateral PEAR are P(-3, 0), E(0, 4), A(5, -6), and R(-1, -4), show, using coordinate geometry, that quadrilateral PEAR is not an isosceles trapezoid.
There are six sections of Math with a total enrollment of one hundred and ninety nine students, what is the smallest possible number of students in the section with the largest enrollment?
Describe how you would calculate the odds of winning the jackpot. Do you think it is worth it to buy a ticket? Why or why not?
When the temperture stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 70 cubic inches of gas at a pressure of 14 pounds per square inch
Two balls are drawn (without replacement) from an urn that contains four red balls, five green balls, and seven white balls
Suppose a shock causes a unit damage to the machine with probability 0.1 and no damage with probability of 0.9. Successive shocks are independent. Suppose the damages are cumulative and the machine can withstand at most four units of damage
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