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The coach of the Morton Valley Softball Team has 6 good hitters and 8 poor hitters. He chooses 3 hitters at random.
(a) In how many ways can he choose 2 good hitters and 1 poor hitter?
(b) In how many ways can he choose 3 good hitters?
(c) In how many ways can he choose at least 2 good hitters?
There are 4 half-lines which project out from the crossing point. Clearly mark which of the two half-lines constitute the answer to the absolute value equation. (Make the half-lines thicker and darker.)
Take the function u(x. y,z) = -x3 - 3xy2+ z2. Compute the Laplacian in 3D Cartesian coordinates. Convert the formula for u into a formula for u involving cylindrical polar coordinates.
What would your answers be if we considered the open balls B∈(ζ) for different values of ∈? What if we also thought about the balls for the the d2 metric?
A child in an airport is able to cover 376 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion.
Comparing wind chills. Use the formula from Exercise 107 to determine who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind.
How would you check polynomial division? Explain your answer. Explain, in your own words, the product rule of exponents. Why does it work? Give examples.
"Your friend is taking an algebra class that began on week after yours. How would you teach the multiplication of polynomials to him/her?"
What slope must each member of the family of straight lines that is perpendicular to the line 3y = 6x + 9 have?
Let B = . Find each of the following. You may use a calculator to replace hand calculation for row reduction and finding the characteristic polynomial. Show your work; don't just write down the answers.
Find the minimum average cost using algebra, and showing work. Graph the average cost on a suitable scale from 0 to 500 units, showing the minimum value.
According to the Alzheimer's Disease Education & Referral Center, 3% of Americans age 65 to 74 have Alzheimer's. A group of 12 people age 65 to 74 are selected at random.
the garica family has a budget. each month they use their income in the following manner 30 for food 25 for husehold
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