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- What two assumptions must be met when you are using the z test to test differences between two means? Can the sample standard deviations s1 and s2 be used in place of the population standard deviations σ1 and σ2?
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The assumption that needs to be made is1. The samples must be independent of each other. That is, there c...
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1. A projectile is fired upward from the ground with an initial velocity of 300 feet per
second. Neglecting air resistance, the height of the projectile at any time t can be
described by the polynomial function P(t) = 16t2
+ 300ta. Find the height of the projectile when t = 1 second.
b. Find the height of the projectile when t = 5 seconds.
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2. A board has length (3x4 + 6x2 18)
meters and width of 2x + 1 meters. The board is cut
into three pieces of the same length.
a. Find the length of each piece.
b. Find the area of each piece.
c. Find the area of the board before it is cut.
d. How is the area of each piece of the board related to the area of the board
before it is cut?
3. A cubic equation has zeros at 2,
1, and 3.
a. Write an equation for a polynomial function that meets the given conditions.
b. Draw the graph of a polynomial function that meets the given conditions.
4. Alice was having a conversation with her friend Trina, who had a discovery to share:
Pick any two integers. Look at the sum of their squares, the difference of their squares,
and twice the product of the two integers you chose. Those three numbers are the
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a. Write an equation that models this conjecture using the variables x and y.
b. Investigate this conjecture for at least three pairs of integers. Does her trick
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c. Use Trina’s trick to find an example of a right triangle in which all of the sides
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