(A) As noted earlier, ( 4 , 3 ) is a solution of the equation 3 x − 2 y = 6 Find three more solutions of this equation. Plot these solutions in a Cartesian coordinate system . What familiar geometric shape could be used to describe the solution set of this equation? (B) Repeat part (A) for the equation x = 2. (C) Repeat part (A) for the equation y = − 3.
(A) As noted earlier, ( 4 , 3 ) is a solution of the equation 3 x − 2 y = 6 Find three more solutions of this equation. Plot these solutions in a Cartesian coordinate system . What familiar geometric shape could be used to describe the solution set of this equation? (B) Repeat part (A) for the equation x = 2. (C) Repeat part (A) for the equation y = − 3.
(A) As noted earlier,
(
4
,
3
)
is a solution of the equation
3
x
−
2
y
=
6
Find three more solutions of this equation. Plot these solutions in a Cartesian coordinate system. What familiar geometric shape could be used to describe the solution set of this equation?
(B) Repeat part (A) for the equation
x
=
2.
(C) Repeat part (A) for the equation
y
=
−
3.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.
The Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000 households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of homes that will be burglarized in a year. Use the formula for Poisson distribution. What is the value of p, the probability of success, to four decimal places?
The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.
Chapter 1 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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