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The linear equation
y=0.15x+0.79
represents an estimate of the average cost of gas for year x starting in 1997 ("Consumer price index," 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9.
a. What year would be represented by x = 4? 2006
b. What x-value represents the year 2018?
c. What is the slope, or rate of change, of this equation?
d. What is the y-intercept?
e. What does the y-intercept represent?
f. Assuming this growth trend continues, what will the price of gasoline be in the year 2018? How did you arrive at your answer?
You are given the choice of three doors. Behind one is a new car and the others hide a barnyard animal for you to keep. After you choose door number one, your host (Monty) opens door three to reveal a goat
the mean of a normally distributed population is 400 pounds. the standard deviation is 10 pounds. What is the probability of selecting a value between the mean and 415 pounds?
The two steps in preparing chocolate candy bars are molding and packaging. Personal fatigue and delay allowances are set at 15%. The molding machine operator is rated at 110% and the packer is rated at 80%.
Felipe drove miles using gallons of gas. At this rate, how many gallons of gas would he need to drive miles?
De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.
The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the y-axis are equilateral triangles.
Find the supply and demand for particular value when supply and demand functions are given and How many videotapes are demanded at a price of $20?
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).
The form of augmented matrices.
Suppose that in a company with 775 employees, the monthly salaries are normally distributed. The mean salary is $6400 and the standard deviation is $800. About how many employees earn more than $4200 per month?
if the length of the hypotenuse of the right triangle is 10, find the lengths of the other sides when the area is maximum.
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