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in math if the maximum # of people at a resort is 15000 and it drops to the minimum if 500 within 6 months what is the cosine equation that describes this function?
#51. A rental company charges $40.00 a day plus $0.35 per mile to rent a moving truck. The total cost, y, for a day's rental if x miles are driven is described by y=0.35x+40. A second company charges $36.00 a day plus $0.45 per mile, so the daily cost, y, if x miles are driven is described by y=0.45x+36. The graphs of the two equations are shown in the same rectangular coordinate system.
a. What is the x-coordinate of the intersection point of the graphs? Decribe what the x-coordinate means in practical terms.
To learn about how diet affects the chances of getting diverticular disease, 20
vegetarians, 6 of whom had the disease, were studied. The total daily dietary fiber
consumed by each of these individuals was determined, with the following results:
n=6, m=14, E(X)=26.8gr, E(Y)=42.5gr, Sd(X)=9.2gr, and Sd(Y)=9.5gr.
Test the hypothesis that the mean dietary fiber consumed daily is the same for the
population of vegetarians having diverticular disease and the population of
vegetarians who do not have this disease. Use the 5 percent level of significance.
Calculate Pvalue.
AJ AUCTION sells art drawings of little known artist at auction. The dealer is interested in the relationship between the final sale price ($) (Y) and the number of persons bidding on the drawing (X). A random sample of 20 drawing is selected.
Correlations (Pearson)
Correlation of salepric and bidders = 0.974
Regression Analysis
The regression equation is
salepric = 1008 + 324 bidders
Predictor Coef Stdev t ratio p
Constant 1007.6 214.5 4.70 0.000
bidders 324.11 17.90 18.11 0.000
s = 320.2 R sq = 94.8% R sq(adj) = 94.5%
Fit Stdev.Fit 95.0% C.I. 95.0% P.I.
4248.7 75.3 (4090.4, 4406.9) (3557.4, 4940.0)
Determine the index of determination and interpret this value.
using MacLaurin Series: by mutiplying the series sinx and cosx and mutiplying the answer by 2, show that sin2x= 2sinxcosx?
please help me as soon as possible( thank you)
A right circular cone is cut in half .The diameter of the base is 2r and the perpendicular height is h, By considering the volume of one slice of the half cone, and then summing all such slices, show from first principles that the volume is 1/6pi r^2h
Water is flowing at the rate of
50 m3min from a concrete conical reservoir (vertex down) of
base radius 45 m and height 6 m. (a) How fast is the water level
falling when the water is 5 m deep? (b) How fast is the radius of
the water’s surface changing at that moment? Give your answer
in cmmin.
Let us suppose that a function is twice differentiable on (a,b) and the second derivative is bounded. Prove that the function is uniformly continuous.
1.)Determine the vertices of a triangle whose sides have the mid-points (1,0), (2,-1), and (3,1).
2.)Two vertices of a triangle are (0,-6) and (4,0), and the medians intersect at (0,-2). find the third vertex of the triangle.
3.)If the area of a triangle with vertices (5,2),(x,4) and (0,-3) is 12/1/2, find x.
please help me with these questions. thank you
Probability Distributions of discrete Random Variables:
You set up a carnival booth at a local fund-raising event. The game consists of a giant six sided fair die and costs $3.00 per roll. If they roll a 6, they win a prize that costs $8.00. If they roll a 1, they win a prize that costs $2.50. Otherwise, they do not win anything. If you average 35 participants per hour for 8-hour event, how much money do you expect to raise during the event?
