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For a specific truck traveling at 50 miles per hour (mph), the distance x required to brake to a complete stop is normally distributed with a mean of 120 feet and a standard deviation of 12 feet. Suppose that this truck is traveling at a constant speed of 50 mph and a car abruptly moves into the path of the truck and stops at a distance of 150 feet from the truck. Assuming that the only way to avoid a collision is for the truck to brake to a complete stop, what is the probability that there will be a collision? Round your answer to 4 decimal places. Remember to round all z values to two decimal places.
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity and inflection.
what polynomial represents the total surface area of a rectangular solid with sides being 2x. x, 3x. What polynomial represents the volume?
The demand equation for a product is p = 45 - .01q. Write the revenue as a function of q and find the quantity that maximizes revenue. What price corresponds to this quantity? What is the total revenue at this price?
Give the critical region, test statistic value, & conclusion for the F test.
use a combinatorial proof to show the summation of k=0 to the P elements- (n/p) (m/[p-k])=([n+m]/p)
Determine the coefficients of the function if the coordinates of the vertex of the parabola are the ordered pair (-100,-5000) and the fixed cost is $5000. Determine the domain and range of the variables, is the vertix a minimum or a maximum, why?
Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the direct line path joining these points. Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the horizontal semicircular path joining these poi..
A factory employs several thousand workers, of whom 20% are Hispanic. If the 20 members of the union executive committee were chosen from the workers at random, the number of Hispanics on the committee would have the binomial distribution with n =..
Where t is the number of years after January 1, 1998 and C(t) is the number of conncections in millions.
Of the 58200 verterinarians in private practice in the u.s. approximately 27354 are female. Determine the percent of female veterinarians in private practice in the u.s.
what will happen to the volume of a cube with a side measurement of 6cm if its length is double? note the cube retain its shape.
If the price is raised to $110 you predict that you can sell 25 of these premium toasters at your Scottsdale, Arizona location. Find the equation of the line and you can write your answer in the following form: p = mx + b.
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