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1. Two friends A and B go on a date and agree to meet at 7pm. Friend A is an impatient person and will scold b if A arrives before B and B arrives later than 7.15pm. Let X denote the number of minutes after 7pm that A arrives and Y denote the number of minutes after 7pm that B arrives. Assume that X and Y are independent and that they are both uniformly distributed on the interval (-30, 30). (a) Draw a graph with X and Y as the two axes and shade the region which represents the event that B will be scolded. (b) Hence, or otherwise, find the probability that B will be scolded.
Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages?
The regular supplier, company y charges $150 for the first 100 microchips and $2 for each microchip over this amount. The minimum order is 100 microchips. how much will it cost company x to purchase 2,0000 microchips from company y.
Chuck recives loans totaling $12000 from two banks. one bank charges 7.5% annual interest, and the second bank charges 6% annual interest. he paid $840 in total interest in one year. how much was loaned at each bank?
An initial population of 655 quail increases at an annual rate of 18%. Write an exponential function to model the quail population.
a rectangle is bounded by the x- and y- axes and the graph of y=6-x/2. What length and width should the rectangle have so that its area is a maximum?
compute the work required to compress a spring 3 more cm when it is already compressed 2 cm, assuming that the spring constant is k + 150 kg/s^2
A rocket is launched from atop a 115-foot cliff with an initial velocity of 133 ft/s.
1.a use the quadratic formula to determine to the nearest tenth the roots of the equation x2 6x - 2 0. see section 5.2
How many possible uniforms are there using one helmet, one jersey, and one pair of pants?
a bank wonders whether omitting the annual credit card fee for customers who charge at least 2500 in a year will
Compute the centripetal force acting on the body.
The shortlist consists of 7 men and 3 women. Because all the shortlisted applicants are considered to be equally qualified, the names of two of them are drawnn, one after the other at random, to be called for an interview.
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