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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.
Let R(t) be the field of rational functions. Answer the following (with proofs): If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
The region under the curve y = 3 tan2x from 0 to π/4 is rotated about the x-axis. Find the volume of the resulting solid. (in fraction form)
Using the window setting to make a graph.
To order meat to be grinded at the meat factory costs 1/10 of the meat as the fee. If you need 2 pounds of meat, how much meat will the meat factory have to grind?
Solve the system using elementary row operations on the equations of the augmented matrix. Follow the systematic elimination proceedure.
nicomachus defined a subcontrary proportion which occurs when in three terms the greatest is to the smallest as the
A 1.50 103 kg car starts from rest and accelerates uniformly to 19.4 m/s in 12.7 s. Assume that air resistance remains constant at 400 N during this time.
List and discuss the different properties, which will classify the group as a dihedral group of order 8.
The monthly incomes of trainees at a local mill are normally distributed with a mean of $1,100 and a standard deviation of $150. find the probability that a randomly selected employee earns less than $900 a month.
what are the Unigueness conditions for L1 norm space and why it does not applied very much.
An apache helicopter of enemy is flying along the path given by y= x2 +7. Find the nearest distance from where a soldier placed at (3,7) can shoot down the helicopter.
Consider the following elements of the vector space P3 of all polynomials of degree less than or equal to 3. p(x)= x-1, q(x)=x+x2, r(x)= 1+x2-x3
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