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A boat leaves a dock at 2pm and travels due south at a speed of 20km/h. Another boast has been heading due east at 15km/h and reaches the same dock at 3. at what time were the two boats closest together?
A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. if 35 students are randomly selected, find the probability that the mean of their test scores will be greater than 76.
A dilation has a scale factor of 1/4. What term best describes this type of dilation?
There are 1000 students in the senior class at a certain high school. The high school offers two advanced placement math / stat classes to seniors only:
A ball rebounds to one-third of the height it drops. If the ball is released 21 feet above the ground, what is the total distance traveled by the time the ball hits the ground the third time?
The rod satisfies the heat equation Ut = Uxx + f(x) and its ends are kept at zero temperature. Find the steady-state temperature.
In recession, congress decided to stimulate the economy by providing funds to hire unemployed workers for gov. projects. Suppose the t months after the stimulus programs have begun, there are N(t) thousand people unemployed, where:
A heavy rope, 30 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 70 ft high. How much work W is done in pulling half the rope to the top of the building?
A department store wants to test the claim that 40% of its customers browse the store's website prior to visiting the store using a random sample of 100 customers. If the desired level of significance is 0.05, what are the critical values for the ..
Suppose that a telemarketer uses random-digit dialing equipment to call three residential telephone numbers at random. There is a 20% chance of reaching a live person with each call, and the calls are independent. (i) What is the probability that ..
A region is bounded by y=5-x, the x axis and the y axis. Find the volume of the solid generated when the bounded region is revolved about the line x=-2. Also graph the bounded region.
A random sample of 48 days taken at a large hospital shows that averages of 38 patients were treated in the emergency room per day. The standard deviation for the population is four. Determine the 99% confidence interval of the mean number of patient..
Important information about Probability and combinations. Assume you have five cards are chosen from a standard deck of 52 playings cards. How many hands contain four aces?
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