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Your lamp uses 5 light bulbs to operate. Suppose that each bulb has a lifetime which is exponential with mean 1 year, that the lifetimes are independent random variables and that the lamp does not light if at least one of the bulbs is burnt.
What is the distribution of the time until the lamp stops working?
Calculate the coefficient of determination
From the top of a 175 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
Probability that a Randomly Selected American Lives in WA. Essay. According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The chart below summarizes the 2008 population for five U.S. States.
Identify the shape of these curves for the function below, where c and r are positive constants.
The resale value of a certain industrial machine decreases at a rate that depends on its age. When the machine is t years old, the rate at which its value is changing is -960e^-t/5 dollars per year.
Prove that the element K=k1+k2+....km is the center of the group ring R[G]. Let K1,....Kr be the conjugacy classes of G and for each Ki let Ki be the element of R[G] that is the sum of the members of Ki.
A building is 172 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 22 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
You are standing on a hotel balcony 30 feet up from the ground. You want to throw your key to someone standing outside the hotel on the ground. You throw it angled upward with an initial velocity of 55 ft/sec. Assume that the acceleration due to g..
Using a known Taylor series, find the first four nonzero terms of the Taylor series about 0 for ln(1-2y)
What type of growth pattern is represented here?
A fireplace arch is to be constructed in the shape of a semi ellipse. The opening is to have a height of 40 inches at the center and a width of 82 inches along the base.
Probabilities of deck of cards. A card is drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining a diamond or a card smaller than 5?
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