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An insect flies on a spiral trajectory such that its polar coordinates at time t are given by
r = beπt, θ=πt,
where b and Ω are positive constants. Find the velocity and acceleration vectors of the insect at time t, and show that the angle between these vectors is always π/4.
a certain segment of the sky contains z starts. each star is either a red giant with probability 13 or a white dwarf
Suppose an unfair coin comes up tails 42% of the time if it is flipped. If the coin is flipped 13 times, what is the probability that?
A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 50% of the questions correct.
what do you conclude about the claim below? do not use formal procedures or exact calculations. use only the rare event
When a chip fabrication facility is operating normally, the lifetime of a microchip operated at temperature T , measured in degrees Celsius, is given by an exponential (λ) random variable X with expected value E[X] = 1/λ = (200/T )2 years.
A manufacturer claims that the mean lifetime, mean, of its light bulbs is 52 months. The standard deviation of these lifetimes is 7 months. Ninety bulbs are selected at random, and their mean lifetime is found to be 55 months.
the true mean breaking strength of yarn used in manufacturing drapery material is required to be above 100 psi. from
there is a class of 50 people answering a question each student has a 60 chance of getting the correct answer. let x
testing for population mean.the average fee charged by a large accounting firm to prepare an individual income tax
The results shown below are mean productivity measurements (average number of assemblies completed per hour) for a random sample of workers at each of three plants.
The company is contemplat ing the proportion of surveys that customers will ac tually return. It is known from considerable past experience with these types of surveys that the expected proportion of returned surveys is equal to .40, with a var..
describe the set of assumptions that you need to make in the application of linear programming
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