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Suppose CUNY professors have an average life, normally distributed, of 80 years with a population standard deviation of 9 years.
a) What percent of CUNY professors will live more than 86 years?b) What percent of CUNY professors will not make it past the age of 50?c) Calculate the 96th percentile.d) Calculate the 5th percentile.e) What proportion of CUNY professors will live between 75 and 85 years?
A bacteria population starts with 400 bacteria and grows at a rate of r(t) bacteria per hour. How many bacteria n will there be after three hours? (Give your answer to the nearest bacterium.) r(t) = 450.266 e^(1.12567 t)
No fencing is required along the river. (See the figure below.) What are the dimensions of the largest area that can be enclosed?
Find an equation to approximately model the variation V if x is the number of hours after midnight and high tide occurs at 8:00 am.
Write an equation using the following information: Each represents an exponential function with base 2 or 3 translated and/or reflected
Complete the given ordered pairs so that each ordered pair satisfies the given equation. Determine the equation of each line. Write the answer in standard form using only integers as the coefficients.
At university , all first-year students must take chemistry and math. Suppose 15% fail chemistry, 12% fail math, and 5% fail both. Suppose a first-year student is selected at random. What is the probability that student selected failed at least on..
Prove the cancellation law for integers: If a,b, c are integers such that ac=bc and c is non zero, then a=b. hint for proof* use the cancellation law: Let a,b,c be natural numbers such that ac=bc and c is non zero, then a=b
the region in the first quadrant enclosed between the graph of y = ax -x2 and the x-axis generates the same volume whether it is revolved about the x-axis or the y-axis. use analytic methods to find the value of a.
The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 35 feet in radius. Your ball is located as in the picture below.
A bullet of mass 0.04 kg travelling at 300 m/s hits a fixed wooden block and penetrates a distance of 4cm. Find the average resistance of the wood.
Trigonometric formulas and identities.
Matrix of transition probabilities. The daily price of a farm commodity is up, down, or unchanged from the day before. Analysts predict that if the last price was down, there is a .5 probability the next will be down,
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