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Cancer in young children is usually thought to be rare. It is believed that there is a 4% probability that a 0 to 4 year old will contract some form of the disease; however you fear that your town may be a "cancer cluster" ( a location with higher than normal incidences of cancer). In order to test this hypothesis you gathered data on 100 children between the ages of 0 and 4 over the past 7 years. Four of these children have been diagnosed with cancer. Is your neighborhood a "cancer cluster"?
a) State the hypotheses
b) Calculate the z-score
c) Calculate the p-value
d) Test the hypotheses and state your conclusion
e) Interpret the results
For the function: f(x)=(x^2/4)+e^(-x^2), sketch a graph of the function. Calculate the first and second derivatives, and use these answers to approximate the locations of the local maximum, minima, and the inflection points.
For what value of X is the perimeter largest?
what are the three consecutive even numbers that have a product of 480? I know it's 6, 8, 10. But how can you solve it using factoring. x(x+2)(x+4) = 480 simplifies down to x^3 + 6x^2 + 8x - 480 = 0. Then what do you do?
A closed rectangular container with a square base is to have a surface area of 150inches squared. Find the maximum possible volume of such a box.
Determine the interest rate compounded semiannually at which the P500 payment every six months will amount to P27,000 in 12 years.
Plastic bags used for packaging are manufactured so that the breaking strength of the bag is normally distributed with a mean of 5.6 pounds per square inch and a standard deviation of 1.8 pounds per square inch. What is the probability that the me..
When adding or subtracting radical expressions, what must be true about the radicand (the data under the radical symbol) and the index? If the problem does not meet this criteria, what must be done?
Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results.
College officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. How many randomly selected students must be surveyed in order to be 95% confident that the sample percentage has a margin of error of 2 per..
An airplane is flying at an altitude of 8.4 miles towards a point directly over an observer. If the speed of the plane is 521 miles per hour, find the rate at which the angle of observation,θ,changing by at the moment when the angle is 27 degrees
budget to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.
XYZ company paid a dividend of $4.37 in the past 12 months, and it has a growth rate of 6.5%. The stock currently sells for $175. Calculate the required rate of return. Do not use a financial calculater or an online calculator. You must show your ..
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