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The set of grades from different classes is recorded. In the first class, the mean is 80 and the standard deviation is 2. In the second class, the mean is 70 and the standard deviation is 5. In the third class, the mean is 72 and the standard deviation is 4. In which class are the grades most dispersed
A canyon is 2000 meters deep at its deepest point. A rock is dropped from the rim above this point. Write the height of the rock as a function of time t in seconds. (Use -9.8 m/s2 as the acceleration due to gravity.) How long will it take the rock..
A vending machine takes only dimes and quarters. There are 113 coins in the machine totaling $17.60. How many quarters are in the machine?
There are 5 pirates and a pot of 100 gold pieces. All the pirates have different ranks. The most senior pirate has to propose a split of the gold, such that at least half of the pirates agree.
Given the following table, make a PERT diagram, and determine the project time and the critical path. Provide a justification on how you obtain your project time and critical path.
A 100% concentrate is to be mixed with a mixture having a concentration of 30% to obtain 65 gallons of a mixture with a concentration of 80%. How much of the 100% concentrate will be needed?
The nonconstant polynomial p(x) an element of F[x] is irreducible over F iff for all f(x), g(x) an element of F[x], p(x)|(f(x)g(x)) implies p(x)|f(x) or p(x)|g(x), or any other known theorems of polynomials except those involving irreducibility.
a baseball is hit 3 feet above home plate. It will reach its highest point of 83 feet 125 feet from home plate.
Probability distribution. The high school GPA of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories.
Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value for the following:
How many samples contain at least 1 rotten apple?
A scientist writes an article in a scientific journal which claims that fewer than 9 in ten thousand male fireflies are unable to produce light due to a genetic mutation.
How many cubic inches of material do you need to make a solid rubber ball with a diameter of 3 in.? Round your answer to two decimal places.
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