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Lead has a Half-Value Layer (HVL) of 0.3mm for 140 KeV X-rays. What is the minimum thickness of a lead slab to reduce the incident energy to less than 1%?
Objective questions based on regression
The aim of the project is to determine, for any fixed grid constants, an appropriate discrete skeletons from multivariate data so that the memory computational effort is minimal.
Calculate the range, variance, inter quartile range, coefficient of variation and standard deviation.
Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second. How fast is the radius increasing after 3 minutes? At what time (if any) is the radius increasing at a rate of 120 feet per second?
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
Write an equation and solve: The cellular phone service for a business executive is $30 per month plus $.50 per minute of phone use. In a month when the executive's phone bill was $67.50, how many minutes did the executive use the phone?
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
What other real-world factors might be important to consider in designing the simulation and making a recommendation?
Simple linear regression equation
Find a matrix A that admits no LU decomposition, even if we only require that L is lower triangular ( not necessarily unit!) and U is upper triangular.
Assume we interview 150 people and ask them the mileage on their car. If we assume that the population mean mileage is 100000 miles, with a population standard deviation of 30000 miles, what does the Central Limit Theorem tell us about the distrib..
a city park is shaped like a right triangle with length of one leg twice the length of the other leg. The area is 2500 m2. What are the lengths of the legs?
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