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the standard IQ test has a mean of 98 and the standard deviation of 14. We want to be 99% certain that we are within the 4 IQ points of the true mean. Determine the required sample size.
Let M be a two by two matrix for which each element is a real number, and let S be the set of all such matrices. Consider the mapping f of S to the real numbers R defined by the relation f(M) = determinant of M.
The dimensions of a closed rectangular box are measured as 95 cm, 52 cm, and 12 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
A right triangle is a triangle with one angle measuring 90? In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90?angle).
Suppose sunshine figures are independent identically distributed continuous random variables. Independent identically distributed continuous random variables
Two point charges q1 and q2 separated by a distance of 3m experience a mutual force of 16x10^-15N. Calculate the magnitude of charge when q1=q2=q. What will be magnitude of force if separation between the charges is changed to 6m?
Write the fitted regression equation.
Determine the volume of the solid of revolution formed when R is revolved about the x-axis. Use the washer method (and no other method) to dertermine the volume of the solid of revolution formed when R is revolved about the line x=7.
In one room of the science fair were six projects, and each project was entered by a pair of students. During the fair, some of the students visited other projects in the room and shook hands with some of the other project entrants.
Erika's cell-phone bill for july was $82. she sent a check for $50 and then made $37 worth of calls in August. How much did she then owe on her cell-phone bill?
There are 7 women and 9 men on a faculty. How many ways are there to select a committee of 5 members if at least 1 member must be a woman?
Evaluation of probability of randomly selected customer- Normal Distribution
Construct a truth table for given relation - Construct a truth table for each of the following
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