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Instructions: 1. Write the null and alternative hypotheses. 2. Calculate the test statistic. 3. Determine the critical value whether or not there has been an improv
By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9. Answer: Let make four groups of two numbers from 1 to 8 like
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Application of Linear Equations We are going to talk about applications to linear equations. Or, put in other terms, now we will start looking at story problems or word probl
Mr. Brown plowed 6 acres in 1 hour. At this rate, how long will it take him to plow 21 acres? Mr. Brown plows 6 acres an hour, so divide the number of acres (21) through 6 to f
Show that A-B ? C ? A?B ? B?C?
Area Problem Now It is time to start second kind of integral: Definite Integrals. The area problem is to definite integrals what tangent & rate of change problems are to d
Example of addition of Fractions: 105/64 + 15/32 + 1/6 =____ would require the denominator to be equal to 64 x 32 x 6 = 12,288. This type of number is very hard to use.
In polynomials you have seen expressions of the form x 2 + 3x - 4. Also we know that when an expression is equated to zero or some other expression, we cal
Prime number A prime number is a number whose only +ve factors are 1 and itself. For instance 2, 3, 5, and 7 are all of the examples of prime numbers. Examples of numbers whic
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