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When solving a quadratic equation using the quadratic formula, it is possible for the b2 - 4ac term inside the square root (the discriminant) to be negative, thus forcing us to take the square root of a negative number. The solutions to the equation will then be complex numbers (i.e., involve the imaginary unit i).
Question:
In the real world, where might these so-called imaginary numbers be used?
When using a formula, we often know the value of one variable to a greater degree of accuracy than we know the others. I need help to understand, what affect, if any, does it make on our use of a formula if we know the value of one variable to a greater degree of accuracy than another? Please assist.
Which of the following conditions must be met to conduct a test for the difference in two sample means? Suppose we test the difference between two proportions at the 0.05 level of significance. If the computed z is -1.07, what is our decision?
What percentage of the bank's customers carries average daily balances below of $200? What percentage of the bank's customers carries average daily balances between $300 and $700?
They estimated the proportion of students at the university who prefer outdoor exercise as (0.5745, 0.8217), with 95% confidence. Which of the following is an appropriate interpretation of this confidence interval?
Determine estimated average starting salary for school with average GMAT of 600 points?
Use a calculator with mean and standard deviation keys to verify that the sample mean is x = 5.63 pups with the sample standard deviation s = 1.78 pups. (b) Find a 75% confidence interval for the population.
What is the probability of the person is 20 to 24 years old.What is the probability of the person is 20 to 34 years old.
A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia.
A locksmith is preparing an electronic key code of 3 integers selected from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} without replacement. Calculate the probability that at least one of integer in the code is 5.
The manufacturer of a nationally known "lite beer" claims that the approval rating for it's product is at least 85%. A local soft drink manufacturer has retained a marketing agency to test the "lite beer".
Create risk profiles for medium and large alternatives. Given mayors concern over possibility of losing money and result of part (a), which alternative would you suggest?
A person claims to have ESP (extrasensory perception). A coin is tossed 16 times, and each time the person is asked to predict in advance whether the coin will land heads or tails.
Many educators feel their grades should fit a normal distribution and often apply curves to make them fit one. One way to do this is to convert numeric grades to z scores using the mean and standard deviation for the grades, then use an equation s..
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