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1- Three research departments have 6 , 7 , and 8 members, respectively. If each department is to select a delegate and an alternate to represent the department at a conference, in how many ways can this be done?2- From a group of 18 customers, 5 are to be chosen to receive a special gift. Assuming that the order in which the customers are chosen is irrelevant, how many groups of 5 customers can be chosen?3- A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 41 years old, with a standard deviation of 9 years. Suppose that these measures are valid for the population of all home buyers. Complete the following statements about the distribution of all ages of home buyers.(a) According to Chebyshev's theorem, at least ____?% of the home buyers' ages lie between 18.5 years and 63.5 years.(b) According to Chebyshev's theorem, at least ____?% of the home buyers' ages lie between 23 years and 59 years.(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ____?% of the home buyers' ages lie between 23 years and 59 years.(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 99.7% of the home buyers' ages lie between ____?% years and ____?%years
Find the domain of given equation.
find the real-number solutions of the equation.
What are the steps of the order of operations? Why is it important that you follow the steps rather than solve the problem from left to right?
Find the equation of the resulting function
since 1905 the amount of carbon dioxide has been increasing. total production of co2 from all counntries except us
Two mechanics worked on a car. The first mechanic worked for 20 hrs and the 2nd worked 5 hours. Together they charged a total of $2250.
Company reports the following operating results for the month of August: Sales $350,000 (units 5,000); variable costs $210,000; and fixed costs $90,000. Management is considering the following independent courses of action to increase net income.
Find the LCM of the denominators.
Simplify the exponential equation.
post a 100 - 300 word response to each individual bulleted question. repsonses to be submitted as individual responses
Do the graph that represents the function: y = 2x - 4. Do the graph that represents the function: 5x - 3y = 15. Convert given equation of line to slope-intercept form y = mx + b and identify slope m
you have 24.00 to purchase grapes and strawberries for a party. grapes cost 1.50 per pound and strawberries cost 2.00
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