Reference no: EM13120153
Clarification of Mathematics - Other
Solve each problem. Show work.
1 From a group of 11 racers, how many top 3 finishes are possible?
2 In how many ways can a subcommittee of 4 be chosen from a senate committee of 6 Democrats and 8 Republicans if...
a. All members are eligible?
b. The subcommittee must consist of 3 Democrats and 1 Republican?
3 How many ways can 3 married couples sit in a row of 6 chairs if...
a. they can sit in any order?
b. the men must sit next to each other and the women must sit next to each other?
4 How many different 6-letter code words can be formed from the first 8 letters of the alphabet if adjacent letters must be different?
5 Two dice are rolled, what is the probability that the sum is 8 OR doubles were rolled?
6 cards are drawn from a 52-card deck, what is the probability of getting 2 aces?
7 A shipment of 45 parts, including 9 that are defective, is sent to a plant. The quality control selects 10 at random for testing and rejects the entire shipment if one or more in the sample are defective. What is the probability that the shipment will be rejected?
8 In a group of 15 people, what is the probability that at least 2 of them have the same birthday?
9 A company advertised its products in 2 magazines: Good Housekeeping and Ladies Home Journal. 500 customers revealed that 140 learned of its products from GH, 130 learned of its products from LHJ, and 80 learned of its products from both magazines. What is the probability that a person selected at random from this group saw the company's advertisement in
a. both magazines
b. at least one of the magazines
c. exactly one magazine
10 A combination lock has 4 wheels, each labeled with 10 digits from 0 to 9. If an opening combination is a particular sequence of 4 digits with no repeats, what is the probability of the person guessing the right combination?
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Capital-intensive method of production
: Calculate the six-firm concentration ratio and Herfindahl-Hirschman index for this industry. What does each of these measures have to say about the degree of concentration in the industry? Explain.
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How many grams of this compound must you burn
: If the heat of combustion for a specific compound is -1390.0 kJ/mol and its molar mass is 61.39 g/mol, how many grams of this compound must you burn to release 821.90 kJ of heat.
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How much accumulated depreciation would there be
: Your company just bought an asset for $200,000 with an estimated useful life of 5 yrs, and a salvage value of $10,000. The Controller asks you to use a depreciation method that would produce the highest charge against income after three years. Wha..
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External financial reporting
: If Rushia Company determines that the fair value of the investment is now $3,900,000 and is using U.S. GAAP for its external financial reporting, which of the following is true?
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Explain clarification of mathematics
: How many different 6-letter code words can be formed from the first 8 letters of the alphabet if adjacent letters must be different?
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Find probability that children are enrolled in school
: Of all 3 to 5 year old children, 56% are enrolled in school. A sample of 500 children age 3 to 5 year old is ramndom selected. Find the probability that at least 250 children are enrolled in school.
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Prepare a 2011 statement of stockholders equity
: The Cleaning Authority provides janitorial services for commercial customers. On December 31, 2010, the credit balance of the Common Stock and Retained Earnings accounts were $12,000 and $5,500, respectively. During 2011, the company issued $4,200..
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Calculate the molar solubility of cu(oh)2
: Calculate the molar solubility of Cu(OH)2, Ksp = 2.2 × 10-20, in 0.82 M NH3. Don't forget to use the complexation reaction Cu2+ + 4 NH3 ? Cu(NH3)42+, K = 5.0 × 1013.
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Determining algebra-order of operation
: 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?
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