Solve the two-step equation. Analyze the solution shown.
1. –|–x| = 7: given
2. |–x| =...
Mathematics, 05.10.2020 14:01 kaziyahf2006
Solve the two-step equation. Analyze the solution shown.
1. –|–x| = 7: given
2. |–x| = –7: multiplication property of equality
3. –x = 7 or –x = –7: definition of absolute value
4. x = –7 or x = 7: multiplication property of equality
5. Check: –|–(–7)| = 7, –7 ≠ 7
–|–7| = 7, 7 = 7
Negative times negative is positive.
Determine the flaws in the solution.
The multiplication property of equality in Step 2 should result in |x| = 7.
The definition of absolute value is applied incorrectly. There is no solution.
The reason in Step 4 should be the addition property of equality.
The multiplication property of equality in Step 4 should result in only x = 7.
In evaluating the solutions, the absolute value should be simplified first to get a positive value.
Answers: 3
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Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain
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