Reference no: EM131087347
1. Consider the interval (-∞, 0]. For each numerical value below, is it in the interval or not? (Just answer Yes or No)
2.1 x 108______ 0/3_______-92_______|-0.7| _______ 4-5_______
(Yes or No) (Yes or No) (Yes or No) (Yes or No) (Yes or No)
2. Write the interval notation corresponding to the set notation {x| x³ -3}.
3. Perform the indicated operations and simplify: (6-1 - 8-1)-1.Show work.
4. Perform the indicated operations and simplify: {1350 × 6-2} / {(-10)2 × 4-5} Show work.
Note: × is a multiplication symbol here, not a variable.
5. Solve the absolute value inequality|8x-3| ³ 27. Show work. Write interval notation for the solution set.
6. Solve the absolute value inequality |9 - 4x| ≤ 15. Show work. Write interval notation for the solution set.
7. Simplify: √75-√48+√(12x2 )Show work. Give the exact answer (including a radical).
8. Factor. (Work not required to be shown).
(a) 64x2 - 36
(b) 14x2-3x-5
9. Perform the indicated operations and simplify to get a polynomial: (4x - 3)2- (2x + 3)(6x + 5) Show work.
10. Solve the equation x) = 4x.-x(3 Show work.
11. Solve the equation 9 - 5(x + 3) =7(2 - x). Show work.
12. Simplify: {(2x-3)/(3x2+x-2)} + {1/(3x- 2)}. Show work.
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Specification limits for the part
: The width W (in inches) of duralumin forged parts is normally distributed with mean: mu=0.9000 and standard deviation sigma= 0.0040. The specification limits for the part is given as 0.9000 +/- 0.0060
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Perform a multiple linear regression
: The data shown in the following table were collected as part of a study in which the subjects were preterm infants with low birth weights born in three different hospitals (, , and ). (Refer to the complete list in the dataset called Hospital).
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Continuous uniform random variables
: An office complex is lit by lightbulbs made by 2 companies, with 60% of the bulbs in use made by company A and 40% by company B. The lifetime (in years) for the 2 companies' bulbs are continuous uniform random variables Ta and Tb, respectively. Ho..
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Psychiatric and alcoholic admissions do not occur
: The article "Psychiatric and Alcoholic Admissions Do Not Occur Disproportionately Close to Patients' Birthdays" (Psychological Reports, 1992: 944-946) focuses on the existence of any relationship between the date of patient admission for treatment..
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Perform indicated operations and simplify to get polynomial
: Perform the indicated operations and simplify to get a polynomial: (4x - 3)2- (2x + 3)(6x + 5) Show work. Solve the absolute value inequality|8x-3| ³ 27. Show work. Write interval notation for the solution set.
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Margin of sampling error of moe
: To obtain a 95% interval estimate for the mean student commuting time to the IUPUI campus with a margin of sampling error of MOE = 2 minutes, the minimum sample size should be n = _____. A pilot sample of students provided a planning value of σ^ =..
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How failure detectors solve these problems
: how failure detectors solve these problems?
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Demonstrate a reduction from the former to the latter
: demonstrate a reduction from the former to the latter.
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Proportion of bank customers waits
: The lengths of time bank customers must wait for a teller are normally distributed, with a mean of 3 minutes and a standard deviation of 1 minute. 1) What proportion of bank customers waits between 3 and 4 minutes
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