Identify the following as an experiment or an observational study.A researcher obtained a random sample of women with children and a random sample of women without children and compared the rates of clinical depression in the two groups.

A. Observational study
B. Experiment


Answer: A

Mathematics

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Complete the income statement. Cindy's Sweet Shop had gross sales of $370,000 with returns of $6,900. The inventory on January 1 was $50,000. During the year $181,000 worth of goods was purchased with freight of $1,900. The inventory on December 31 was $50,000. Wages and salaries were $23,100, rent was $8,700, advertising was $5,100, utilities were $2,300, business taxes totaled $5,400, and miscellaneous expenses were $3,500.

A. 1) $370,000, 2) $6,900, 3) $363,100, 4) $179,100, 5) $184,000,  
B. 1) $370,000, 2) $6,900, 3) $363,100, 4) $182,900, 5) $180,200,  
C. 1) $370,000, 2) $6,900, 3) $376,900, 4) $182,900, 5) $194,000,  
D. 1) $370,000, 2) $6,900, 3) $363,100, 4) $182,900, 5) $180,200,  

Mathematics

Use a ruler, protractor, and compass to construct, when possible, a triangle with the stated properties. Determine whether one triangle can be constructed, two or more noncongruent triangles can be constructed, or no triangle can be constructed.A triangle with angles of 30° and 62°.

A. Exactly one triangle can be constructed. B. Two or more noncongruent triangles can be constructed. C. No triangle can be constructed.

Mathematics

Use the given graph of the quadratic function f to write its formula as .

A. f(x) = (x + 1)2 - 3
B. f(x) = (x - 1)2 - 3
C. f(x) = 2(x - 1)2 - 3
D. f(x) = (x - 1)2 - 3

Mathematics

Factor the polynomial completely using the trial and error method.-45y2 + 32x2 + 4xy

A. (4x - 9y)(8x - 5y) B. (8x - 5y)(4x + 9y) C. (4x + 5y)(8x - 9y) D. (4x - 5y)(8x + 9y)

Mathematics