Provide an appropriate response.When creating a grouped frequency distribution, each class interval:

A. will always have different tallies
B. will have the same number of tallies
C. will have the same mean
D. should be created appropriately, given the data set


Answer: D

Mathematics

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Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.(log7 x + log7 y) - 5 log7 (x + 3)

A. log7 
B. log7 
C. log7 
D. log7 

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Express the number as an equivalent decimal. Use bar notation for repeating decimals.

A. 0.35 B. 0.45 C. 0.25 D. 0.4

Mathematics

Find the open intervals where the function is concave upward or concave downward. Find any inflection points.

A. Concave upward on (-?, -1) and (1, ?); concave downward on (-1, 1); inflection points at (-3, -5), (0, -1), and (2, -2) B. Concave upward on (-?, -1) and (2, ?); concave downward on (-1, 2); inflection point at (0, -1) C. Concave upward on (-?, -1) and (1, ?); concave downward on (-1, 1); inflection points at (-1, -3) and (1, -2) D. Concave upward on (-?, -3) and (2, ?); concave downward on (-3, 2); inflection points at (-1, -3) and (1, -2)

Mathematics

Solve the problem.A nutritionist proposes the following model for weight loss on a program she is developing:  + 0.006w = Cwhere w(t) is a person's weight (in pounds) after t days of consuming exactly C calories per day. A person weighing 180 pounds goes on this diet program consuming 2400 calories per day. Use the above model to predict how long will it take this person to lose 15 pounds.

A. 37 days B. 35 days C. 39 days D. 41 days

Mathematics