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| f What is the place value of the digit 3 in the number 32,504? f |
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| f A mechanical plant hires 915 labors on a daily wage scheme paying $8385. Men are paid $11 and women are paid $7. Find the number of men and women hired. f |
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f A mechanical plant hires 1,169 labors on a daily wage scheme paying $7,702. Men are paid $8 and women are paid $5. Find the number of men and women hired.
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f Find the number of solutions of the linear system using the substitution method.
- 16x + 17y = 32
- 64x - y = - 10
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| f A researcher would like to estimate the proportion of all mothers who take black coffee during pregnancy. She would like to be 90% confident that the estimate is within 2.5 percentage points of the true proportion. What sample size is required? f |
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f A fast-food restaurant owner wishes to estimate the average number of people visiting the restaurant. He wants to be 90% confident that the estimate is within 5 percentage of the true proportion. How large should the sample size be?
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f An economist wishes to estimate the average monthly rent of houses in a large city to within $25 with 99% confidence. A study of 70 houses in the city found that 49 houses had their rent as $1,000. How many houses must be surveyed in order to be justified in assuming that the sample proportion is approximately normally distributed?
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f At how many points does the graph of y = x2 + 2x + 3 intersect the x-axis?
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f At how many points does the graph of y = x2 - 4x - 5 intersect the x-axis?
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f At how many points does the graph of y = 2x2 - 5x - 25 intersect the x-axis?
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f At how many points does the graph of y = x2 - 3x - 4 intersect the x-axis?
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f John's garden is square shaped and Jeff's garden is rectangular in shape. The length of the rectangular garden is longer by a ft, and its width is b ft shorter than the square garden. If both gardens have the same area, then find the dimensions of the rectangular garden.
[a = 7 ft and b = 4 ft.]
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f Jim's garden is square shaped and Tony's garden is rectangular in shape.The length of the rectangular garden is longer by a ft, and its width is b ft shorter than the square garden. If both gardens have the same area , find the dimensions of the rectangular garden.
[a = 4 ft and b = 2 ft.]
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| f Identify an equation for a horizontal line that passes through (3, - 4). f |
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| f Identify an equation for a horizontal line that passes through (1, 2). f |
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| f Identify an equation for a vertical line that passes through (- 3, - 2). f |
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| f Identify an equation for a horizontal line that passes through (- 3, - 1). f |
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| f Identify an equation for a vertical line that passes through (3, 3). f |
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f Which graph represents the equation x + 2y = 6?
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| f Which graph represents the equation 2y + 2x = 6? f |
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