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Leokris [45]
3 years ago
9

Select the correct answer.

Mathematics
1 answer:
valkas [14]3 years ago
6 0

Answer:

  • <u><em>Option D. 0.50</em></u>

Explanation:

1. Two-way table:

                Calories per Day:

                1000 to 1500      1500 to 2000     2000 to 2500   Total

Weight

120 lb.               90                        80                        10                180

145 lb.               35                       143                        25               203

165 lb.                15                        27                        75                 117

Total                 140                     250                       110               500

2. Total number of persons

Look at the intersection of the totals for the columns and the rows: 500

3. Number of persons that consume 1,500 to 2,000 calories in a day

Look at the total for the column 1,500 to 2,000 calories per day: 250

4. Probability that a person consumes 1,500 to 2,000 calories in a day, P

  • P = number of persons that consume 1,500 to 2,000 calories / total number of persons

  • P = 250 / 500 = 0.50 ↔ option D.
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Answer:

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Step-by-step explanation:

angle ABD and angle DBC are supplementary angles.

Hence, angle ABD +angle DBC = 180 --equation 1

angle ABD = (2x+15) ---equation 2

angle BCD = (4x+45) ------equation 3

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(2x+15) + ( 4x+45 ) = 180

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6x=180-60

6x=120

x=120/6=20

angle ABD= 2x+15= 2(20) +15

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angle BCD= 4x+45 = 4(20) +45

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Hence, angle ABD =55 degree

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