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sergejj [24]
2 years ago
11

Mrs. Bonse bought a box of erasers. The box had 5 different shapes of erasers. There were 8 of each shape of eraser in the box.

Mrs. Bonse gave the box of erasers to a group of 4 students to share equally. Part A: One student, Brianne, said the box contained exactly 45 total erasers. Is Brianne correct? Write an equation and draw a model to explain why or why not. Part B: Another student, Gail, said each student in the group will get exactly 10 erasers. Is Gail correct? Write an equation and draw a model to explain why or why not.
Mathematics
1 answer:
JulsSmile [24]2 years ago
4 0

Answer:

Gail is correct and Brianne is incorrect.

Step-by-step explanation:

If there are 5 different shaped erasers and 8 of each, you would have to multiply 5x8 which equals 40. If there are 4 people in the group, 40 divided by 10 equals 4.

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Answer:

a) The probability tree is constructed below

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Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

                                                 3 men, 3 women

                                                            ↓

           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

         3 men                    2 men                          1 man                        0 men

      0 women                1 woman                     2 woman                   3 women

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so

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³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

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p( at least two women would be selected) = 0.500

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