MTH105 Project #2 M&M Version A-1 (1) (1)

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Eastern Gateway Community College *

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105

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Mathematics

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Jan 9, 2024

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docx

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M&M Distribution(A) MTH105 Project NAME ____ _________________________________________________________ Must show calculations/formula for credit. Any answer given with no calculations shown will result in no credit for that answer. 1. Suppose you open a bag of M&Ms and count the number of M&Ms you have of each color. Suppose there were the following: Qty 10 blue Qty 8 orange Qty 4 yellow Qty 3 green Qty 5 brown Qty 3 red 2. Calculate the proportion of each color (round to 3 decimals) please show calculation and answer in proportion cell of table example 21/57 = .368 Color Proportion Blue 10/33=0.303 Orange 8/33=0.242 Yellow 4/33=0.121 Green 3/33=0.091 Brown 5/33=0.152 Red 3/33=0.091 1

3. Suppose the entire class put all the M&Ms together on the table and following occurred: Qty 42 blue Qty 45 orange Qty 33 yellow Qty 25 green Qty 10 brown Qty 22 red 4. For the entire class, calculate the proportion of each color (round to 3 decimals) please show calculation and answer in proportion cell of table example 21/57 = .368 Color Proportion Blue 42/177=.237 Orange 45/177=.254 Yellow 33/177=.186 Green 25/177=.141 Brown 10/177=.056 Red 22/177=.124 5. What conclusions can you draw from the data gathered from one small bag compared to several small bags of M&Ms? The conclusion I drew up from the data gathered from on small bag compared to several bags of M&Ms is they are not the same or equal. 2

6. A 5-pound bulk bag of M&Ms holds approximately 2900 pieces. How many of each color should we expect to find in the bag based on the results of the proportions from the entire class ? (approximate number of each color to be rounded to the nearest whole M&M) please show calculation and answer in Approximate number of M&Ms cell of table example 2900*0.368 = 1067 Color Approximate number of M&Ms Blue 688 Orange 737 Yellow 541 Green 410 Brown 164 Red 360 7. A bag of M&Ms is dumped on the table and you count 82 blue pieces. Approximately how many M&Ms do you expect to be in the entire bag based on the proportions of the entire class? Round to nearest whole M&M Show calculation and answer BLUE;2900 x (42/177) = 688.136 or 688 pieces GREEN: 2900 x (25/177)= 409.6.5 or 410 pieces ORANGE: 2900 x (45/177) = 737.288 or 737 pieces BROWN: 2900 x (10/177) =163.842 or 164 pieces YELLOW: 2900 x (33/177) = 540.678 or541 pieces RED: 2900x (22/177) =360.452 or 360 pieces 3

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