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creativ13 [48]
3 years ago
9

Mike makes 4 dozen cookies. He brings 75% of them for a party at his school. How many did he bring?

Mathematics
1 answer:
baherus [9]3 years ago
3 0

Answer:

He brought 3 dozen cookies

She ate \frac{2}{5} of the bag of Doritos

She read 25 books

Step-by-step explanation:

∵ Mike makes 4 dozen cookies

∵ He brings 75% of them for a party at his school

- Multiply 75% by 4

∵ 75% = \frac{75}{100}=\frac{3}{4}

∴ He brought = \frac{3}{4} × 4

∴ He brought = 3

He brought 3 dozen cookies

∵ Sam bought a bag of Doritos

∵ She ate only 40% of them

∵ 40% = \frac{40}{100}=\frac{2}{5}

∴ She ate = \frac{2}{5} × 1

∴ She ate = \frac{2}{5}

She ate  \frac{2}{5} of the bag of Doritos

∵ Jamie took 50 books from the library

∵ She only read half of her whole stack

- Multiply half by 50

∴ She read = \frac{1}{2} × 50

∴ She read = 25

She read 25 books

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Step-by-step explanation:

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Now we can calculate the determination coeffcient:

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And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

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r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

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