What is the product of 3 2/3 + 14 2/5?

1 answer:

Volgvan3 years ago

3 0

So we wan't to know what is the sum of 3 2/3 and 14 2/5. First lets turn them into fractions: first one is 11/3 and the second is 72/5. Now lets add them: We multiply fractions this way: (a/b)+(c/d)={(a*d)+(c*b)}/(b*d). Following this rule: {(11*5)+(72*3)}/(3*5)={55+146}/15=201/15. and finally lets turn it back into a mixed number: 13 6/15

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A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.

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The probability that it is grape juice, given that the juice is not sugar free is 0.769 or 76.9%

Step-by-step explanation:

$P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}$

A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.

Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.

Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,

$P(\text{Grape }\cap \text{ Not sugar free})=\dfrac{10}{27}$

$P(\text{Not sugar free})=\dfrac{10+3}{27}=\dfrac{13}{27}$

Putting the values,

$P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}=\dfrac{\frac{10}{27}}{\frac{13}{27}}=\dfrac{10}{13}=0.769$