I tried to scream but my head was under water.....

Mathematics

1 answer:

sukhopar [10]2 years ago

8 0

They called me weak

Like I'm not just somebody's daughter

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PLEASE HELP Find the product. (a²b³)⁴

cluponka [151]

Answer:

$a^8b^{12}$

Step-by-step explanation:

when you raise an exponent to a power you multiply

Also since the terms inside the parenthesis are multiplied and not added, you don't have to worry about expanding it

$(a^2b^3)^4 = a^{2*4}b^{3*4}=a^8b^{12}$

8 0

3 years ago

Read 2 more answers

Are the two events “choosing a sophomore” and “choosing someone who replied ‘Yes’” independent events?

4vir4ik [10]

Yes, they are independent event such that occurring the first event “choosing a sophomore” does not affect the probability of occurring the second event “choosing someone who replied ‘Yes’”

5 0

3 years ago

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.

Romashka-Z-Leto [24]

Answer:

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,

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