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quester [9]
3 years ago
11

A cooler contains 7 cans of​ soda; 2 ​colas, 4 ​orange, and 1 cherry. Two cans are selected at random without replacement. Find

the probability that at least one can is cherry
Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0
The probability is 2/14
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How would the sum of cubes formula be used to factor x3y3 + 343? Explain the process. Do not write the factorization.
Svetllana [295]

Answer:

Given : Expression -x^3y^3+343

To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.

Solution :

The formula of sum of cubes is,

a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)

First we convert the given expression in a^3+b^3

x^3y^3+343

Apply exponent rule : a^mb^m=(ab)^m

x^3y^3=(xy)^3

Rewrite 343=7^3

Therefore, x^3y^3+343  could be written as =\left(xy\right)^3+7^3

On comparison with the formula,

a=xy , b=7

\left(xy\right)^3+7^3=(xy+7)(xy^2-xy(7)+7^2)

\left(xy\right)^3+7^3=(xy+7)((xy)^2-7xy+49)            

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Answer:

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