Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged
2 answers:
Answer:
The correct answer is:
6 inches by 6 inches
Step-by-step explanation:
Given that
Area of Enlarged photo = 256 square inches
Let x be the side of original photo
then the equation for area of new enlarged photo will be:
We have to solve the given equation to find the side length of original photo
Taking square root on both sides
Subtracting 10 from both sides
So the side length of original photo is 6 inches. The dimensions will be 6 inches by 6 inches.
Hence,
The correct answer is:
6 inches by 6 inches
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The game is not fair as 6 times the expected sum is less than the cost, $43.
In the question, we are asked if the game is fair.
For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,
6E(X) ≥ 43.
The expected sum for the pair, E(X) can be calculated using the formula,
E(X) = ∑x.p(x),
or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,
or, E(X) = 107/18.
Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.
Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.
Learn more about expected return from a game at
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