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Home » Standard Door Measurement 101: Why Every Home needs the Right Size Today! - Simpleprint

Standard Door Measurement 101: Why Every Home needs the Right Size Today! - Simpleprint

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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Number of trials $ n = 4 $
Number of successes desired $ k = 2 $
P(k) = \binom{n}{k} p^k (1 - p)^{n - k}
Substitute the values:
P(2) = \binom{4}{2} (0.3)^2 (0.7)^2 = 6 \cdot (0.09) \cdot (0.49) = 6...
Thus, the probability that exactly two of the four rolls result in a n...
\boxed{0.2646}
Question: A science administrator is reviewing grant applications and...
We are to count the number of 7-character strings using only the lette...
There are exactly **three** 'E's

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and $ q(x) = p(x+1) $. To find the coefficient of $ x^2 $ in $ q(x) $,...
q(x) = p(x+1) = (x+1)^3 - 3(x+1)^2 + 5(x+1) - 7.
Now expand each term:
-3(x+1)^2 = -3(x^2 + 2x + 1) = -3x^2 - 6x - 3, \\
5(x+1) = 5x + 5.
Adding all terms:
q(x) = x^3 + 3x^2 + 3x + 1 - 3x^2 - 6x - 3 + 5x + 5 - 7.
Now combine like terms:
$ x^3 $: $ x^3 $,
$ x^2 $: $ 3x^2 - 3x^2 = 0 $,

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