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Home » The area is \( 5 \times 12 = 60 \) square cm. - Silent Sales Machine

The area is \( 5 \times 12 = 60 \) square cm. - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Testing \( x = -1 \):
Testing \( x = 2 \):
2^3 - 4(2) + 2 = 8 - 8 + 2 = 2 \quad (\text{not a root})
Testing \( x = -2 \):
Since none of the rational roots work, we proceed with finding roots u...
Consider \( g(x) = x^3 - 4x + 2 \). The derivative is:
g'(x) = 3x^2 - 4
Setting \( g'(x) = 0 \):
3x^2 - 4 = 0 \implies x^2 = \frac{4}{3} \implies x = \pm \frac{2}{\sqr...
Evaluate \( g(x) \) at these critical points:

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Solution: First, identify the prime numbers between 1 and 6: $2, 3, 5$...
Probability of rolling a prime: $\frac{3}{6} = \frac{1}{2}$
Probability of rolling a non-prime: $\frac{1}{2}$
We want exactly two dice to show a prime. The number of ways to choose...
For each such choice:
Probability for two primes: $\left(\frac{1}{2}\right)^2 = \frac{1}{4}$
Probability for one non-prime: $\frac{1}{2}$
So, probability for each configuration is $\frac{1}{4} \times \frac{1}...
\times \frac{1}{8} = \frac{3}{8}
Thus, the probability is $\boxed{\dfrac{3}{8}}$.

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