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Thus, the probability that site 7 is selected is: - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 To check if it is a right triangle, apply the Pythagorean theorem:

📌 \(a^2 + b^2 = c^2\), where \(c\) is the longest side.

📌 \(7^2 + 24^2 = 49 + 576 = 625\) and \(25^2 = 625\).

📌 A rectangular garden is 15 meters long and 10 meters wide. A path 1 meter wide runs along the inside perimeter of the garden. What is the area of the path?

📌 Total area of the garden: \(15 \times 10 = 150\) square meters.

📌 Dimensions of the inner rectangle (excluding path): \(13 \times 8 = 104\) square meters.

📌 Area of the path: \(150 - 104 = 46\) square meters.

📌 A solution is made by mixing 3 liters of a 20% salt solution with 2 liters of a 50% salt solution. What is the concentration of the resulting mixture?

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Thus, the required relationship is \(\boxed{c = 9a - 5}\).
In a neural network optimization, the loss function is modeled as \( L...
The function \( L(w) = w^2 - 2mw + m^2 + 4 \) is a quadratic in \( w \...
w = \frac{2m}{2} = m
Substitute \( w = m \) into \( L(w) \):
L(m) = (m)^2 - 2m(m) + m^2 + 4 = m^2 - 2m^2 + m^2 + 4 = 0 + 4 = 4
But the problem states the minimum loss must be 1, yet we get 4. This...
L(m) = m^2 - 2m \cdot m + m^2 + 4 = 2m^2 - 2m^2 + 4 = 4
So the minimum value is always 4, independent of \( m \). But the prob...
Wait — re-examining: perhaps a typo in interpretation. Let’s suppose t...

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