Mathematics: At joe’s restaurant, one fourth of the patrons are males and one fifth of the patrons are from out of town. what proportion would you expect to be a male and out of town?

At joe’s restaurant, one fourth of the patrons are

cyaransteenberg

12.03.2022

Hey!

The probability of being a male is $\frac{1}{4}$ . The probability of being from out of town is $\frac{1}{5}$ .

Multiply both probabilities:

$\frac{1}{4} \times \frac{1}{5} = \frac{1}{20}$

Your answer is $\frac{1}{20}$

Good luck and hope this helps! :)

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mahadharun

30.05.2023

➢ Answєr :

$\Huge{\boxed{\sf{\orange{ {(x - 6)}^2 =25}}}}$

➢ Explαnαtion :

$\displaystyle{\sf{{x}^2 - 12x + 11 = 0}}$

Subtract 11 from both the sides.

$\displaystyle{\sf{{x}^2 - 12x + 11 - 11 = 0 - 11}}$

$\implies$ $\displaystyle{\sf{{x}^2 - 12x = - 11}}$

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b

$\displaystyle{\sf{{( \frac{b}{2})}^2 = -6}}$

Add the term to each side of the equation.

$\implies$ $\displaystyle{\sf{{x}^2 - 12x {-6}^2 = - 11 {-6}^2}}$

Simplify the equation.

$\implies$ $\displaystyle{\sf{{x}^2 - 12x + 36 = 25}}$

Factor the perfect trinomial square into $\displaystyle{\sf{(x-6)^2 }}$

$\large{\boxed{\sf{\red{(x-6)^2 = 25}}}}$

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