Question

multiple choice 2 points
if a fair coin is tossed five times, the probability of getting exactly two heads is
$\frac{1}{4}$
$\frac{2}{5}$
$\frac{10}{32}$
$\frac{1}{32}$
multiple choice 2 points
what is the value of $x$ in the solution of the system of equations $3x + 2y = 12$ and $5x - 2y = 4$?
2
8
4
3

Explanation:

Step1: Add the two equations

$$\begin{align*} (3x + 2y)+(5x - 2y)&=12 + 4\\ 3x+2y + 5x-2y&=16\\ 8x&=16 \end{align*}$$

Step2: Solve for \(x\)

Divide both sides of \(8x = 16\) by \(8\): \(x=\frac{16}{8}=2\)

Answer:

\(2\)