Question

a data set of three numbers is shown. if a number from this data set is selected at random, what is the probability of selecting a positive number? -11, -9, 16 a) 0 b) 1/3 c) 2/3 d) 1 f(x)=45x + 600 the function f gives the monthly fee f(x), in dollars, a facility charges to keep a crate in storage. what is the monthly fee, in dollars, the facility charges to keep 50 crates in storage?

Explanation:

Step1: Identify total number of elements

The data - set has 3 numbers: - 11, - 9, 16. So the total number of elements $n = 3$.

Step2: Identify positive numbers

The positive number in the data - set is 16. So the number of positive numbers $m=1$.

Step3: Calculate probability

The probability $P$ of selecting a positive number is given by the formula $P=\frac{m}{n}$. Substituting $m = 1$ and $n = 3$, we get $P=\frac{1}{3}$.

Step1: Substitute value into function

We are given the function $f(x)=45x + 600$, and we need to find the monthly fee when $x = 50$. Substitute $x = 50$ into the function: $f(50)=45\times50+600$.

Step2: Calculate the product

First, calculate $45\times50 = 2250$.

Step3: Calculate the sum

Then, $f(50)=2250 + 600=2850$.

Answer:

B. $\frac{1}{3}$