Question

weekly review #30
directions: answer each question below and record your answers in the \your answer\ column.

1. if we spun the spinner 13 times and it landed on stripes 7 times, what is the experimental probability?
2. what is the slope? y - intercept

x y
0 4
1 5
2 6
3 7

1. there are 5 orange m&ms, 7 brown m&ms, and 4 red m&ms in a bag. what is the probability of selecting a red m&m?

Explanation:

Step1: Recall experimental - probability formula

Experimental probability \(P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}\)

Step2: Identify values for formula

The number of favorable outcomes (landing on stripes) is \(7\), and the total number of trials (spins) is \(13\). So the experimental probability \(P = \frac{7}{13}\)

Step3: Recall slope - formula for a linear relationship

The slope \(m\) of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). We can take two points from the table, say \((0,4)\) and \((1,5)\)

Step4: Calculate the slope

\(m=\frac{5 - 4}{1 - 0}=1\)

Step5: Recall probability formula for selection

The probability \(P\) of an event is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)

Step6: Calculate total number of M&Ms

The total number of M&Ms is \(5 + 7+4=16\), and the number of red M&Ms (favorable outcomes) is \(4\). So the probability of selecting a red M&M is \(P=\frac{4}{16}=\frac{1}{4}\)

Answer:

1. \(\frac{7}{13}\)
2. \(1\)
3. \(\frac{1}{4}\)