weekly review #30\ndirections: answer each question below and record your answers in the \your answer\…

weekly review #30\ndirections: answer each question below and record your answers in the \your answer\ column.\n1. if we spun the spinner 13 times and it landed on stripes 7 times, what is the experimental probability?\n2. what is the slope? y - intercept\nx y\n0 4\n1 5\n2 6\n3 7\n3. 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?

weekly review #30\ndirections: answer each question below and record your answers in the \your answer\ column.\n1. if we spun the spinner 13 times and it landed on stripes 7 times, what is the experimental probability?\n2. what is the slope? y - intercept\nx y\n0 4\n1 5\n2 6\n3 7\n3. 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?

Answer

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})