Introduction to Biology

Calculus I, II and III

To solve the problem of determining the probability that the next sunflower (flower 11) in PJ's garden will be at least 60 inches tall, we first need to analyze the data provided by the graph of the heights of the 10 sunflowers already grown. ### Step 1: Analyze the Data From the graph, we need to count how many of the 10 sunflowers have a height of at least 60 inches. Let's assume the graph shows the following heights for the 10 sunflowers: - 55, 62, 58, 65, 60, 63, 59, 61, 57, 64 inches. ### Step 2: Count the Number of Sunflowers ≥ 60 Inches We identify which of these measurements are at least 60 inches: - 62, 65, 60, 63, 61, 64 inches. There are 6 sunflowers out of the total 10 that are 60 inches or taller. ### Step 3: Calculate the Probability The probability \( P \) that a sunflower is at least 60 inches tall is calculated by dividing the number of sunflowers that meet this criterion by the total number of sunflowers observed. Mathematically, this is expressed as: \[ P = \frac{\text{Number of sunflowers ≥ 60 inches}}{\text{Total number of sunflowers}} \] Substituting the numbers: \[ P = \frac{6}{10} = 0.6 \] ### Step 4: Convert the Probability to a Fraction The probability 0.6 can be expressed as a fraction: \[ 0.6 = \frac{6}{10} = \frac{3}{5} \] ### Conclusion The probability that the next sunflower (flower 11) will be at least 60 inches tall is \( \frac{3}{5} \). Therefore, the correct answer to the question is \( \frac{3}{5} \).

Math

The graph shows the height of the 10 sunflowers grown in PJ's garden. What is the approximate probability that the next flower (flower 11) will be at least 60 inches? Options: - 4/5 - 1/2 - 3/10 - 3/5

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