Which system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt.

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Step-by-step explanation:

Step-by-step explanation:

a) According to the least-squares regression line, the estimated height for a high school senior with a foot length of 20 cm is:

y = 2.599x + 105.08

y = 2.599(20) + 105.08

y = 157.06

The residual is 160 − 157.06 = 2.94

b) The differences between each data point and its corresponding estimate varies with a standard deviation of 5.9 cm.

c) Calculate the z-score:

z = (x − μ) / σ

z = (8 − 0) / 5.9

z = 1.36

Use a calculator or table to find the probability.

P(Z > 1.36) = 1 − 0.9131 = 0.0869

Therefore, approximately 8.69% of the residuals are larger than 8 cm.

d) Since the z-score is within ±2 standard deviations, it would not be surprising to randomly select a high school senior with a foot length of 20 cm and height of 165 cm.