The area of this composite figure is 533 square inches.
The formula for a rectangle is lw, and the formula for the area of a triangle is 1/2bh. After plugging the values into these formulas, we have to add the values all together to get the final area.
The sample std. dev. will be (14 inches) / sqrt(49), or (14 inches) / 7, or 2 inches.
Find the z score for 93.8 inches:
93.8 inches - 91.0 inches 2.8 inches
z = ------------------------------------- = ----------------- = 1.4
2 inches 2 inches
Now find the area under the standard normal curve to the left of z = +1.4.
My calculator returns the following:
normalcdf(-100,1.4) = 0.919. This is the probability that the mean annual precipitation during those 49 years will be less than 93.8 inches.
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Answer:
Their bide ride was 1 hour and 42 minutes
