9514 1404 393
Answer:
9,775,069,161
Step-by-step explanation:
The field has the shape of a trapezoid. Its area can be found using the formula for the area of a trapezoid:
A = (1/2)(b1 +b2)h
A = (1/2)(399 +594)(506) = 251,229 . . . . . . acres
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At 38909 plants per acre, the number of plants that should be planted for maximum yield is ...
(251,229 ac)(38,909 plants/ac) = 9,775,069,161 plants
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<em>Comment on units</em>
The problem statement tells us "each unit of coordinate plane represents one acre." An acre is a unit of area, so we have to assume this means that each <em>square</em> unit represents one acre. That means each unit on each axis is about 208.71 feet, the dimension that would have to be squared to get an area of one acre--43,560 square feet.
It is given that the mean is 79.1 inches and standard deviation is 3.0 inches so it follows:
So the value from 75 to 81 is given by:
Use the table or a software to get the probability values and substitute to get the probability value as:
The probability is 0.6509.