A company is producing a candy bar with an average weight of 58 grams and a standard deviation of 2 grams. To pass inspection an
d be boxed to sell, the company has stated that the weight of an individual bar must fall within the middle 99.7% of all the candy bar weights. Assuming the weights are normally distributed and with the mean in the middle, plot a line segment that represents the range of weights that will pass inspection.
1 answer:
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Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball
we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,
notice that, our given function is not in standard form i.e
let's make it so
therefore we got
our <em>a</em> is -4.9 and <em>b </em>is 29.4
so substitute:
remove parentheses and change its sign:
simplify multiplication:
simplify division:
so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function
simplify square:
simplify mutilation:
simplify substraction:
hence,
the maximum height of the baseball is 44.1 metres
