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Sonbull [250]
3 years ago
11

5) 1

Mathematics
1 answer:
solniwko [45]3 years ago
6 0

Answer:

$3.49

Step-by-step explanation:

-The z value is calculated by the formula:

z=\frac{\bar x -\mu}{\sigma}

Where \mu, \sigma are the mean and standard deviation respectively and \bar x is the price of the random selection.

#We substitute and solve for \mu:

z=\frac{\bar x -\mu}{\sigma}\\\\1.6=\frac{4.29-\mu}{0.5}\\\\0.8=4.29-\mu\\\\\mu=3.49

Hence, the mean price of a box of cereal is $3.49

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Read 2 more answers
Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8
vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function f(x)=1/x. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b}  =-1/8

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

\frac{.5b-1}{2b-b^2} =\frac{-1}{8}

Now, cross multiply.

4b-8=b^2-2b

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Solve for b. Factor using the numbers -4 and -2.

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Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

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