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3 years ago

10

Given the function f(x) = log3 (x + 1), determine f^−1(2).

1 answer:

zavuch27 [327]3 years ago

6 0

Given: <span>f(x) = log3 (x + 1), look for f^-1 (2)

We are looking for the inverse of a function. The inverse of the function can be obtained by switching the variables and obtaining the values of the new function, before substituting f(2). Using a calculator:

</span><span>f^-1 (2) = 8</span>

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A production process is checked periodically by a quality control inspector. the inspector selects simple random samples of 30 f

777dan777 [17]

Answer:

Population Mean = 2.0

Population Standard deviation = 0.03

Step-by-step explanation:

We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.

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Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.

So, Mean, $\mu$ = $\frac{1.9+2.1}{2}$ = 2.0

Therefore, mean for the population of products produced with this process is 2.

Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.

z = -1.6449 {from z % table}

We know that z formula is given by ;

$Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

-1.6449 = $\frac{1.9 - 2.0}{\frac{\sigma}{\sqrt{n} } }$ ⇒ $\frac{\sigma}{\sqrt{n} } = \frac{-0.1}{-1.6449}$

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3 years ago

How can 17/20 and 7/4 make a sum of 9/10

Anika [276]

Answer:

the answer is $\frac{35}{20}$

Step-by-step explanation:

You have to find the common denominator in order to get the sum.

multiply 5 to $\frac{7}{4}$ and you get $\frac{35}{20}$

then to double check the sum, subtract it.

$\frac{35}{20}-\frac{17}{20}=\frac{9}{10}$

hope this make sense :/

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