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masha68 [24]
3 years ago
10

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

Mathematics
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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Step-by-step explanation:

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Write an expression that represents the difference of 32 and N multiplied by 10
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(32-n)10________________
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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.

Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.

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}  

                                           ⇒ \sigma = 0.0608 * \sqrt{30}  {as sample size is given 30}

                                           ⇒ \sigma = 0.03 .

Therefore, Standard deviation for the population of products produced with this process is 0.0333.

7 0
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 :/

6 0
3 years ago
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