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Andreas93 [3]
3 years ago
15

What is the mean of the data set? {32, 33, 34, 34, 36, 38, 38, 38, 40, 42}

Mathematics
2 answers:
Sphinxa [80]3 years ago
7 0
Add all the numbers:

32 + 33  34 + 34 + 36 + 38 + 38 + 38 + 40 + 42 = 365

There are 10 numbers.

Divide:
Total by how many numbers there are

Total = 365
Numbers = 10

365 / 10 = 36.5

The mean is 36.5

Hope this helped☺☺


slavikrds [6]3 years ago
3 0
36.5 is the mean of the set of data. The mean Is the average of the set. To find the average you:

1) Add up all of the numbers in your set. (365)
2) Then, divide the sum by the quantity of numbers. (365/10=36.5)
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Are the following ratios proportional?<br><br> 5:8 and 25:40<br><br> a) Yes<br> b) No
Alenkasestr [34]

Answer:

a)yes

Step-by-step explanation:

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5 0
3 years ago
Suppose the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars
GuDViN [60]

Answer:

Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

Step-by-step explanation:

We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.

<em>Let X = incomes for the industry</em>

So, X ~ N(\mu=95,\sigma^{2}=5^{2})

Now, the z score probability distribution is given by;

         Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean income of firms in the industry = 95 million dollars

            \sigma = standard deviation = 5 million dollars

So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)

    P(X < 100) = P( \frac{X-\mu}{\sigma} < \frac{100-95}{5} ) = P(Z < 1) = 0.8413   {using z table]

                                                     

Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

5 0
3 years ago
|2s|+19=13<br> Help me please
Mnenie [13.5K]

 \textsf{Hey there!}

\mathsf{|2s| + 19= 13}\\\textsf{Solve both sides by -19}\\\mathsf{|2s|+19+ (-19)=13+(-19)}\\\mathsf{Cancel\ out:\ 19 + (-19) \  because\ that\ gives\ you\ 0}\\\mathsf{Keep: 13 + (-19)\ because\ that\  helps\ us\ solve\ for\ our\ answer}\\\mathsf{13 + (-19) = -6}\\\mathsf{Solve\ for\ absolute\ value: |2s| = -6}\\\mathsf{Any\ absolute\ values\ CANNOT\ be\ less\ than\ 0}\\\mathsf{\boxed{\boxed{\mathsf{Thus, \ this\ make\ your\ answer\ is: \boxed{\boxed{\bf{No\ solution}}}}}}}\checkmark

\textsf{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

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3 years ago
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