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Given the set: # {-6,x,7,11,29,-4,-5} #, for what x would the mean of the set be -9?

Answer 1

Andrew Adams

#color(white)(xx)x=-95#

#color(white)(xx)bar a =1/nsum_(i=1)^n a_i# (the mean of a set of n data points)

#color(white)(xx)-9=1/7sum_(i=1)^7 a_i# #=>(-6+x+7+11+29-4-5)/7=-9#

Multiply both sides by #7# #color(white)(xx)color(red)(7*)(-6+x+7+11+29-4-5)/7=color(red)(7*)(-9)# #=>x+32=-63#

Add #-32# to both sides #color(white)(xx)x+32color(red)(-32)=-63color(red)(-32)# #=>x=-95#

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Answer 2

Cameron Adams

To find the value of x for which the mean of the set is -9, you need to calculate the mean of the given set and then solve for x.

Mean = (sum of all numbers in the set) / (number of elements in the set)

First, sum all the numbers in the set:

-6 + x + 7 + 11 + 29 - 4 - 5

Then, count the total number of elements in the set, which is 7.

Now, set up the equation for the mean:

Mean = (sum of all numbers) / (number of elements)

Plug in the given mean value, -9, and the sum of the numbers, then solve for x:

-9 = (sum of all numbers) / 7

Once you have the equation, solve for x.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.