# Given a set # {11, x ,-44, 1} #, for what x would the mean be 4?

A set's mean, also known as its average, is defined as

Thus, in this instance, substituting results in

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To find the value of ( x ) such that the mean of the set {11, ( x ), -44, 1} is 4, we use the formula for the mean (average):

[ \text{Mean} = \frac{\text{Sum of all elements}}{\text{Number of elements}} ]

Given that the mean is 4, and there are 4 elements in the set, we can set up the equation:

[ 4 = \frac{11 + x - 44 + 1}{4} ]

Now, we solve for ( x ):

[ 4 \times 4 = 11 + x - 44 + 1 ]

[ 16 = 11 + x - 44 + 1 ]

[ 16 = -32 + x ]

[ 16 + 32 = x ]

[ x = 48 ]

Therefore, for the mean of the set {11, ( x ), -44, 1} to be 4, the value of ( x ) must be 48.

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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.

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.

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.

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