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Serjik [45]
3 years ago
5

Which of the following equations have infinitely many solutions? 

Mathematics
1 answer:
Bond [772]3 years ago
8 0

Answer:

Equation I , II and V.

Step-by-step explanation:

Number II:L

0.5(8x + 4) = 4x + 2    Distributing the 0.5 over the parentheses:

4x + 2 = 4x + 2

The 2 sides of this equation are identical so we can make x any value to fit this identity. That is there are Infinite Solutions.

I and V are also included:

I: 12x + 24 = 12x + 24.

V left side = right side.

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Find the value of x such that the data set has the given mean. 98,122,104,115,107,x,102 x=(Type an integer or a​ decimal.)
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Answer:

x = 66

Step-by-step explanation:

For a set of N numbers:

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The mean can be calculated as:

M = \frac{x_1 + x_2 + ...+ x_n}{N}

In this case we have the data set:

{98, 122, 104, 115, 107, x}

And I assume that we want to have the mean = 102.

So we have a set of 6 numbers, the mean of this set will be:

M = \frac{98 +122+104+115+107+x}{6} = 102

We need to solve this equation for x.

If we multiply both sides by 6, we get:

(98 + 122 + 104 + 115 + 107 + x) = 102*6 = 612

546 + x = 612

x = 612 - 546 = 66

x = 66

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