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lakkis [162]
3 years ago
14

Solve 2^16x=16^2x for x

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0
2^(16x)=16^(2x)


16=2⁴

2^(16x)=(2⁴)^(2x)
2^(16x)=2^(4*2x)
2^(16x)=2^(8x)

Therefore:
if a^n=a^m  ⇒n=m

16x=8x
16x-8x=0
8x=0
x=0/8=0

Answer: x=0
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Sorted or rearranged data {0, 0, 1, 1, 2, 2, 2, 14}

Median of the data provided;

Median is the mid point value of the data provided to us, but as in this case there are 8 data provided (even number of data), we will take the average of the 2 mid values of the data.

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\bold{Median=\dfrac{1+2}{2} = 1.5}

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Mean=\dfrac{Sum\ of\ all\ data\ values}{Number\ of\ data\ values} \\\\Mean= \dfrac{(0+0+1+1+2+2+2+14)}{8}\\\\Mean=2.75

As we know, The data values provided are 0, 1 and 2, and there is 14 as well in the data which is the maximum value in the data provided to us but the value is far from the other data values provided to us. Therefore, the data value 14 is considered to be an outlier.

An outlier is the maximum value that increases the mean, which makes it larger than it should be.

If we were to compute the mean without the outlier,

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Therefore, the median value of 1.5 is the right option.

Hence, the student's friend watch 1.5 movies every week.

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brainly.com/question/1363341

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