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3 years ago

Which term is the perfect square of 3x^4? a. 6x^8 b. 6x^16 c. 9x^8 d. 9x^16

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

$(3x^4)^2=3^2(x^4)^2=9x^{4\cdot2}=9x^8\\\\Used:\\)a\cdot b)^n=a^n\cdot b^n\\(a^n)^m=a^{n\cdot m}$

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MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= $100,100,105,113,129,132,146,176,200$

The 30th percentile is located at

$(\frac{30}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = $\frac{105+113}{2}=\frac{218}{2}=109$

The 90th percentile is located at

$(\frac{90}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = $\frac{176+200}{2}=\frac{376}{2}=188$

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3 years ago