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Tamiku [17]
3 years ago
6

Select the equivalent expression.

Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0

For this case we must find an expression equivalent to:(y ^ 3 * 2 ^ 5) ^ 2

By definition of power properties we have to meet:

(a ^ n) ^ m = a ^ {n * m}

So, rewriting the expression we have:

y^{3 * 2} * 2^ {5 * 2} =\\y^ 6 * 2^{10}

Answer:

Option B

y^6*2^{10}

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Using the diagram, which fraction is equivalent to 1?
Tcecarenko [31]

Answer:

5/5

Step-by-step explanation:

7 0
3 years ago
If there are 10 values in a data set, in order from smallest to largest, what is
8090 [49]

Answer:

If you meant median, the median would be the data in the middle.

Step-by-step explanation:

In this case, 1-2-3-4-5 (here) 6-7-8-9-10

5.5 would be in the middle because there is an even amount of numbers.

8 0
2 years ago
Read 2 more answers
Need help pls<br>thank you in advance ​
ira [324]

Answer:

<h3><u>Mean</u></h3>

<u />

\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}

\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10

\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10

<h3><u>Standard Deviation</u></h3>

\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}

\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}

\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's.  Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

5 0
1 year ago
Rectangle base of length 3x cm and width x cm, where x&gt;0. the height is y cm, where y&gt;0. The sum of the length, width and
olchik [2.2K]

Answer:

adD

Step-by-step explanation:

6 0
2 years ago
choose the standard form of the equation of the circle with radius 5 √ 3 centered at( -6, 2) please help ​
Ilia_Sergeevich [38]

Answer:

(x + 6)² + (y - 2)² = 75

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 6, 2) and r = 5\sqrt{3}, hence

(x - (- 6))² + (y - 2)² = (5\sqrt{3} )², that is

(x + 6)² + (y - 2)² = 75

8 0
3 years ago
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