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3 years ago

Jonas wrote 9+8=17 what number sentence shows the commutative property of addition?

2 answers:

5 0

9+8=8+9 the trick for commutative is there are two m's in commutative right? well no matter where the mm's are it is still the same word so just like the answer is still the same where ever they go.

Andrei [34K]3 years ago

4 0

9+8 =8+9
You can rearrange the problem but in addition the answer is always the same.

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2 years ago

If you add 3 groups of 10 to 100, what is the total? How do you know?

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2 years ago

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Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200 square units. She places a circle in th

Katarina [22]

Answer:

Step-by-step explanation:

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula;

⇒ $d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

⇒ $r = \sqrt{(6.3 - 0)^{2} + (1.6 - 0)^{2}}$

⇒ $r = 6.5$

Now we calculate the area;

⇒ $A = \pi r^{2}$

⇒ $A = \pi (6.5)^{2}$

⇒ $A = \frac{169}{4}\pi$

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

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1 year ago

Find the standard deviation of 21, 31, 26, 24, 28, 26

Vesnalui [34]

Given the dataset

$x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}$

We start by computing the average:

$\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26$

We compute the difference bewteen each element and the average:

$x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}$

We square those differences:

$(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}$

And take the average of those squared differences: we sum them

$\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69$

And we divide by the number of elements:

$\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5$

Finally, we take the square root of this quantity and we have the standard deviation:

$\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39$

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3 years ago