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3 years ago

100 Points!!!!!!! Please Hurry!

Mathematics

2 answers:

Nutka1998 [239]3 years ago

4 0

100 points thank you

Veronika [31]3 years ago

3 0

Answer:

100 points thanks

Step-by-step explanation:

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For the data set 6,5,10,11,13, the mean, x, is 9. What is the standard deviation?

Ratling [72]

Answer:

3.39

Step-by-step explanation:

We will use SD formula to find our answer.

$\sigma=\sqrt{ \frac{\sum (x-\overline{x})^{2}}{N-1} }$

$\sigma$ = Standard deviation.

$\overline{x}$ = Mean.

N= Numbers of data-points.

We have been given that mean of our data set is 9. So we will find the square of each data point's distance to the mean.

Now let us substitute our given values in above formula.

$\sigma=\sqrt{ \frac{(6-9)^{2}+(5-9)^{2}+(10-9)^{2}+(11-9)^{2}+(13-9)^{2}}{5-1} }$

$\sigma=\sqrt{ \frac{(-3)^{2}+(-4)^{2}+(1)^{2}+(2)^{2}+(4)^{2}}{4} }$

Upon adding the square of distances we will get,

$\sigma=\sqrt{ \frac{9+16+1+4+16}{4} }$

$\sigma=\sqrt{ \frac{46}{4} }$

Upon dividing 46 by 4 we will get,

$\sigma=\sqrt{ 11.5}$

Upon taking square root of 11.5 we will get,

$\sigma=3.3911649915626341\approx 3.39$

Therefore, the standard deviation for our given data set will be 3.39.

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3 years ago

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Which pairs of integers would have a negative product?

iVinArrow [24]

Answer:

(_1,_7),(_2,_6),(_3,_5),(_4,_4)(_5,_3)

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3 years ago

If the earth rotates 15° each hour how long does it take to rotate 1°? Show your work

mojhsa [17]

It will take 4 minutes to rotate 1º because 15 divided by 15 is one (to get 1º) and 60 (1 hour) divided by 15 is 4.

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3 years ago

What is the volume of a cone that has a height of 17 M and a base with a radius of 6 meters?

asambeis [7]

Answer:

V = 640.8849

Step-by-step explanation:

Using the equation for the volume of a cone, all you have to do is plug in the given values of height (h) and radius (r)!

$V=pi(r^2)*\frac{h}{3}$

So you end up getting something looking like

$V=3.14159(36)(\frac{17}{3})\\V=640.8849$

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3 years ago

What is the missing step in this proof?

OLEGan [10]

The missing proof is the third statement

¹²³⁴⁵⁶⁷⁸⁹⁰⁹⁸⁷⁶⁵⁴³²¹
₁¹₁¹₁

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4 years ago

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