36√(3)-(432/7+4√(3))=?

What is the mean absolute deviation of the data set?

Ronch [10]

Answer:

the mean absolute deviation of the data set is 2.

Step-by-step explanation:

To calculate the mean absolute deviation of a data set, we need to follow the following steps:

Step 1: Calculate the mean.

Step 2: Calculate how far away each data point is from the mean (always keeping a possitive distance).

Step 3: Calculate the mean of the deviations.

Step 1: The mean of the data set is:

Mean = (12 + 10 + 10 + 8 + 6+ 7 + 7 + 12)/8 = 72/8 = 9

Step 2:

{12 -9, 10-9, 10-9, 9-8, 9-6, 9-7, 9-7, 12-9} = {3, 1, 1, 1, 3, 2, 2, 3}

Step 3: (3 + 1 + 1 + 1 + 3 + 2 + 2 + 3)/8 = 2

In conclusion, the mean absolute deviation of the data set is 2. Which corresponds to the option B.

5 0

3 years ago

What’s the answer and work for this?

sergeinik [125]

to find the value of x, you have to subtract 95 from 180. so the value of x will be 85. to find the value of y, you have to add the value of x which is 85 to the given angle which is 50. the angle would be 135. since the triangle is 180 degree, now u subtract 135 from 180. and the value of y will be 45. so x is 85 degree and y is 45 degree. hope that helps.

8 0

4 years ago

Function tables with two-step rules Fill in the table using this function rule.<br> help asap

NeTakaya

Answers:

Answer for row one: 1

Answer for row two: 11

Answer for row three: 16

Answer for row four: 36

=========================================

Work Shown:

Whatever the x value is, we multiply by 5 and subtract off 14 to get the corresponding y value. This is following the order of operations PEMDAS

------------

If x = 3, then

y = 5*x - 14

y = 5*3 - 14 ..... note how x is replaced with 3

y = 15 - 14

y = 1

This means that when x = 3, the y value is y = 1.

So 1 goes in the box in the first row.

---------------

Repeat for x = 5

y = 5*x - 14

y = 5*5 - 14

y = 25 - 14

y = 11

We have 11 as the second answer.

--------------

Repeat for x = 6

y = 5*x - 14

y = 5*6 - 14

y = 30 - 14

y = 16

The third answer is 16.

--------------

Repeat for x = 10

y = 5*x - 14

y = 5*10 - 14

y = 50 - 14

y = 36

The last answer is 36.

3 0

4 years ago

What is the monomial if a square of a monomial is:1 9/16 a12b6

san4es73 [151]

Answer:

$1\dfrac{1}{4}a^6b^3$

Step-by-step explanation:

A square of a monomial is $1\dfrac{9}{16}a^{12}b^6$ that is $\dfrac{25}{16}a^{12}b^{6}$

Use properties of exponents:

$(a^m)^n=a^{mn}\\ \\\dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m\\ \\a^mb^m=(ab)^m$

Note that

$\dfrac{25}{16}=\dfrac{5^2}{4^2}=\left(\dfrac{5}{4}\right)^2\\ \\a^{12}=a^{6\cdot 2}=(a^6)^2\\ \\b^6=b^{3\cdot 2}=(b^3)^2$

Then

$\dfrac{25}{16}a^{12}b^{6}=\left(\dfrac{5}{4}\right)^2\cdot (a^6)^2\cdot (b^{3})^2=\left(\dfrac{5}{4}a^6b^3\right)^2$

So, the monomial is

$\dfrac{5}{4}a^6b^3=1\dfrac{1}{4}a^6b^3$

5 0

4 years ago

Please help me I’m struggling

ryzh [129]

Answer:

Step-by-step explanation:

Remark

This is a cosine law problem.

a = 12

b = 15

C = 83

Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.

Formula

c^2 = a^2 + b^2 - 2ab*cos(C)

Solution

c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)

c^2 = 144 + 225 - 360 * cos(83)

cos(83) = 0.1219

c^2 = 144 + 225 - 360 * 0.1219

c^2 = 369 - 43.884

c^2 = 325.116

sqrt(c^2) = sqrt(325.116)

c = 18.031

To the nearest tenth, the answer is 18.0 and you must include the 0.

4 0

3 years ago