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3 years ago

What is the mean absolute deviation of the the following set of data 6 10 8 8

Mathematics

2 answers:

muminat3 years ago

6 0

Answer:

The Mean Absolute Deviation is 1

Step-by-step explanation:

9966 [12]3 years ago

3 0

Answer:

Mean Absolute Deviation (MAD) = 1

Step-by-step explanation:

1) To find the mean absolute deviation of the data, start by finding the mean of the data set.

6, 10, 8, 8

2) Find the sum of the data values, and divide the sum by the number of data values.

6 + 10 + 8 + 8 = 32 / 4 = 8

mean = 8

3) Find the absolute value of the difference between each data value and the mean: |data value – mean|.

6 - 8 = | -2 | = 2

10 - 8 = 2

8 - 8 = 0

4) Find the sum of the absolute values of the differences.

2 + 2 + 0 + 0 = 4

5) Divide the sum of the absolute values of the differences by the number of data values.

4/4= 1

Hope this helped :)

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Find the prime factorization of 120.

artcher [175]

Answer:

(7/8 - 4/5)^2 = 9/

1600

= 0.005625

Step-by-step explanation:

Subtract: 7/

- 4/

= 7 · 5/

8 · 5

- 4 · 8/

5 · 8

= 35/

- 32/

= 35 - 32/

= 3/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven eighths minus four-fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = 3/

^ 2 = 32/

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= 9/

1600

In words - three-fortieths squared = nine one-thousand six-hundredths.

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2 years ago

Rex took out a loan for $5000 and planned to pay it back in 4 years. If he paid $600 in interest for those 4 years, what was the

Gwar [14]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$600\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases} \\\\\\ 600=5000(\frac{r}{100})(4)\implies \cfrac{600}{5000(4)}=\cfrac{r}{100}\implies \cfrac{3}{100}=\cfrac{r}{100}\implies \boxed{3=r}$

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2 years ago

Over which interval is the graph of the parent absolute value function f(x)=|x| decreasing?

pogonyaev

Answer:

(–∞, 0)

Step-by-step explanation:

The graph of the absolute value parent function f(x) = |x| is shown in the attached diagram.

We can clearly see that from -∞ to 0, the function is decreasing and from 0 to +∞, it is increasing. This is the basic, parent absolute value function.

THe questions asks, when is it decreasing, so clearly, it is from -∞ to 0.

This is the answer.

7 0

3 years ago

What is the value of x?

Hitman42 [59]

Answer:

Step-by-step explanation:

Since RQT=155

4x-20+3x+14=155

7x-6=155

7x=161

x=23

3 0

2 years ago

Read 2 more answers

Find a. Round to the nearest tenth.

Kazeer [188]

9514 1404 393

Answer:

21.8 cm

Step-by-step explanation:

A useful way to write the Law of Sines relation when solving for side lengths is ...

a/sin(A) = b/sin(B)

Then the solution for 'a' is found by multiplying by sin(A):

a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)

We need to know the angle A. Its value is ...

A = 180° -75° -31.8° = 73.2°

Then the desired length is ...

a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)

a ≈ 21.8 cm

_____

I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.

6 0

3 years ago