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wolverine [178]
3 years ago
13

What is the MAD of this numbers?

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0
We know that
The MAD is <span>the mean absolute deviation of the data

step 1
</span><span>To find the mean absolute deviation of the data, start by finding the mean of the data set.
</span><span>Find the sum of the data values, and divide the sum by the number of data values
</span>sum of the data values=[130+150+190+100+175+120+165+140+180+190]
sum of the data values=1540
number of data=10
Mean=1540/10-----> 154

step 2
<span>Find the absolute value of the difference between each data value and the mean: |data value – mean|.
</span> |130 – 154|=24
 |150 – 154|=4
 |190 – 154|=44
 |100 – 154|=54
 |175 – 154|=21
 |120 – 154|=34
 |165 – 154|=11
 |140 – 154|=14
 |180 – 154|=26
 |190 – 154|=44

step 3
<span>Find the sum of the absolute values of the differences.
</span>=[24+4+44+54+21+34+11+14+26+44]------> 276

step 4
<span>Divide the sum of the absolute values of the differences by the number of data values.
</span>276/10-----> 27.6

the answer is
27.6
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What happens to the volume of a rectangular prism when its length is tripled?
earnstyle [38]

The volume of a rectangular prism is represented by the following equation:

V=wlh

where w is the width , l is the length, and h is the height

Replace l with 3l since the length is tripled

V_0=w(3l)h

=3(wlh)

From this, we see that this new volume is 3x larger than the original. Thus, the volume is tripled when its length is tripled.

Let me know if you need any clarifications, thanks!

3 0
3 years ago
Which best describes the relationship between the two triangles below?
Nostrana [21]

Answer:

They are SIMILAR triangles

Step-by-step explanation:

Given triangles MNL and FHG with two of their angles to be 51° and 36° respectively. Their third angle is expressed as:

180°-(51°+36°)

= 180°-87°

= 93°

Their third angle is 93°

Since both triangles have the same angles in them, both triangles are considered as similar triangle even though the value of their sides are different due to angle differences in both.

Note that individual triangles are scalene triangles since their angles are not the same but the both triangles are similar triangles based on their relationship.

3 0
3 years ago
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen t
Kryger [21]

Answer:

The correct answer will be:

-\dfrac{62}{23}

Step-by-step explanation:

It is given that :

Initial temperature, T_1 = 0^\circ F

Final temperature,

T_2 = -15\dfrac{1}{2}^\circ F\\\Rightarrow T_2 = -\dfrac{15\times 2+1}{2} ^\circ F\\\Rightarrow T_2 = -\dfrac{31}{2} ^\circ F

Time taken :

5\dfrac{3}{4}\ hrs = \dfrac{5 \times 4+3}{4}\ hrs = \dfrac{23}{4}\ hrs

Change in temperature per hour:

\dfrac{\text{Difference of temperature}}{\text{Total Time Taken}}\\\Rightarrow \dfrac{T_2-T_1}{\text{Total Time Taken}}

Putting the values of temperatures and time:

\dfrac{\dfrac{-31}{2}-0}{\dfrac{23}{4}}\\\Rightarrow \dfrac{\dfrac{-31}{2}}{\dfrac{23}{4}}\\\Rightarrow \dfrac{-31 \times 4}{2 \times 23}} \text{---- Error done by Wen at this step}\\\Rightarrow \dfrac{-31 \times 2}{23}}\\\Rightarrow \dfrac{-62}{23}}

The error done by Wen was during calculating the values of fraction.

So, the correct answer is :\frac{-62}{23}} instead of \frac{-713}{8}

5 0
3 years ago
Read 2 more answers
Compare 9 * 10^4 to 3 * 10^2. (A) 9 * 10^4 is 3 times larger than 3 * 10^2 (B) 9 * 10^4 is 30 times larger than 3 * 10^2 (C) 9 *
dexar [7]

Answer:

9 * 10^4 is 300 times larger than 3 * 10^2

Step-by-step explanation:

Here, we want to compare the two figures and give the verdict on how big they are

as we can see, by squaring the second figure, we get the first

Mathematically, what we are saying is that;

(9 * 10^4) = (3 * 10^2)^2

So

basically, the difference between the two is to the tune of (3 * 10^2)

Hence we can conclude that the first number is 300 times bigger than the second number

7 0
2 years ago
Solve the following system using the substitution method.
Liono4ka [1.6K]
X = (15 - 8y)/9

-5[(15 - 8y)/9] + 12y = -107

(-75/9) + (40/9) + 12y = -107

y = -8.59

x = [15 - 8(-8.59)]/9

x = 9.3
(x,y) = (9.3, -8.59)

3 0
3 years ago
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