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vesna_86 [32]
3 years ago
7

Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675

the third year, 11,850 the fourth year, and 13,075 the fifth year. a. Find the mean, median, and mode of this data. b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year.
Mathematics
1 answer:
kvv77 [185]3 years ago
6 0

Answer:

Part a)

Mean: 13155.6

Mode:None

Median: 12700

Step-by-step explanation:

12700 : 1

15478: 2

12675: 3

11850: 4

13075: 5

Mean :  

=\frac{Sum of all values}{Total no. of values} \\=\frac{12700 + 15478 + 12675 + 11850 + 13075}{5}\\=\frac{65778}{5}\\= 13155.6

Mode:

All values are distinct, therefore there is no mode. A mode is value which occurs most frequently.

Median:

Arrange the values in ascending order:

11850 , 12675, 12700, 12075, 15478

The mid value is median: 12700


Part b)

It depends upon the data. In this question the best way to predict how many miles Gina will drive in the next years is by using Median of the data.

The reason is that there is a potential outlier in the data  i.e 15478. In case of outlier median tends to give better predictions.

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The radius of a cylindrical gift box is ​(4x + 1​) inches. The height of the gift box is three times the radius. What is the sur
user100 [1]

Answer:

S = 128πx² + 64πx + 8π

Step-by-step explanation:

Suraface area of a cylinder is given by:

S = 2πrh + 2πr²

We know that the height is 3 times as big as the radius, hence:

h = 3r

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S = 2πrh + 2πr²

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S = 6πr² + 2πr²

S = 8πr²

We're given in the question that the radius is ​(4x + 1​) inches, so plug that into r.

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Problems with Equations: Mastery Test
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Step-by-step explanation:

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Sin(xy)-x=0 find dy/Dx
MariettaO [177]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2989024

——————————

You have  y  as an implicit function of  x:

sin(xy) – x = 0


Use implicit differentiation. As  y  is a function of  x, then you must apply the chain rule there:

  d                                 d
—— [ sin(xy) – x ]  =  —— (0)
 dx                               dx


  d                           d               d
—— [ sin(xy) ]  –  —— (x)  =  —— (0)
 dx                         dx             dx

  d
—— [ sin(xy) ]  –  1  =  0
 dx

  d
—— [ sin(xy) ]  =  1
 dx
 
                   d
cos(xy)  ·  —— (xy) = 1
                  dx


Now, apply the product rule for that last derivative:

\mathsf{cos(xy)\cdot \left[\dfrac{d}{dx}(x)\cdot y+x\cdot \dfrac{dy}{dx}\right]=1}\\\\\\
\mathsf{cos(xy)\cdot \left[1\cdot y+x\cdot \dfrac{dy}{dx}\right]=1}\\\\\\
\mathsf{y\,cos(xy)+x\,cos(xy)\cdot \dfrac{dy}{dx}=1}


              dy
Isolate  —— :
              dx

                   dy
x cos(xy) · ——  =  1 – y cos(xy)
                   dx


Assuming  x cos(xy) ≠ 0,

 dy          1 – y cos(xy)
——  =  ————————    <———    this is the answer.
 dx            x cos (xy)


I hope this helps. =)

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