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BARSIC [14]
3 years ago
6

Five members of the soccer team and five members of the track team ran the 100-meter dash. Their times are listed in the table b

elow:
soccer track
12.1 12.2
13.8 11.3
12.6 11.9
11.2 12.1
14.7 13.2


What is the difference of the means for the two groups?
12.14
12.88
25.02
0.74
Mathematics
2 answers:
viva [34]3 years ago
5 0
The last one....0.74
enyata [817]3 years ago
4 0

Answer:  The correct option is (D) 0.74.

Step-by-step explanation:  Given that five members of the soccer team and five members of the track team ran the 100-meter dash.

Their times are listed in the table below:

soccer   12.1    13.8   12.6   11.2   14.7

track       12.2   11.3    11.9   12.1    13.2

We are to find the difference of the means for the two groups.

The MEAN is equal to the average of a given data.

For Soccer team, the mean is given by

M_s=\dfrac{12.1+13.8+12.6+11.2+11.7}{5}=12.88,

and for Track team, the mean is given by

M_t=\dfrac{12.2+11.3+11.9+12.1+13.2}{5}=12.14,

Therefore, the difference of the means for the two groups is

D=M_s-M_t=12.88-12.14=0.74.

Thus, the required difference is 0.74.

Option (D) is correct.

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Answer:

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Step-by-step explanation:

Although there's multiple ways to solve this problem, my method will be to simply find the area for the full triangle (the empty + orange triangles) and subtract the area of the smaller, empty triangle.

Now, you that area for a triangle is 1/2*base*height.

To find the measurements for the full triangle, you must add up the bases for the two smaller triangles:

Base_{total}  = Base_{empty} + Base_{orange}  \\Base_{total} = 1.9ft + 3.1 ft\\Base_{total} = 5 ft

Height is the same for both triangles so Height total = 4 ft.

Now the total area can be calculated:

Area total= 1/2* base_total * height_total

Area total = 1/2 * 5ft * 4 ft  

Area total = 20 / 2 = 10 ft squared

Lastly, subtract the area of the empty triangle from the total triangle to find the orange triangle.

Area Empty Triangle = 1/2 * base_empty * height_empty

Area Empty Triangle = 1/2 * 1.9ft * 4 ft = 7.6 ft / 2 = 3.8 ft squared

Area total - Area empty = 10ft^2 - 3.8ft^2 = 6.2 ft squared

8 0
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Volgvan

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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