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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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The curves r1(t) = 4t, t2, t3 and r2(t) = sin(t), sin(5t), 2t intersect at the origin. find their angle of intersection, θ, corr
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First get the tangent vectors by differentiating r1 and r2 
r_1 '(t) = (4,2t,3t^2) \\  \\  r_2'(t) = (cos (t), 5 cos(5t), 2)
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Use identity for angle between 2 vectors:
u*v = |u| |v| cos \theta

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Sub into identity and solve for theta:
4 = 4 \sqrt{30} cos \theta \\  \\ cos\theta = \frac{1}{\sqrt{30}} \\  \\ \theta = 79.48

Answer:
Angle of intersection is about 79 degrees.




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