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wlad13 [49]
3 years ago
9

A random sample (Sample 1) of the Mercedes's average driving speed (km/h) is: 120, 142, 142, 165, 132, 130, 156, 136, 167, 139,

144. A random sample (Sample 2) of the Audi's average driving speed (km/h) is: 112, 145, 146, 165, 163, 141, 112, 134, 113, 114, 125. What is the median of Sample 1? What is the median of Sample 2?
Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

The median of Mercedes' speed is 144 km/h.

The median of Audi's speed is ~133,6 km/h.

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ANSWER

y = 5\sin( \frac{\pi}{3} x  -  \frac{2\pi}{3} )

EXPLANATION

Let the equation of the sine curve be of the form;

y = a \sin(bx + c)

where a=5 is the amplitude and period,

\frac{2\pi}{b}  = 6

This implies that

b =  \frac{2\pi}{6}

b =  \frac{\pi}{3}

We substitute the values we got so far into our equation to obtain;

y = 5\sin( \frac{\pi}{3} x + c)

When we substitute (2,0) we obtain;

0= 5\sin( \frac{2\pi}{3}  + c)

Solve for c.

\sin( \frac{2\pi}{3}  + c)  = 0

\frac{2\pi}{3}  + c =   \sin^{ - 1} (0)

\frac{2\pi}{3}  + c =   0

c =  - \frac{2\pi}{3}

Hence our equation becomes

y = 5\sin( \frac{\pi}{3} x  -  \frac{2\pi}{3} )

The correct choice is D.

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Step-by-step explanation:

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