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1 year ago

In tossing a coin six times, is the sequence hthhtt more likely than the sequence hhhhhh?

Mathematics

1 answer:

MaRussiya [10]1 year ago

8 0

No all sequences are equally as likely

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Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En

ArbitrLikvidat [17]

Answer:

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , c) $x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$ , $y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$ .

Step-by-step explanation:

The equation of the circle is:

$x^{2} + (y-1)^{2} = 16$

After some algebraic and trigonometric handling:

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1$

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t$

Where:

$\frac{x}{4} = \cos t$

$\frac{y-1}{4} = \sin t$

Finally,

$x = 4\cdot \cos t$

$y = 1 + 4\cdot \sin t$

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

c) $x = 4\cdot \cos t''$ , $y = 1 + 4\cdot \sin t''$

Where:

$4\cdot \cos t' = 0$

$1 + 4\cdot \sin t' = 5$

The solution is $t' = \frac{\pi}{2}$

The parametric equations are:

$x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$

$y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$

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3 years ago

Which of the following is a repeating decimal when converted to decimal form?

Agata [3.3K]

I believe the answer is 1/3

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3 years ago

A word that describes how two words relate to each other in a sentence is

garik1379 [7]

Answer:
A preposition
Explanation:

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Find the value of k if the line y = kx + 2 goes through the point<br><br> A (-2, 4)

viktelen [127]

Answer:

k=-1

Step-by-step explanation:

check is the equation goes through the point (-2,4)

4=-(-2)+2

4=2+2

4=4

this line goes through the point (-2,4)

Hope this helps UwU...

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A pet store has 15 birds and 75 fish.

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1/5

Step-by-step explanation:

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