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3 years ago

11

the probability of rolling a 6 on a biased dice is 1/5 1) complete the tree diagram. 2) Work out the probability of rolling two

sixes.

1 answer:

pickupchik [31]3 years ago

6 0

Answer:

Step-by-step explanation:

Not 6 on all rolls in the diagram = 4/5

6 on all rolls in the diagram is 1/5

To find the probablity of rolling two sixes, 1/5 x 1/5 = 4/100 = 0.04 = 4%

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Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.

Delicious77 [7]

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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