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r-ruslan [8.4K]
3 years ago
15

Brian rolls a fair dice and flips a fair coin.

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Answer:

The probability of obtaining a head is 1/2 or 50% chance.

The probability of obtaining a 2 is 1/6

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\dfrac{10}{14}=\dfrac{10:2}{14:2}=\dfrac{5}{7}\\\\\dfrac{10}{14}=\dfrac{10\cdot2}{14\cdot2}=\dfrac{20}{28}\\\\\dfrac{10}{14}=\dfrac{10\cdot3}{14\cdot3}=\dfrac{30}{42}\\\\\dfrac{10}{14}=\dfrac{5}{7}=\dfrac{5\cdot5}{7\cdot5}=\dfrac{25}{35}\\\vdots

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\boxed{y=5(1.05)^t\to\:5\% \:rate \:of \:growth}

\boxed{f(t)=50(.95)^t\to\:5\% \:rate \:of \:decay}

\boxed{g(t)=50(1.5)^t\to\:50\% \:rate \:of \:growth}

\boxed{y=5(.5)^t\to\:50\% \:rate \:of \:decay}

Step-by-step explanation:

We can rewrite the given functions in the form f(x)=a(100\%+r\%)^x to determine the rate of growth or f(x)=a(100\%-r\%)^x to determine the rate of decay

y=5(1.05)^t=5(100\%+5\%)^t\to\:5\% \:rate \:of \:growth

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g(t)=50(1.5)^t=50(100\%+50\%)^t\to\:50\% \:rate \:of \:growth

y=5(.5)^t=5(100\%-50\%)^t\to\:50\% \:rate \:of \:decay

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