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3 years ago

Which of the following expressions means "five factors of 3"? 35 0 05=3

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

8 0

$\text{Hey there!}$

$\large\text{Which of the following expressions means \underline{five factors of 3} ?}$

$\large\text{Basically, it is telling you that 3 is expressed as it rises to the 5th}\\\large\text{power}$

$\large\text{Based on SOME of the stuff we gathered above, we solved your}\\\large\text{equation/ question!}$

$\boxed{\boxed{\mathsf{Your\ answer: \boxed{\mathsf{3^5}}}}}\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\dfrac{\frak{LoveYourselfFirst}}{:)}$

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Step-by-step explanation:

Given:

Coin is tossed and a single 6 sided number cube is rolled.

Let the event of tossing head be 'H' and event of rolling a 3 be 'R3'.

Now, we know that:

Probability of an event 'A' = Favorable outcomes of 'A' ÷ Total possible outcomes

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Similarly, for rolling a 6 sided cube, the possible outcomes are numbers 1 to 6. So, the number of possible outcomes is, $n(S)=6$

Now, probability of rolling a 3 is given as:

$P(R3)=\frac{n(R3)}{n(S)}\\\\P(R3)=\frac{1}{6}$

Now, both the events 'H' and 'R3' occur together. So, the combined probability is the product of two individual probabilities as they are independent events. So,

$P(H\ and\ R3)=P(H)\times P(R3)\\\\P(H\ and\ R3)=\frac{1}{2}\times \frac{1}{6}\\\\P(H\ and\ R3)=\frac{1}{12}=0.083$

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Therefore, the probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.

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