What is the area of a circle if the circumference is 30cm (express your answer in centimetres)

1 answer:

4 0

So before we can find the area, we first have to find the radius. We will do this by using the circumference formula, C = 2πr, to find the radius. Our equation will look like this: 30 = 2πr .

For this, all you need to do is divide both sides by 2π, and your answer will be 4.77 cm = r.

Now that we got the radius, we can solve for the area, which is A = πr^2.

A = π(4.77)^2

A = 22.7529π cm^2 or 71.48 cm^2

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In a particular course, it was determined that only 70% of the students attend class on Fridays. From past data it was noted tha

siniylev [52]

Answer: Probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

Step-by-step explanation:

Since we have given that

Probability that students attend class on Fridays = 70% = 0.7

Probability that who went to class on Fridays would pass the course = 95% = 0.95

Probability that who did not go to class on Fridays would passed the course = 10% = 0.10

Let A be the event students passed the course.

Let E be the event that students attend the class on Fridays.

Let F be the event that students who did not attend the class on Fridays.

Here, P(E) = 0.70 and P(F) = 1-0.70 = 0.30

P(A|E) = 0.95, P(A|F) = 0.10

We need to find the probability that they did not attend on Fridays.

We would use "Bayes theorem":

$P(F\mid A)=\dfrac{P(F).P(A\mid F)}{P(E).P(A\mid E)+P(F).P(A\mid F)}\\\\P(F\mid A)=\dfrac{0.30\times 0.10}{0.70\times 0.95+0.30\times 0.10}\\\\P(F\mid A)=\dfrac{0.03}{0.695}=0.043$