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Masteriza [31]
3 years ago
14

if i I wanted to be precise, how can I express the exact circumference for the circumference given the diameter

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
The formula for circumference is \pi d.

To express the circumference exactly, plug the diameter in for d and put the \pi symbol in front of it. Don't multiply. This expresses the exact circumference.

Say you have the diameter of 17.
You can express the circumference with 17\pi.
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No links pls find the equation that represents the proportional relationship between in this graph
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Write the equation in standard form for the circle that has a diameter with endpoints (- 1, 12) and (- 1, 8)​
matrenka [14]

Answer:

The equation in standard form is (x + 1)^{2} + (y - 10)^{2} = 4

Step-by-step explanation:

The distance from (-1, 12) to (-1, 8) = 4 = diameter of the circle.  So, 2 = radius

The center of the circle is at (-1, 10)

The equation in standard form is (x + 1)^{2} + (y - 10)^{2} = 4

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Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer
aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that p = 0.7

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that n = 5

a. All five qualify for the favorable rate

This is P(X = 5). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

P(X \geq 4) = P(X = 4) + P(X = 5)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283

0.5283 = 52.83% probability that at least four qualify for the favorable rates

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ohaa [14]

Answer:

A. 15

B. 25.6

C. 41.6

Step-by-step explanation:

You need to divide

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