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daser333 [38]
2 years ago
10

1. a white candle has a circumference of 18.8 inches. what's the radius?

Mathematics
1 answer:
faltersainse [42]2 years ago
6 0

Answer:

  • 3 in
  • 3.5 in

Step-by-step explanation:

<u>Circumference formula:</u>

  • C = 2πr,
  • where π = 3.14, r - radius

1.

  • C = 18.8 in
  • 2*3.14r = 18.8
  • 6.28r = 18.8
  • r = 18.8/6.28
  • r = 2.99 ≈ 3 in

2.

  • C = 22 in
  • 6.28r = 22
  • r = 22/6.28
  • r ≈ 3.5 in
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3 years ago
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Answer:

(a) The probability distribution is valid.

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Step-by-step explanation:

The probability distribution of the random variable <em>X</em> is:

<em>    x</em>:  20   |  25  |  30   |   35

f (<em>x</em>): 0.20 | 0.15 | 0.30 | 0.35

(a)

The properties of a probability distribution are:

  1. 0 ≤ P (X) ≤ 1
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All the probability value are more than 0 and less than 1.

Compute the sum of all the probabilities as follows:

\sum P(X)=0.20+0.15+0.30+0.35=1

The sum of all probabilities is 1.

Thus, the probability distribution is valid.

(b)

Consider the probability distribution table.

The probability of <em>X</em> = 30 is,

P (X = 30) = 0.30.

Thus, the probability that x = 30 is 0.30.

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3 years ago
Ted has a credit card that uses the average daily balance method. For the first 9 days of one of his billing cycles, his balance
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The average daily balance method is based, obviously, on the <span>average daily balance, which is the average balance for every day of the billing cycle. Therefore, in order to calculate the average daily balance, you need to sum the balance of every day and then divide it by the days of the billing cycle.
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Now, in order to calculate the interest, you should first calculate the daily rate, since APR is usually defined yearly, and therefore:
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Finally, the expression to calculate the interest could be:
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