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Makovka662 [10]
3 years ago
15

What is a formula for the nth term of the given sequence? 36, 24, 16...

Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

a_{n} = \frac{a_{1}(r^{n})}{r}

In this example, we have a_{1} = 36 (the first term in the sequence) and

r = \frac{2}{3} (the rate in which the sequence is changing).

Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

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Write L if it is likely to happen and U if unlikely to happen.
maria [59]

Answer:

Probabilities

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a.      4/5                                 5/8

b.     3/5                                  3/8

c.     4/5                                  4/7

d.    0.3                                  0.09

e.    5/6 and 4/5                   2/3

Step-by-step explanation:

Probabilities in Percentages:

a. The probability of 4/5 = 80% and 5/8 = 62.5%

b. The probability of 3/8 = 37.5% and 3/5 = 60%

c. The probability of 4/5 = 80% and 4/7 = 57%

d. The probability of 0.3 = 30% and 0.09 = 9%

e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%

b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms.  When this is done, the relative sizes become obvious, and then, comparisons can be made.

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3 years ago
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What is the average (arithmetic mean) of 5, 7, 12, and 12?
My name is Ann [436]
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The average is 9.
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3 years ago
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Answer:

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b. Discrete

c. Not a random variable

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Step-by-step explanation:

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e. The number of free dash throw attempts are countable so it is a discrete random variable

f. The weight of Upper T dash bone steak is measurable and so it is a continuous random variable.

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Step-by-step explanation:

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