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Flura [38]
3 years ago
14

Identify the seventh term in the sequence in which a1=4096 and r=1/2

Mathematics
1 answer:
Alex777 [14]3 years ago
3 0
An=a*q^(n-1)
a7=a*q^6
a7=4096*(1/2)^6=4096/32=128
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Can you help me please
xenn [34]
(2, -3)

The Answer is A
3 0
3 years ago
Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w
MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution 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.

42% of Americans voted in the previous national election.

This means that p = 0.42

Three Americans are randomly selected

This means that n = 3

What is the probability that none of them voted in the last election

This is P(X = 0).

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

P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951

19.51% probability that none of them voted in the last election

6 0
2 years ago
The average of 5 numbers is 20. what is the sum of these same numbers?
Vinil7 [7]
Average = (A₁+A₂+A₃+A₄+A₅)/5. Since average = 20 (GIVEN), then:

20 = (A₁+A₂+A₃+A₄+A₅)/5

Or (A₁+A₂+A₃+A₄+A₅) = 20x5

(A₁+A₂+A₃+A₄+A₅) = 100

4 0
3 years ago
What is 50/2537 in simplified version?
Zigmanuir [339]

Answer:.01

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
3/8 x 2/6 x 4/8 x 5/12
Evgesh-ka [11]

Answer:

\frac{5}{192}

Step-by-step explanation:

\frac{3}{8} * \frac{2}{6} * \frac{4}{8} * \frac{5}{12}

Multiply all numerators

3 * 2 * 4 * 5 = 6 * 20 = 120

Multiply all denominators

8 * 6 * 8 * 12 = 48 * 96 = 4,608

\frac{120}{4608}

Simplify

\frac{5}{192}

Hope this helps :)

3 0
2 years ago
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