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4 years ago

The explicit rule for a sequence is given. an= 2/5 (5)^n−1

Mathematics

1 answer:

34kurt4 years ago

3 0

Step-by-step explanation:

A geometric series is:

an = a₁ (r)^(n-1)

Here:

an = 2/5 (5)^(n-1)

So a₁ = 2/5, and r = 5. So an = 5an-1.

Your answer is correct, well done!

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Exhibit 5-9 Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. R

Vikentia [17]

Answer:

Let X the random variable of interest "number of registered voters" in a random sample of n =5, on this case we now that:

$X \sim Binom(n=5, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

So then the best answer for this cas would be:

b. the number of registered voters in the nation

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of registered voters" in a random sample of n =5, on this case we now that:

$X \sim Binom(n=5, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

So then the best answer for this cas would be:

b. the number of registered voters in the nation

8 0

4 years ago

If the temperature after 4.4 degree drop was -2.5 degrees Celsius what was the temperature at noon

Lostsunrise [7]

Answer:

1.9°C

Step-by-step explanation:

Let X be the temperature at noon and -2.5°C be the current temperature after the drop.

-We calculate temperature at noon as:

$\bigtriangleup =t_o-t_n\\4.4=X--2.5\\\\X=4.4-2.5\\\\=1.5\textdegree C$

Hence, the temperature at noon was 1.9°C

5 0

3 years ago

2. Arrange these quantities in increasing order. (a) 8.06 kg, 8 kg 6 g, 8600 g 2 . Arrange these quantities in increasing order

Nonamiya [84]

Answer:

8 kg 6g, 8.06 kg , 8600g

Step-by-step explanation:

If you get this correct, don't forget to drop rating.

8 0

2 years ago

Read 2 more answers

What kind of sequence is this? 5, 8, 13, 21, arithmetic geometric both neither

Ivanshal [37]

Answer:

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8 0

3 years ago

Simplify: 4z+3/15+8q+2/15+6z-4q

Liono4ka [1.6K]

The answer would be 10z+1/3+4q

7 0

3 years ago