5,-5,5,-5 recursive rule

Mathematics

1 answer:

Lisa [10]2 years ago

6 0

Answer: $a(0)=5, a(n)=a(n-1)*(-1)$

Step-by-step explanation:

You start with 5. Then the next term (-5) will be the previous term (5) multiplied by -1. Then you get 5*-1 = -5

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According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. 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.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that $p = 0.304$

100 such adults

This means that $n = 100$

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

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

$P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803$

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

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2 years ago

What is the complete factorization of 3x2 + 22x − 16?

EleoNora [17]

Answer:

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Step-by-step explanation:

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Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)?

artcher [175]

Answer: Option 3.

Step-by-step explanation:

1. To simplify the expression shown in the problem, the first step is to apply the Distributive property, this means that you must multiply the number that are outside of the parentheses by the numbers inside of them.

2. Then, you have that the first step is:

$2x-3(x+2y)-5(y-7x)=2x-3x-6y-5y+35x$