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podryga [215]
2 years ago
10

Is the sequence Arithmetic, Geometric, or Neither? 3,-6,-15,-24,...

Mathematics
1 answer:
snow_tiger [21]2 years ago
8 0

Answer:geometric

Step-by-step explanation: purrrr

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Let n be a positive integer and define [n] to be the set of the first n positive integers. That is, [n] = {1, 2, 3, . . . , n}.
yaroslaw [1]

Answer: There are 2^{n-1} ways of doing this

Hi!

To solve this problem we can think in term of binary numbers. Let's start with an example:

n=5,  A = {1, 2 ,3},  B = {4,5}

We can think of A as 11100, number 1 meaning "this element is in A" and number 0 meaning "this element is not in A"

And we can think of B as 00011.

Thinking like this, the empty set is 00000, and [n] =11111 (this is the case A=empty set, B=[n])

This representation is a 5 digit binary number. There are 2^5 of these numbers. Each one of this is a possible selection of A and B. But there are repetitions: 11100 is the same selection as 00011. So we have to divide by two. The total number of ways of selecting A and B is the 2^{5-1} = 2^4.

This can be easily generalized to n bits.

6 0
3 years ago
How to find a rule and extend a pattern
makvit [3.9K]
    Look for a relationship between the input “X” side, and the output “Y” side. Check thepattern<span> against every row. It has to be true for the whole table, or it's not the </span>rule<span>. Use the </span>rule<span>, and the numbers you </span>know<span>, to complete or </span>extend<span> the </span>pattern<span>.</span>
7 0
3 years ago
Find the values of x and y in the diagram.
MrRissso [65]

Answer:

wheres the diagram?

Step-by-step explanation:

need the diagram in order to answer the question

8 0
2 years ago
Read the following excerpts from the New York Times (December 17, 1996) article Chance of Heart Attack Increases for Those Who S
nataly862011 [7]

Answer:

1. B

2. A

3. A

4. A

Step-by-step explanation:

Hello!

The study claimed that subjects who suffer depression are more likely to have a heart attack than those who are not depressed.

1551 persons were interviewed as part of the experiment and classified according to their answers in two groups "suffered depression" and "didn't suffer depression"

Afterward, the researchers looked up the medical history of all 1551 subjects and recorded how many of them had heard issues.

1.

An observational study is one where the researcher only determines the variables he wants to study without controlling or influencing any factor of the population of interest. Because there is no interference from the researchers, there is a high risk that confounding factors may affect the conclusions of it. These studies are usually precursors to experimental tests, it allows the researcher to have an idea of the association between the two variables but you cannot establish causal relationships from them.

This is an example of an observational study, the researcher merely recorded the variables of interest without interfering with any aspects that may influence them. (For example diet or exercise habits of the subjects)

2. and 3.

The objective of the study is to determine if "depression" causes "disposition to heart attacks"

The explanatory variable is "depression status of the subject" since it is what is suspected to influence over the heart condition of said subject and "heart attack status" is the response variable.

4.

Of the 1551 subjects originally studied, 444 were classified as depressed, of these 27 had heard attacks. You can calculate the "proportion of subjects that suffered depression and had heart attacks" as:

p': 27/444= 0.06 ⇒ 6%

Since this value was obtained from the sample, it is an estimation of the population parameter, also called statistic.

I hope it helps!

4 0
3 years ago
Denis let go of a penny at the top of a well and the penny fell straight down to the bottom of the well the top of the well was
Furkat [3]

Answer:

The distance between the top of the well and the bottom of the well was 12 1/2

Step-by-step explanation:

(a.k.a B) i did it and got it right :)

8 0
2 years ago
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