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3 years ago

Find the 25th term of the arithmetic sequence whose common difference is d=−5 and whose first term is (see picture attached)

Mathematics

1 answer:

evablogger [386]3 years ago

4 0

Answer:

Step-by-step explanation:

$a_{25}=15+(25-1)(-5)=15-120=-105$

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What is the value of the correlation coefficient r of the data set?

enyata [817]

The correct option will be: C) 0.84

Explanation

Formula for Correlation coefficient :

$r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}$

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

(Please refer to the attached image for the table )

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

$r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84$

So, the value of the correlation coefficient is 0.84

4 0

3 years ago

Read 2 more answers

Factorise 12u-uv please help lol

max2010maxim [7]

Answer:

u(12-v)

Step-by-step explanation:

12u and -uv both have a factor of u in common, so we can pull it out to give us the factored expression u(12-v).

Note on factoring:

Remember, it's just using the distributive property in reverse! We can get our original expression back by distributing the u to the 12 and the -v.

6 0

3 years ago

Together, Steve and Tom sold 79 raffle tickets for their school. Steve sold 13 more than twice as many raffle tickets as Tom. Ho

AysviL [449]

Tom sold 22 tickets and Steve sold 57 tickets here is the method

4 0

3 years ago

Is 3,3,7 a triangle

Nina [5.8K]

No. You can’t add the two lower numbers up to make the bigger number making them not a triangle.

8 0

3 years ago

(Will give 1,000 points!) Look at the two 3s in this number:

dusya [7]

The only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"

This question bothers on place values.

Given the decimal value 89.033, the place value of the blue 3 on the left is the hundredth place (1/100) while the place value of the orange 3 is in the thousandth place(1/1000).

We need to check which of the statement is correct.

For the first option, the blue 3 on the left is 300 times the value of the orange 3 on the right;

1/100 = 300(1/1000)

1/100 = 3/10

Since 0.01≠0.3, hence the first option is wrong

For the second option, the blue 3 on the left is 100 times the value of the orange 3 on the right;

1/100 = 100(1/1000)

1/100 = 1/10

0.01≠0.1, hence the second option is wrong.

The blue 3 on the left is equivalent to the orange 3 on the right is also wrong since they are positioned in a different place

The orange 3 on the right is 1/10 of the value of the blue 3 on the left, is expressed as;

1/1000 = 1/10(1/100)

0.001 = 0.001

Hence the only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"

Learn more on place values here: brainly.com/question/627658

4 0

2 years ago