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AveGali [126]
3 years ago
13

A set of data already has the values 11, 14, 23, and 16. What value would have to be added to the set for the mean of the

Mathematics
1 answer:
ad-work [718]3 years ago
6 0
Your answer is 26.

We have to go at this kind of backward.

We find the average by adding up the numbers, then dividing by how many numbers we have.

In this example, we will have 5 numbers...so
x divided by 5 = 18

x/5 = 18
x = 90

The sum of all 5 numbers is 90, so then subtract the 4 numbers you already know to find the one you’re missing. (We’ll call it n)

90 - 8 - 12 - 18 - 26 = n

90 - 64 = n
n = 26

Please let me know if you have any questions.

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Find t20 for the arithmetic sequence in which t1 = 36 and t3 = 28,
Galina-37 [17]
Hey there! I’m happy to help!

We want to look for the twentieth term in this sequence. Because it is arithmetic, this means that the same term will always be added or subtracted.

As we can see, our first term is 36 and then the third is twenty eight. This is a difference of eight, and since our subtracted term will always be the same, we will take this eight and divide it by two, so we can now see that we are subtracting four for each term.

To find the twentieth term, you could count, but that would be a hassle. You can also use the arithmetic sequence formula, which I will show below.

You take the desired term (20)

Subtract 1 (19)

Multiply it by the common term/difference (19*-4=-76)

And then add the first number of the sequence (-76+36= -40)

You can now do those exact same steps for any arithmetic sequence you are dealing with!

So, your twentieth term is -40!

I hope that this helps!



8 0
4 years ago
How do you solve problems like this?
Otrada [13]
Now that the decimal has been removed two places you can divide as if it was a regular division problem.
8 0
3 years ago
What is 30/45 simplest form
Marysya12 [62]
\dfrac{30}{45}=\dfrac{30:15}{45:15}=\dfrac{2}{3}
5 0
3 years ago
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