Using it's concept, the standard deviation for the given data-set is of 8.22.
<h3>What are the mean and the standard deviation of a data-set?</h3>
- The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
- The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.
The mean for this problem is:
M = (17 + 26 + 28 + 9 + 30 + 29 + 6 + 21 + 23)/9 = 21
Hence the standard deviation is:
![S = \sqrt{\frac{(17-21)^2 + (26-21)^2 + (28-21)^2 + \cdots + (21-21)^2 + (23-21)^2}{9}} = 8.22](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7B%5Cfrac%7B%2817-21%29%5E2%20%2B%20%2826-21%29%5E2%20%2B%20%2828-21%29%5E2%20%2B%20%5Ccdots%20%2B%20%2821-21%29%5E2%20%2B%20%2823-21%29%5E2%7D%7B9%7D%7D%20%3D%208.22)
More can be learned about the standard deviation of a data-set at brainly.com/question/12180602
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The first five terns of the sequence are - 1,4,1,4,1
<h3>What is a sequence?</h3>
A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.
an = 5 - a n-1
a1 = 1
a2 = 5 - (1) = 4
a3 = 5 - (4) = 1
a4 = 5 - (1) = 4
a5 = 5 - (4) = 1
To learn more about sequences from given link
brainly.com/question/7882626
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$12.50
because he spent half of what he had left on notebooks and paper wicth left him with $5 so you multiply 5×2=10 to get you what he had before he spent half 9f his money. Then add to $2.50 to get what he had in total
Answer:
what is the question. please provide a question.
Answer:
x = 9/4
Step-by-step explanation:
f(x) = 4x - 9
(first substitute f(x) with 0)
0 = 4× - 9
(Move four)
-4x = -9
=> x = -9/-4
= 9/4