The geometric mean for the above set of data given is: 1.1475 (Option B). See the explanation below.
<h3>What is Geometric Mean?</h3>
The geometric mean can be defined as the average rate of return of a set of values obtained by multiplying the terms together.
Geometric mean is best suited for series with serial correlation, which is notably true for investment portfolios.
<h3>What is the computation justifying the above answer?
</h3>
The formula for geometric mean is given as:
![\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}](https://tex.z-dn.net/?f=%5Cleft%28%5Cprod%20_%7Bi%3D1%7D%5E%7Bn%7Dx_%7Bi%7D%5Cright%29%5E%7B%5Cfrac%20%7B1%7D%7Bn%7D%7D%3D%7B%5Csqrt%5B%7Bn%7D%5D%7Bx_%7B1%7Dx_%7B2%7D%5Ccdots%20x_%7Bn%7D%7D%7D)
Hence,
The geometric Mean =
1.0147506490423
1.1475
Learn more about Geometric Mean:
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Answer:
a + c = 30
8a + c = 100
a=10, c= 20
Step-by-step explanation:
cost = 8a + 1c since it is 8 dollars for adult and 1 for child where a is the number of adults and c is the number of children
a+c = 30 since we know that 30 adults and children went
100 = 8a + 1c and it cost 100 dollars
Let c =30 -a
100 = 8a + (30-a)
100 = 7a +30
Subtract 30 from each side
70 = 7a
Divide by 7
10 =a
Then a+c = 30
10+c = 30
c = 30-10
c = 20
Answer:
5x² - 13x - 6
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
5x(x - 3) + 2(x - 3) ← distribute both parenthesis
= 5x² - 15x + 2x - 6 ← collect like terms
= 5x² - 13x - 6