What is the greatest common factor of 4k, 18k4, and 12?
2 answers:
Answer: The greatest common factor is 2.
Step-by-step explanation: We are given to find the greatest common factor of the following expressions:
<u>Greatest Common Factor:</u> The GCF of two or more numbers (expressions) is the greatest factor that divides all the numbers or expressions.
We have
Therefore, the greatest common factor will be
Thus, the required greatest common factor is 2.
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Expected Mean, E(X), is obtained by multiplying each pair of 
and its 
and add up the answers
E(X) = (0×0.7) + (1×0.2) + (2×0.1) = 0.4
The formula to calculate the variance, Var(X), is given by E(X)² - (E(X))²
E(X²) = (0²×0.7) + (1²×0.2) + (2²×0.1) = 0+0.2+0.4 = 0.6
(E(X))² = (0.4)² = 0.16
Var(X) = 0.6 - 0.16 = 0.44
Translating these answers into the context we have
E(Y) = 0.4×500 = $200
Var(Y) = $110
E(X) = (0×0.7) + (1×0.2) + (2×0.1) = 0.4
The formula to calculate the variance, Var(X), is given by E(X)² - (E(X))²
E(X²) = (0²×0.7) + (1²×0.2) + (2²×0.1) = 0+0.2+0.4 = 0.6
(E(X))² = (0.4)² = 0.16
Var(X) = 0.6 - 0.16 = 0.44
Translating these answers into the context we have
E(Y) = 0.4×500 = $200
Var(Y) = $110
Option A
The simple interest earned is $ 105
<em><u>Solution:</u></em>
Given that, $300 at 5% annual interest for 7 years
Therefore,
Principal = $ 300
Rate of interest = 5 %
Number of years = 7
<em><u>The simple interest is given by formula:</u></em>
Where,
p is the principal
r is the rate of interest
n is the number of years
<em><u>Substituting the values in formula,</u></em>
Thus simple interest earned is $ 105