How many solutions are in 6x-9y=-9 and 2x-3y=-6?
1 answer:
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Answer:
Step-by-step explanation:
We have been given an equation . We are asked to solve our given equation.
First of all, we will add 3 to both sides of our equation.
Now, we will divide both sides of our equation by 4.
Upon rounding our answer to nearest thousandth (3 places after decimal) we will get,
Therefore, the solution for our given equation is .
Answer:
Mean = 35
Variance = 291.7
Step-by-step explanation:
Data provided in the question:
X : 1, 2, 3, 4, 5, 6
All the data are independent
Thus,
The mean for this case will be given as:
Mean, E[X] =
or
E[X] =
or
E[X] = 3.5
For 10 days, Mean = 3.5 × 10 = 35
And,
variance = E[X²] - ( E[X] )²
Now, for this case of independent value,
E[X²] =
or
E[X²] =
or
E[X²] =
or
E[X²] = 15.167
Therefore,
variance = E[X²] - ( E[X] )²
or
variance = 15.167 - 3.5²
or
Variance = 2.917
For 10 days = Variance × Days²
= 2.917 × 10²
= 291.7