You are doing the distributive property.
68.5j+76.54
The value of y=29
the value of x=61
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
Answer:
x = -
, x = 
Step-by-step explanation:
Given
x² - x -
= 0
Multiply through by 4 to clear the fraction
4x² - 4x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × - 3 = - 12 and sum = - 4
The factors are + 2 and - 6
Use these factors to split the x- term
4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term
(2x + 1)(2x - 3) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - 
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 
Answer:
The solution is (0, 3)
Step-by-step explanation:
First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.
Next, substitute y - 3 for x in the other equation:
y - 3 + 2y = 6, or
3y = 9
Then y = 3. Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.
The solution is (0, 3)