Answer:
all work is shown and pictured
Step-by-step explanation:
x: children tickets
y: adult tickets
Answer:
Step-by-step explanation:
For this case we have the following distributions given:
The expected value for x is
And the variance
The expected value for x is
And the variance
We define a new random variable:
We need to find the expectd value and the variance for W.
For the expected value we have this:
And if we replace the parameters we got:
Now foe tha variance of W we know that X and Y are indpenendet variable so then
For this case we can use the property that is a is a constant and X a random variable then , and we got this:
And if we replace we got:
Answer:
x = 3
x = 0
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
2x^2 - 6x = 0
Pull out like factors
2x * (x - 3) = 0
Solve: 2x = 0
Divide both sides of the equation by 2:
x = 0
Solve: x-3 = 0
Add 3 to both sides of the equation:
x = 3
Answer:
is the required matrix form.
Step-by-step explanation:
Here, the given system of equation is:
5 x + 4 y = -14,
3 x + 6 y = 6
In a system of equation, the matrix for is given as
AX = b
Here, A = Co-efficient Matrix, X = Variable Matrix and B = Constant Matrix
Considering the given system:
Co-efficient Matrix(A) =
Variable Matrix(X) =
Constant Matrix(b) =
Hence, the combined matrix form of AX = b is
Answer:
100000000000 times
Step-by-step explanation:
Given
Diameter of Dish = 0.00001 km
Diameter of Bacterium = 10⁻¹⁶ km
Required
Determine the number of times the diameter of dish is bigger than that of the bacterium
<em>To solve this, we simply divide the diameter of dish by the diameter of the bacterium as follows</em>
<em></em>
<em>Hence, the diameter of the dish is 100000000000 times larger than the diameter of the bacterium</em>