Answer: 0.145
Step-by-step explanation:
Since,
the Probability of the older pump failing P(fail older) = 0.10
The probability of the newer pump failing P(fail newer) = 0.05
Therefore,
The Probability of the older pump not failing P(not fail older) = 1 - 0.1
P(not fail older) = 0.9
Also,
The probability of the newer pump not failing P(not fail newer) = 1 - 0.05 = 0.95
The probability of the pumping system failing = P(not fail older)* P(not fail newer) = 0.9*0.95
P(not fail system)= 0.855
Therefore,
The probability that the pumping system will fail = 1 - P(not fail system) = 1 - 0.855 = 0.145
The probability that the pumping system will fail one day is 0.145
In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.
Let's start with the first equation.
Cross multiply both sides of the equation.
Subtract 6x on both sides of the equation.
Divide both sides of the equation by -5.
Therefore, the slope of the first equation is 4/5.
Let's now simplify the second equation.
Add x on both sides of the equation.
Divide both sides of the equation by -4.
Therefore, the slope of the second equation is -5/4.
Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.
The area of a rectangle is length*width.
The length of this 3x and the width is 2x-3. This means that, to find the area, you need to multiply 3x and 2x-3.
Start by writing out this equation:
A=l*w
Then, plug in your given values:
A= 3x*2x-3 (you can also write it as A= 3*x*2*x-3)
Then, following the order of operations, you start by multiplying. This makes your equation become A = 6x^2 -3. (^2 means squared). It turns into this because 3 * 2 is 6 and x * x is x^2 and you still haven’t used the 3 yet.
After this, there is nothing more that you can do to simplify the equation. Therefore, the area is 6x^2 - 3.
I hope this helped!
Answer:
5.64 × 10^5
Step-by-step explanation:
