1.62, 15/20, 16.2% is the answer
Answer:
90.91% probability that a car needs an oil change given that it has a certain factory defect
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this problem, we have that:
Event A: having a factory defect.
Event B: needing an oil change.
The probability that a car has a certain factory defect is 825.
So 
The probability that a car has a certain factory defect and needs an oil change is 750.
So 
What is the probability that a car needs an oil change given that it has a certain factory defect

90.91% probability that a car needs an oil change given that it has a certain factory defect
Answer:

Step-by-step explanation:

Using the properties of negative exponents, rewrite your expression:

Simplify the exponent:

Rewrite into radical form (can be expressed as
):

Answer:
x = 20 (degrees)
y = 70 (degrees)
Step-by-step explanation:
The angle adjacent to the one labeled 40° is supplementary, so it would measure 140°. And the obtuse triangle is an isosceles, which means that x is half of 180° - 140°, so x = 1/2(40°) = 20°
To find y, subtract 90° and x from 180°
y = 180° - 90° - 20°
y = 70°
Answer:
Step-by-step explanation:
The four steps of linear combination method are
1) Rearrange like terms such that they are in the same column.
2) The next step is to decide on which variable you want to eliminate and multiply each row with suitable numbers that would make the coefficient of the variable to be equal and opposite.
3) Add both rows and solve for the other unknown variable.
4) substitute the known variable into any of the equations and solve for the other variable.
4x + 2y = 5
−4x − 5y = 7
We would eliminate x by adding both equations. It becomes
- 3y = 12
y = 12/- 3 = - 4
Substituting y = - 4 into the first equation, it becomes
4x + 2 × - 4 = 5
4x - 8 = 5
4x = 5 + 8 = 13
x = 13/4 = 3.25