Answer:
73.90%
Step-by-step explanation:
Let Event D=Defective, D' = Non Defective
Let Event N=New Machine, N' = Old Machine
From the given information:
We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.
i.e.
Using Baye's Law of conditional Probability
Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.
Answer: The exponent of x = -45
The exponent of y = -42
Step-by-step explanation:
Since, the exponent of a variable is the power of the variable.
Given expression is,
Since the power of x = -45
⇒ The exponent of x = -45
Similarly, the exponent of y = -42.
The solution of x in the given expression is 4. However, if it is
, it is 6.
The solution to the given algebra expression involving surds can be seen in the steps below.
Given that:
Remove the square roots, we have:
12x - 32 = 4x² - 48x + 144
Solving the quadratic equation at the RHS and equating it to LHS, we have:
x = 11, x = 4
Verifying the solutions by replacing the value of x with the given equation:
Therefore, we can conclude that the value of x = 4
NOTE:
Given that:
Square both sides
3x - 7 = x +5
Solve for x
3x - x = 5 + 7
2x = 12
x = 6
Learn more about solving to algebraic expressions here:
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