The correct answers are the x = 6 and x = 0.
In order to find this, we can follow the order of operations.
–4|–2x + 6| = –24
Divide by -4
|–2x + 6| = 6
Since it is now equal to a absolute value, we have to solve for the positive and negative versions of the final answer. Let's start with the positive.
-2x + 6 = 6
-2x = 0
x = 0
Now for the negative
-2x - 6 = -6
-2x = -12
x = 6
These would be your two answers.
Answer:
0.545 = 54.5% probability that it came from machine A
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Defective.
Event B: Coming from machine A.
Machine A is responsible for 30%
This means that
10% of the output from machine A is defective
This means that
Probability of being defective:
Machine A is responsible for 30%. Of those, 10% are defective.
Machine B is responsible for 20%. Of those, 5% are defective.
Machine C is responsible for 100 - (30+20) = 50%. Of those, 3% are defective. Then
Finally:
0.545 = 54.5% probability that it came from machine A
Answer:
Step-by-step explanation:
length = l ;width = w
Perimeter of rectangle = sum of all sides
= l + w + l +w
= 2l + 2w
= 2*(l +w )
Answer:
Step-by-step explanation:
Let's call (as suggested)
p = the cost of one pizza
c = the cost of one cheeseburger
The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:
2p + 4c = 31.50 [1]
Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:
3p + 2c = 33.25 [2]
To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]