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lions [1.4K]
3 years ago
7

How would you graph the solution set of x - 6 < -3?

Mathematics
1 answer:
igomit [66]3 years ago
3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x-6 < -3

Solve for x

Adds 6 both sides

x-6+6 < -3+6

x < 3

The solution is the interval (-∞,3)

All real numbers less than 3

In a number line the solution is the shaded area at left of x=3 (open circle)

The number 3 is not included in the solution

see the attached figure to better understand the problem

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You get GPS units from two manufacturers, A and B. You get 43% of your units from A and 57% of your units from B. In the past, 2
defon

Answer:

0.5015 = 50.15% probability that it came from manufacturer A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: From manufacturer A.

Probability a unit is defective:

2% of 43%(from manufacturer A)

1.5% of 57%(from manufacturer B). So

P(A) = 0.02*0.43 + 0.015*0.57 = 0.01715

Probability a unit is defective and from manufacturer A:

2% of 43%. So

P(A \cap B) = 0.02*0.43 = 0.0086

What is the probability that it came from manufacturer A?

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0.5015 = 50.15% probability that it came from manufacturer A.

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3 years ago
Is the expression 6x+8/2<br> equivalent to 3x + 4?
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