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xeze
2 months ago
15

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Mathematics
2 answers:
Leona [12.6K]2 months ago
4 0

Answer:

A number line ranging from -1.5 to 1.5 in 0.5 increments, with a point at 0.5, and a bold line extending leftwards starting from -0.5.

Step-by-step explanation:

Required:

2x - 6 \geq 6(x - 2) + 8

Required:

Define the number line

2x - 6 \geq 6(x - 2) + 8

Open the bracket

2x - 6 \geq 6*x - 6*2 + 8

2x - 6 \geq 6x - 12 + 8

2x - 6 \geq 6x - 4

Collect Like Terms

2x - 6x \geq 6 - 4

- 4x \geq 2

\frac{- 4x}{-4} \geq \frac{2}{-4}

x \leq -0.5

The correct answer is option C from the provided choices.

babunello [11.8K]2 months ago
3 0
X <.5

That is indeed the answer.

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Answer:

Confidence Interval

Lower Limit = $4,233.3

Upper Limit = $4,766.7

With 95% certainty, SoftBus can anticipate that the average profit per customer will fall within the range of $4,233.30 to $4,766.7, based on the provided sample data.

Step-by-step explanation:

The z-score corresponding to 95% is 1.96

             Profit         Mean      Square Root

                           Difference    of MD

P1        $5,000       $500        $250,000

P2         4,500          0              0

P3         4,000       -500         $250,000

Total $13,500                        $500,000

Mean $4,500 ($13,500/3)    $166,667 ($500,000/3)

Standard Deviation = Square root of $166,667 = 408.2

Margin of error = (z-score * standard deviation)/n

= (1.96 * 408.2)/3

= 266.7

= $266.7

Confidence Interval = Sample mean +/- Margin of error

= $4,500 +/- 266.7

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Upper Limit = $4,766.7 ($4,500 + $266.7)

3 0
1 month ago
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What is the cosine ratio for angle F?
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