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melisa1 [442]
3 years ago
12

Solve the inequality. |2x + 10| > 26

Mathematics
2 answers:
neonofarm [45]3 years ago
6 0

Answer:

x > 8

x < -16

Step-by-step explanation:

2x + 10 > 26

2x + 10 - 10 > 26 - 10

2x > 16

2x/2 > 16/2

x > 8

2x + 10 < -26

2x + 10 - 10 < - 26 - 10

2x < -36

2x/2 < -36/2

x < -16

Archy [21]3 years ago
6 0

Answer:

-18 > x  \: \: OR \:  \:  8 < x

Step-by-step explanation:

|2x + 10| > 26

←→

2x + 10 < -26 2x + 10 > 26

- 10 - 10 - 10 - 10

_____________ _____________

2x < -36 2x > 16

__ ___ __ __

2 2 2 2

x < -18 OR x > 8

I am joyous to assist you anytime.

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At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the schoo
ExtremeBDS [4]

Answers:

The z scores are approximately:

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

From those scores, we can say:

  • Best grade = Defense Against the Dark Arts
  • Worst grade = Potions

=====================================================

Further Explanation:

We'll need to convert each given score to a corresponding standardized z score.

The formula to use is

z = (x - mu)/sigma

where,

  • x = given grade for each class
  • mu = mean
  • sigma = standard deviation

Let's find the z score for the Care of Magical Creatures class

z = (x - mu)/sigma

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z = 0.333 approximately

Repeat this process for the Defense Against the Dark Arts score.

z = (x - mu)/sigma

z = (3.60 - 3.25)/(0.60)

z = 0.583 approximately

And for the Transfiguration class as well

z = (x - mu)/sigma

z = (3.10 - 3.20)/(0.38)

z = -0.263 approximately

The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.

Now do the final class (Potions) to get this z score

z = (x - mu)/sigma

z = (2.50 - 2.90)/(0.75)

z = -0.533 approximately

This grade is below average as well.

----------------------------

To summarize, we have these z scores

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.

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Answer:

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Step-by-step explanation:

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