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Oduvanchick [21]
3 years ago
9

How can you tell if an inequality will have a solid line

Mathematics
1 answer:
Virty [35]3 years ago
6 0

Answer:

b. the symbol has or equal to

Step-by-step explanation:

Required

When does an inequality have a solid line

The question is pretty straightforward and the answer is (b) which means that when the symbol has or equal to.

This implies that, the symbol could be:

> or = i.e. \ge

and it could also be:

< or = i.e. \le

Take for instance:

x + 1 \ge 2 and y- 5\le 10

<em>The above expressions will have a solid line</em>

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Step-by-step explanation:

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A research study investigated differences between male and female students. Based on the study results, we can assume the popula
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Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of \mu = 3.5.
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  • Sample of 100, hence n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

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X - 3.5 = -0.1

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Z = \frac{X - \mu}{s}

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X - 3.5 = 0.1

X = 3.6

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

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