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lozanna [386]
3 years ago
9

Solve each compound inequality and graph the solutions. -2 < x - 3 < 5

Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

See attachment.

Step-by-step explanation:

The given inequality is -2 < x - 3 < 5.

We add 3 to each part of -2 +3< x - 3+3 < 5+3

We now simplify to get: 1 < x < 8.

To represent this on the number line, we have to draw open circles at 1 and 8 and connect them as shown in the attachment.

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The major axis of the eclipse is 12 units long

The given parameters can be represented as:

Red = 8

Blue = 4

See attachment for illustration

To solve this question, we make use of the following theorem

The distance between a point and the foci sums up to the major axis

This translates to:

Major\ axis = Red + Blue

Major\ axis = 8 + 4

Major\ axis = 12

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Answer:f=-1

Step-by-step explanation:

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Which statement explains the difference between a line and a segment?
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Answer: A line does not have a formal definition, and a segment is described through undefined terms.

Step-by-step explanation:

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Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research
kolbaska11 [484]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Yes the researcher can  conclude that the supplement has a significant effect on cognitive skill

b

d =  0.5778

c

The result of this hypothesis test shows that there is sufficient evidence to  that the supplement had significant effect.The measure of effect size is  large due to the large value of Cohen's d (0.5778 > 0.30 )

Step-by-step explanation:

From the question we are told that

  The sample size is  n=16

    The sample mean is  M  =  50.2

    The standard deviation is \sigma  = 9

    The  population mean is  \mu =  45

     The level of significance is  \alpha =  0.05

The null hypothesis is H_o  \mu =45

The alternative hypothesis is H_a  \mu \ne 45

Generally the test statistics is mathematically represented as

          z =  \frac{M -  \mu}{\frac{\sigma}{\sqrt{n} } }

=>       z =  \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }

=>       z =  2.31

Generally the p-value is mathematically represented as

     p-value  =  2 *  P(Z >  z )

      p-value  =  2 *  P(Z >  2.31 )

From the z-table  

      P(Z >  2.31 ) = 0.010444

=>     p-value  =  2 *  0.010444

=>     p-value  =  0.021

From the obtained values we see that p-value <  0.05

 Decision Rule

 Reject the null hypothesis

Conclusion

There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults

Generally the Cohen's d for this study is mathematically represented as

    d =  \frac{M  -  \mu}{\sigma }

=>  d =  \frac{50.2 -45}{9 }

=>  d =  0.5778

3 0
4 years ago
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