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DiKsa [7]
2 years ago
14

Explain how to identify the restrictions on the variable when adding or

Mathematics
1 answer:
anastassius [24]2 years ago
3 0

Rational expressions are those that have fractional terms. We state restrictions because it may cause the equation to be undefined in some values of x. The most common restriction for rational expressions is N/0. This means any number divided by zero is undefined.

<h3>What is rational expressions and examples?</h3>

A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions.

To find the restrictions on a rational function, find the values of the variable that make the denominator equal 0.

  • 6x-1z2-1z2+5m4+18m+1m2-m-64*2+6*-101

Learn more about rational expressions here:

brainly.com/question/9353162

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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
3 years ago
9. To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon. How much does Sam spend on fuel? Round to the
Verizon [17]

Answer:

$65.52

Step-by-step explanation:

y = mx + b

y = amount spent on fuel = ?

m = price per gallon = $3.90

x = gallons  = 16.8

b is not needed for this problem

y = (3.90)(16.8)

y = $65.52

8 0
3 years ago
Enter an equation that can be used to solve this problem, where x represents the number of hours that Roberto had been traveling
ElenaW [278]
Hey any chance you remember the work answer for the problem? I have the same question also!
3 0
3 years ago
What’s the difference from linear and non linear
Vladimir [108]

Answer:linear would not go through the zero point, non lineAr would. Also linear does not go una strait line. Non linear foes

Step-by-step explanation:

6 0
3 years ago
From the given slopes of the lines, identify whether the two lines are parallel, perpendicular, or neither.
vivado [14]

Answer:

Neither

Step-by-step explanation:

To be parallel the lines have to have the same slope. In this case the slopes are not the same.

To be perpendicular, the lines have to have negative reciprocal slopes.

For example, if one slope is 6, then its negative reciprocal i (- 1/6). We do not have this also.

So, the lines are no parallel and no perpendicular.

7 0
3 years ago
Read 2 more answers
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