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3 years ago

Help on Algebra work, please.

Mathematics

1 answer:

Tanzania [10]3 years ago

3 0

Hello from MrBillDoesMath!

Answer: NO points of intersection. The two lines are parallel

Discussion:

Rewrite the equations so the variables and constants line up vertically

x - 2y + 8 = 0

x - 2y -6 = 0 (I added "x" to both sides of the second equation)

Subtract the bottom equation from the the top one:

(x - 2y + 8) - ( x - 2y -6) = 0 or

x - 2y + 8 - x + 2y + 6 = 0 or

(x-x) + (-2y +2y) + (8 + 6) = 0 or

0 + 0 + 14 = 0

14 = 0 !

No solution exists. (Another approach: What is the slope of each line? Hint: 1/2. Since the slopes are the same the lines are parallel and have no points of intersection)

Thank you,

MrB

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The complete question is shown on the first uploaded image

Answer:

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

$d = 0.5778$

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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

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Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > z )$

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From the z-table

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=> $p-value = 2 * 0.010444$

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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

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$d = \frac{M - \mu}{\sigma }$

=> $d = \frac{50.2 -45}{9 }$

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