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2 years ago

Simplify x - 2 / 7(x-2)^2

Mathematics

1 answer:

VashaNatasha [74]2 years ago

7 0

Answer:

1 / 7 (x - 2)

Step-by-step explanation:

x - 2 / 7(x - 2)^2

= (x - 2) / 7 (x - 2) (x - 2)

= 1 / 7 (x - 2)

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The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.

Marat540 [252]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

$\frac{ - 14}{5} + x = - 2 \\ x = - 2 + \frac{14}{5 } \\ x = \frac{ - 10 + 14}{5} \\ \: x = \frac{4}{5} \\ therefore \: the \: other \: number \: is \: \frac{4}{5}$

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3 years ago

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How is Demoragan's law used in logic ?

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Answer:

Step-by-step explanation:

In propositional logic and Boolean algebra, De Morgan's laws are a pair of transformation rules that are both valid rules of inference. ... The rules allow the expression of conjunctions and disjunctions purely in terms of each other via negation.

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3 years ago

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A counselor at a community college claims that the mean GPA for students who have transferred to State University is more than 3

Lena [83]

Answer:

$t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3$

If we compare the p value and the significance level for example $\alpha=1-0.99=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

Step-by-step explanation:

Data given and notation

$\bar X=3.25$ represent the sample mean

$s=0.3$ represent the sample standard deviation

$n=36$ sample size

$\mu_o =3.1$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is more than 3.1, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.1$

Alternative hypothesis: $\mu > 3.1$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=36-1=35$

Since is a one right tailed test the p value would be:

$p_v =P(t_{(35)}>3)=0.00247$

Conclusion

If we compare the p value and the significance level for example $\alpha=1-0.99=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

5 0

3 years ago

Pls help! I need help with a and c I did b already!

laila [671]

Answer:

A= y= -2x+7.

B= y= - $\frac{3}{2}$ x+ 6

Step-by-step explanation:

The linear equation is y=mx+b

A= y= -2x+7.

-2 represents he slope and 7 represents the y intercept.

B= y= - $\frac{3}{2}$ x+ 6

- $\frac{3}{2}$ is the slop and 6 is the y intercept.

Hope this helps :)

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3 years ago

Find the five arithmetic means between -18 and 36

Andreas93 [3]

Yeah it really be like that sometimes, you gotta try girl

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3 years ago