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Wittaler [7]
3 years ago
6

WILL MARK BRAINLIEST ASAP!!

Mathematics
2 answers:
7nadin3 [17]3 years ago
3 0

\dfrac{x^2+ax-4}{x+2}+\dfrac{x+b}{x+2}=\dfrac{x^2+ax-4+x+b}{x+2}=\dfrac{x^2+(a+1)x+(b-4)}{x+2}\\\\\dfrac{x^2+(a+1)x+(b-4)}{x+2}=x+1\\\\\dfrac{x^2+(a+1)x+(b-4)}{x+2}=\dfrac{(x+1)(x+2)}{x+2}\\\\\dfrac{x^2+(a+1)x+(b-4)}{x+2}=\dfrac{(x)(x)+(x)(2)+(1)(x)+(1)(2)}{x+2}\\\\\dfrac{x^2+(a+1)x+(b-4)}{x+2}=\dfrac{x^2+2x+x+2}{x+2}\\\\\dfrac{x^2+(a+1)x+(b-4)}{x+2}=\dfrac{x^2+3x+2}{x+2}\iff a+1=3\ \wedge\ b-4=2\\\\\boxed{a=2\ \wedge\ b=6}

lubasha [3.4K]3 years ago
3 0

Answer:

The correct choice for <em>a</em> and <em>b</em> is 2 and 6 respectively.

Step-by-step explanation:

\frac{x^{2}+ax-4}{x+2}+\frac{x+b}{x+2}

The least common multiple in the provided expression is x+2. Therefore, the above expression can be written as:

\frac{x^{2}+ax-4+x+b}{x+2}

Arrange the like terms together as shown:

\frac{x^{2}+ax+x-4+b}{x+2}=\frac{x^{2}+x(a+1)+b-4}{x+2}

It is given that after simplified her answer was x+1. Therefore, this information can be written as:

\frac{x^{2}+x(a+1)+b-4}{x+2}= x+1

Multiply numerator and denominator by x+2 we get,

\frac{x^{2}+x(a+1)+b-4}{x+2}= \frac{(x+1)(x+2)}{x+2}

Further simplify,

\frac{x^{2}+x(a+1)+b-4}{x+2}= \frac{(x^{2}+2x+x+2)}{x+2}

Add the like terms:

\frac{x^{2}+x(a+1)+b-4}{x+2}= \frac{(x^{2}+3x+2)}{x+2}

Now compare the coefficient of x term and constant term.

a+1=3 and b-4=2

further solve:

a=2 and b=6

Hence, the correct choice for <em>a</em> and <em>b</em> is 2 and 6 respectively.

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The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.

<h3>What is the post run mean?</h3>

This can be found as:

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<h3>What is the post run median?</h3>

First order the pulses from smallest to largest:

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Consider the following hypothesis test:
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Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

H_0: \mu\leq50\\\\H_a:\mu> 50

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22

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Whats 125% as a fraction and a decimal
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