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3 years ago

What is the solution to the linear equation 4b + 6 = 2 - b+ 4

Mathematics

1 answer:

inessss [21]3 years ago

5 0

Final Answer: $b = 0$

Steps/Reasons/Explanation:

Question: What is the solution to the linear equation $4b + 6 = 2 - b + 4$ ?

Step 1: Simplify $2 - b + 4$ to $6 - b$ .

$4b + 6 = 6 - b$

Step 2: Cancel $6$ on both sides.

$4b = -b$

Step 3: Subtract $-b$ from both sides.

$4b + b = 0$

Step 4: Simplify $4b + b$ to $5b$ .

$5b = 0$

Step 5: Divide both sides by $5$ .

$b = 0$

~I hope I helped you :)~

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If the exercise ball has been filled with Nitrogen which has a density of 0.2 grams per cubic inches. Find the mass in grams.

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Answer:

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Step-by-step explanation:

Given that,

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3 years ago

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musickatia [10]

Answer:

$z=\frac{50.7-50.5}{\frac{1.3}{\sqrt{280}}}=2.574$

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Step-by-step explanation:

Data given and notation

$\bar X=50.7$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation for the sample

$n=280$ sample size

$\mu_o =50.5$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

Sytem of hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 50.5, the system of hypothesis would be:

Null hypothesis: $\mu = 50.5$

Alternative hypothesis: $\mu \neq 50.5$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{50.7-50.5}{\frac{1.3}{\sqrt{280}}}=2.574$

P-value

Since is a two tailed test the p value would be:

$p_v =2*P(Z>2.574)=0.010$

Conclusion

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is different from 50.5 mpg

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3 years ago