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3 years ago

I need help with this question

Mathematics

2 answers:

Bad White [126]3 years ago

7 0

(4/3)x=28/3
x=(28/3)divides by 4/3
x= (28/3)*3/4
x= 28/4
x=7

NeTakaya3 years ago

7 0

Answer:

x = 7

Step-by-step explanation:

This question is not as bad as it looks. The whole process is already laid out for you, you just need to finish the final touches. Whenever you are solving for x, your main goal is to always make x by itself through a process of unwinding. Here, x is almost by itself, you just need to get rid of 4/3 first. In most cases what you would want to do is multiply 4/3 by its recipical (flipped version) which is 3/4 and they cancel each other out (because 4/3 * 3/4 = 1). What you do on one side however you do to the other so you would also have to multiply 28/3 by 3/4 to get the anwser. However this method is for people who have gotten the hang of this. A simplier way to do this is to look at it piece by piece. For a moment, take out x and just look at 4/3. Outside of being a fraction, in words it is saying 4 divided by 3. In order to get rid of the 3 we would have to do the opposide of division which is multiplication and multiply 3 on both sides which, lucky for us, cancels out the threes on both sides. All thats left is 4x= 28. Again just look at 4x which actaully says 4 times x. To get rid of the 4 we divide 4 on both sides (because remember what you do to one side you do to the other) and voila, x is by itself and 28/4 = 7 so x=7

If what I said was too long or hard to understand, here is what i said in numbers

3/4 * 4/3x = 28/3 * 3/4

x=7

3 * 4/3x = 28/3 *3

4x=28

4x/4 = 28/4

x=7

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Answer:

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If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can't conclude that the true mean is not significantly higher than 200 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=203$ represent the mean height for the sample

$\sigma=15$ represent the population standard deviation

$n=9$ sample size

$\mu_o =200$ represent the value that we want to test

$\alpha=0.05$ 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 higher than 200, the system of hypothesis would be:

Null hypothesis: $\mu \leq 200$

Alternative hypothesis: $\mu > 20$

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

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

z-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:

$z=\frac{203-200}{\frac{15}{\sqrt{9}}}=0.6$

P-value

Since is a one sided test the p value would be:

$p_v =P(z>0.6)=0.274$

Conclusion

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Answer:

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Step-by-step explanation:

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