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Zarrin [17]
3 years ago
11

Substitute 3y+2 for x in the second equation 2(3y+2)-5y=2

Mathematics
1 answer:
MissTica3 years ago
7 0

Answer:

The answer is y=-2

Step-by-step explanation:

multiply the 2 on the outside of the parenthesis to the inside. giving you 6y+4-5y=2. subtract 5y from 6y and get y. the equation is now y+4=2. subtract 4 from the two and get negative 2. the equation is now y=-2  


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A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.
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Answer:

n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

\bar X= 0.996 the sample mean

s=0.004 the sample deviation

n =25 the sample size

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

We can use as estimator of the real population deviation the sample deviation for this case \hat \sigma = s/ The critical value for 99% of confidence interval is given by z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107

So the answer for this case would be n=107 rounded up to the nearest integer

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