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djyliett [7]
3 years ago
10

So here's the question

Mathematics
1 answer:
Lesechka [4]3 years ago
4 0
Yes, is subtraction, to get their "difference".

first off, let's convert the mixed fractions, to "improper", and then subtract.

\bf \stackrel{red~yarn}{9\frac{1}{5}}-\stackrel{blue~yarn}{3\frac{11}{25}}

\bf -------------------------------\\\\
\stackrel{mixed}{9\frac{1}{5}}\implies \cfrac{9\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{46}{5}}
\\\\\\
\stackrel{mixed}{3\frac{11}{25}}\implies \cfrac{3\cdot 25+11}{25}\implies \stackrel{improper}{\cfrac{86}{25}}\\\\
-------------------------------\\\\
\cfrac{46}{5}-\cfrac{86}{25}\impliedby \textit{our LCD is 25}\implies \cfrac{(5\cdot 46)~~-~~(1\cdot 86)}{25}
\\\\\\
\cfrac{230~-~86}{25}\implies \cfrac{144}{25}\implies 5\frac{19}{25}
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You wish to compute the 99% confidence interval for the population proportion. How large a sample should you draw to ensure that
Nataly_w [17]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.13 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We assume the value for \hat p =0.5 since we don't have previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

4 0
3 years ago
Read 2 more answers
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Leviafan [203]
2,508 says my calulator
3 0
3 years ago
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Mrs. Wilson packed supply bags for her students to use in a science experiment. In each bag she put 3 rubber bands and 4 paper c
n200080 [17]

Answer:

64

Step-by-step explanation:

In each supply bag, Mrs. Wilson packed 3 rubber bands and 4 paper clips for her students.

Now, it is given that she had used 48 rubber bands.

Hence, there will be (48/3) =16 supply bags that had been used.

Now, in 16 supply bags, there will be (16×4) =64 paper clips.

Therefore, 64 paper clips that she had used. (Answer)

3 0
3 years ago
2. David and Josh both drove to their grandmother's birthday party. David drove 225 miles and made it in 3 hours. Josh drove 320
AnnyKZ [126]

Answer:

Josh was driving faster

Step-by-step explanation:

Josh was going faster becuase 320 divided by 4 is 80

and 225 divided by 3 is 75.

In conclusion Josh was going faster by 5mph.

6 0
3 years ago
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stiv31 [10]

Answer:

(-6, -5)

Step-by-step explanation:

If you go left 9 times from 2, it goes to -6. Ex: 2, 1, 0, -1, -2, -3, -4, -5, -6. The same goes for 3 units up from -8.

8 0
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