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3241004551 [841]
3 years ago
14

The drama club members at Millie’s middle school are selling tickets to the school play. Millie wants to determine the average n

umber of tickets sold. First, she surveyed the club members in her homeroom, and then she surveyed every third member of the club in her physical education class. Which sampling technique should produce a more representative sample?
Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0

Answer:

The second sampling method, surveying drama club members in her physical education class, is the most representative.

Step-by-step explanation:

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3 years ago
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kvv77 [185]

Answer:

Around 2397 Americans must be surveyed to get a margin of error of 2%.

Step-by-step explanation:

We are given the following in the question:

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0.02 = 1.96\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.02 = 1.96\times \sqrt{\dfrac{0.48(1-0.48)}{n}}\\\\\sqrt{n} = 1.96\times \dfrac{\sqrt{0.48(1-0.48)}}{0.02}\\\\\sqrt{n}=48.96\\n = 2397.0816\approx 2397

Thus, around 2397 Americans must be surveyed to get a margin of error of 2%.

8 0
3 years ago
Casey can buy 3 sandwiches and 5 cups of coffee for $26. Eric can buy 4 sandwiches and 2 cups of coffee for $23. How much does o
dolphi86 [110]
Let's identify what we are looking for in terms of variables.  Sandwiches are s and coffee is c.  Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c.   Those all put together on one bill comes to 26.  So Casey's equation for his purchases is 3s + 5c = 26.  Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23.  Eric's equation for his purchases then is 4s + 2c = 23.  In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's.  The coefficients on the s terms are 4 and 3.  4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out.  4[3s + 5c = 26] means that 12s + 20c = 104.  Multiplying the second bolded equation by -3:  -3[4s + 2c = 23] means that -12s - 6c = -69.  The s terms cancel because 12s - 12s = 0s.  We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for.  20c = 104 and -6c = -69.  Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35.  That means that c = 2.5 and a cup of coffee is $2.50.  There you go!
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