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masha68 [24]
3 years ago
13

A certain organization wants to know the opinion of the adult residents, 35 years of age or older, of the xxx city with a total

population of 55,000 about lowering the drinking age to 18
Mathematics
1 answer:
DaniilM [7]3 years ago
5 0

0.7 +/- 0.0635 is the answer. The confidence interval is

p±1.96√p(1−p)/n

<span>p = 140/200 = 0.7 (the proportion in favor of lowering the drinking age) n = the sample size, 200 1.96 is the critical value for a 95% confidence interval, from the z-table (standard normal distribution)</span>

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At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Gnoma [55]

There would be 12 people at the party!

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

Hope this helps!

3 0
3 years ago
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ollegr [7]

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Notice however that 6/10 is not in lowest terms.

So we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.

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So 0.6 can be written as the fraction 3/5 which is in lowest terms.

Image provided showing the place value chart.

6 0
3 years ago
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ozzi

Answer:

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