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!
Answer:
9.86, go buy a calculator.
Step-by-step explanation:
Go to store.
Buy calculator.
9.86
Answer:
56 Sugar cubes
Step-by-step explanation:
75 x .25 = 18.75
75 - 18.75 = 56.25
Round down for the closest answer = 56
Answer:
The claimed proportion (population) is

The sample proportion (p-hat) is

Step-by-step explanation:
In the population, we have the parameter p that is 11%.

Then, a sample of n=160 is taken and the proportion of the sample is 0.10.

The sample proportion p-hat can differ from the population's proportion. There is a sampling distribution that gives the possible values of the sample proportion taken out of this population and its associated probabilities.