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Statistics and Probability Videos 134 videos

SAT Math 1.2 Statistics and Probability
1060 Views

SAT Math: Statistics and Probability Drill 1, Problem 2. If the four largest numbers in the set were doubled, what would happen to the median...

SAT Math 1.4 Statistics and Probability
380 Views

SAT Math 1.4 Statistics and Probability. If two standard 6-sided dice are rolled, what is the probability that the sum of the dice will be gre...

SAT Math 1.5 Statistics and Probability
358 Views

SAT Math 1.5 Statistics and Probability. If Silas draws one card, then places it in his pocket and draws another, what is the probability that...

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SAT Math 6.1 Geometry and Measurement 3974 Views


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Description:

SAT Math 6.1 Geometry and Measurement

Language:
English Language

Transcript

00:03

A little birdie told us you wanted to solve a Shmoopy problem.

00:08

Four people can sit around one square table. When two tables are pushed together, six people

00:13

will fit, and eight people will fit around three tables pushed together.

00:17

How many square tables, pushed together in a long rectangle, would be needed to sit twenty people?

00:22

Here are the potential answers...

00:28

Here we’ve got square tables that keep getting pushed together to accommodate our rapidly growing party…

00:33

We’re told that 4 people can sit at one square table, which makes sense…

00:37

…6 people can fit around 2 tables…

00:39

…and 8 people can fit around 3.

00:42

The best way to get a sense of what's going on here is to make ourselves a little chart.

00:46

So, if we expand this a tiny bit further, we get something like this:

00:49

Aha! A pattern has emerged!

00:53

What we might notice is that, in every instance,

00:56

the number of people is double the number of tables… plus 2.

01:02

So working in reverse, if we have 20 people, we’d subtract 2…

01:05

… then cut that number in half.

01:07

We get 9 as our answer… which is C.

01:10

We’re sure your parents will understand you inviting over some friends.

01:13

What they may not understand, however, is why you had to take out the dining room wall

01:17

to make room for all of those folding tables…

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