If there are 280 people at the theater, which prediction about the audience would you expect to be x true? x x

x x x x
x x x x x x
___x___x__x____x____x___x___x__
' ' ' ' ' ' ' ' 12 13 14 15 16 17 18 19

(BTW each number on the bottom lines up to one 'x' except for '12') Thanks:)

12 gets no x

13 gets one x
14 gets two x
15 gets two x
16 gets three x
17 gets four x
18 gets five x
19 gets three x

Sorry the line I wanted to set up didn't work out but if you write it down, you'll know! :)

Sorta confused about the question, what do you mean?

Based on the provided information, if there are 280 people at the theater, we can make a prediction about the audience size based on the pattern of 'x' in the given diagram.

To determine the prediction, we need to figure out the relationship between the 'x' and the numbers at the bottom of the diagram.

Given that each number on the bottom corresponds to one 'x' except for '12', we can observe that the numbers increase by 1 as we move from left to right. However, when we reach '12', there is a gap before '13'.

To find the prediction, we need to calculate the missing number of 'x' based on the pattern. Here's how:

First, let's count the total number of 'x' in the diagram. We start with '1' 'x' on the left and increment by 1 as we move from left to right. It appears that the diagram is symmetric, so we can count one half and then double it.

Starting from the left, we have 1 'x', then 2 'x', then 3 'x', and so on until '11'. So the total number of 'x' in one half of the diagram is 1 + 2 + 3 + ... + 11.

To find the sum of this arithmetic series, we can use the formula for the sum of the first n terms: S = n/2 * (first term + last term), where n represents the number of terms.

In this case, n is 11, the first term is 1, and the last term is 11. Plugging these values into the formula, we get:

S = 11/2 * (1 + 11) = 11/2 * 12 = 66

Since the diagram is symmetric, we double this number to get the total number of 'x':

Total 'x' = 2 * 66 = 132

Now, we can use this information to make a prediction about the audience size at the theater:

If there are 280 people at the theater and the total number of 'x' is 132, we can compare the ratio of 'x' to the audience size.

Ratio = Total 'x' / Audience size = 132 / 280 ≈ 0.471

This means that approximately 47.1% of the total audience would be represented by 'x' in the diagram.

To summarize, based on the pattern observed in the diagram, if there are 280 people at the theater, we would expect around 47.1% of the audience (approximately 132 people) to be represented by 'x' in the diagram.