Correlation coefficient is always between -1 and +1. So it cannot be +2.3
Yes, this theater has more floor seats than balcony seats simply because of the ratio. Your answer is actually in the question. For example, if you have 100 floor seats, then according to the ratio you should only have 5 balcony seats. So yes, there are more floor seats than balcony seats.
First choice is "1 of 10 grape lollipops from 35 lollipops"
The probablity is 10/35 = 2/7
Second choice is "1 of 18 apple lollipops from 34 lollipops"
So probablity is 18/34 = 9/17
Between this is AND so you have to these probablities multiply:
P(A) = 2/7 * 9/17 = 18/119
P(A) = 18/119 * 100% = 1800/119 %
It is approximaly 15,1 %.
Answer: Width of box is not taken up by pencils = ![2\dfrac58\text{ inches}](https://tex.z-dn.net/?f=2%5Cdfrac58%5Ctext%7B%20inches%7D)
Width of each pencil ![=\dfrac38\text{ inches}](https://tex.z-dn.net/?f=%3D%5Cdfrac38%5Ctext%7B%20inches%7D)
Step-by-step explanation:
Given: Width of pencil box = ![5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}](https://tex.z-dn.net/?f=5%5Cdfrac14%5Ctext%7B%20inches%7D%3D%5Cdfrac%7B21%7D%7B4%7D%5Ctext%7B%20inches%7D)
Width of seven pencils = ![2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}](https://tex.z-dn.net/?f=2%5Cdfrac58%5Ctext%7B%20inches%7D%3D%5Cdfrac%7B16%2B5%7D%7B8%7D%5Ctext%7B%20inches%7D%3D%5Cdfrac%7B21%7D%7B8%7D%5Ctext%7B%20inches%7D)
Width of box is not taken up by pencils = Width of pencil box - Width of seven pencils
![\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7By%3D2%7D%20%5Catop%20%7Bx%3D2%7D%7D%20%5Cright.%20%5Cdfrac%7B21%7D%7B4%7D-%5Cdfrac%7B21%7D%7B8%7D%5C%5C%5C%5C%3D%5Cdfrac%7B21%5Ctimes2-21%7D%7B8%7D%5C%5C%5C%5C%3D%5Cdfrac%7B21%7D%7B8%7D%5Ctext%7B%20inches%7D%3D2%5Cdfrac58%5Ctext%7B%20inches%7D)
Width of box is not taken up by pencils = ![2\dfrac58\text{ inches}](https://tex.z-dn.net/?f=2%5Cdfrac58%5Ctext%7B%20inches%7D)
Width of each pencil = (Width of seven pencils ) ÷ 7
![=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B21%7D%7B8%7D%5Cdiv7%5C%5C%5C%5C%3D%5Cdfrac%7B21%7D%7B8%7D%5Ctimes%5Cdfrac17%5C%5C%5C%5C%3D%5Cdfrac38%5Ctext%7B%20inches%7D)
Width of each pencil ![=\dfrac38\text{ inches}](https://tex.z-dn.net/?f=%3D%5Cdfrac38%5Ctext%7B%20inches%7D)
Answer:
120
Step-by-step explanation: