Ok..So.. we will make this notation adult tickets= x and student tickets=y. It says that the number of student tickets was 2 times the number of adult tickets, so.. y=2x. x+y=408 (the total number)=> x+2x=408. 3x=408 => x=408/3 => x=136. (the number of adult tickets)
Answer: 5 WEEKS
Step-by-step explanation:
200-25(birthday money)= 175
175(left over once birthday money is applied)/35(weekly amount)=5
The degree of dispersion in your data collection is indicated by variance.
It is given by the formula:
![\overline{d}= \sum_{i=1}^{i=n}\frac{|x_i-\overline{x}|^2}{n}](https://tex.z-dn.net/?f=%5Coverline%7Bd%7D%3D%20%5Csum_%7Bi%3D1%7D%5E%7Bi%3Dn%7D%5Cfrac%7B%7Cx_i-%5Coverline%7Bx%7D%7C%5E2%7D%7Bn%7D)
To determine the values of a certain set of scattered data, the standard deviation formula is utilized. The dispersion of the quantities or data from the mean is how the standard deviation is simply defined. The conclusion drawn from a lower standard deviation is that the results are fairly near to the average. Higher values, on the other hand, indicate a significant dispersion from the mean. The standard deviation number can never be negative, it should be positive.
It is given by the formula:
![s_d = \sqrt{\sum_{i=1}^{i=n}\frac{|x_i-\overline{x}|^2}{n}} =\sqrt{\overline{d}}](https://tex.z-dn.net/?f=s_d%20%3D%20%5Csqrt%7B%5Csum_%7Bi%3D1%7D%5E%7Bi%3Dn%7D%5Cfrac%7B%7Cx_i-%5Coverline%7Bx%7D%7C%5E2%7D%7Bn%7D%7D%20%3D%5Csqrt%7B%5Coverline%7Bd%7D%7D)
We have that the mean of the values is:
at 8 AM ![\overline{x}=\frac{97.9+99.3+97.9+97.6+97.4}{5}=98.02](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D%5Cfrac%7B97.9%2B99.3%2B97.9%2B97.6%2B97.4%7D%7B5%7D%3D98.02)
at 12 AM ![\overline{x}=\frac{98.5+99.7+98+97.4+97.6}{5}=98.24](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D%5Cfrac%7B98.5%2B99.7%2B98%2B97.4%2B97.6%7D%7B5%7D%3D98.24)
Using the above definitions we have that
at 8 AM ![\overline{d}=\frac{(98.02-97.9)^2+(98.02-99.3)^2+(98.02-97.9)^2+(98.02-97.6)^2+(98.02-97.4)^2}{5}=0.4456](https://tex.z-dn.net/?f=%5Coverline%7Bd%7D%3D%5Cfrac%7B%2898.02-97.9%29%5E2%2B%2898.02-99.3%29%5E2%2B%2898.02-97.9%29%5E2%2B%2898.02-97.6%29%5E2%2B%2898.02-97.4%29%5E2%7D%7B5%7D%3D0.4456)
![s_d=\sqrt{\overline{d}}=\sqrt{0.4456}=0.6675](https://tex.z-dn.net/?f=s_d%3D%5Csqrt%7B%5Coverline%7Bd%7D%7D%3D%5Csqrt%7B0.4456%7D%3D0.6675)
at 12 AM
![\overline{d}=\frac{(98.24-98.5)^2+(98.24-99.7)^2+(98.24-98)^2+(98.24-97.4)^2+(98.24-97.6)^2}{5}=0.6744](https://tex.z-dn.net/?f=%5Coverline%7Bd%7D%3D%5Cfrac%7B%2898.24-98.5%29%5E2%2B%2898.24-99.7%29%5E2%2B%2898.24-98%29%5E2%2B%2898.24-97.4%29%5E2%2B%2898.24-97.6%29%5E2%7D%7B5%7D%3D0.6744)
![s_d=\sqrt{\overline{d}}=\sqrt{0.6744}=0.8212](https://tex.z-dn.net/?f=s_d%3D%5Csqrt%7B%5Coverline%7Bd%7D%7D%3D%5Csqrt%7B0.6744%7D%3D0.8212)
In general,
represents the mean of the differences from the population of matched data.
Learn more about the variance and standard deviation here-
brainly.com/question/17084031
#SPJ10
Answer:14
Step-by-step explanation:
I hope this helps you
23×13=299