30,155-13,876=16,279
16,279 people spend on the summer months in spring lake
Answer:6.27
Step-by-step explanation: 22.8 increased by 27.5%
27.5% × 22.8 = 6.27
27.5 ÷ 100 × 22.8 = 6.27
27.5 × 22.8 ÷ 100 = 6.27
627 ÷ 100 = 6.27
<span>Distance = d miles ; rate = 60 mph ; time = d/60 hrs
distance = d miles ; rate = 50 mph ; time = d/50 hrs
----------------------
Round-trip DATA:
distance = 2d miles ; rate = 55 mph ; time = (2d)/55 hrs
-----------------------------------------------------------
Equation:
Roundtrip time - other time = -1/2 hr
(2d)/55 - [(d/60)+(d/50)] = -1/2
(2d)/55 - [(110d)/(50*60)] = -1/2
---
600(2d) - 11[110d] = -16500
1200d - 1210d = -16500
-10d = -16500
distance = 1650 miles
Hope this helped :)</span>
Answer:
100x
Step-by-step explanation:
5x * 20=100
Answer:
![Varianve = 3.842](https://tex.z-dn.net/?f=Varianve%20%3D%203.842)
![SD = 1.960](https://tex.z-dn.net/?f=SD%20%3D%201.960)
Step-by-step explanation:
Given
See attachment for data
First, calculate ![\sum x^2](https://tex.z-dn.net/?f=%5Csum%20x%5E2)
![\sum x^2 = 18^2 + 17^2 +20^2 + 19^2 + 20^2 + 16^2 + 16^2 + 15^2 + 18^2+14^2 +19^2 + 19^2+18^2+17^2 + 16^2+20^2+16^2+18^2+14^2+20^2](https://tex.z-dn.net/?f=%5Csum%20x%5E2%20%3D%2018%5E2%20%2B%2017%5E2%20%20%2B20%5E2%20%2B%2019%5E2%20%2B%2020%5E2%20%2B%2016%5E2%20%2B%2016%5E2%20%2B%2015%5E2%20%2B%2018%5E2%2B14%5E2%20%2B19%5E2%20%2B%2019%5E2%2B18%5E2%2B17%5E2%20%2B%2016%5E2%2B20%5E2%2B16%5E2%2B18%5E2%2B14%5E2%2B20%5E2)
![\sum x^2 = 6198](https://tex.z-dn.net/?f=%5Csum%20x%5E2%20%3D%206198)
Calculate ![\sum x](https://tex.z-dn.net/?f=%5Csum%20x)
![\sum x = 18 + 17 +20 + 19 + 20 + 16 + 16 + 15 + 18+14 +19 + 19+18+17 + 16+20+16+18+14+20](https://tex.z-dn.net/?f=%5Csum%20x%20%3D%2018%20%2B%2017%20%20%2B20%20%2B%2019%20%2B%2020%20%2B%2016%20%2B%2016%20%2B%2015%20%2B%2018%2B14%20%2B19%20%2B%2019%2B18%2B17%20%2B%2016%2B20%2B16%2B18%2B14%2B20)
![\sum x = 350](https://tex.z-dn.net/?f=%5Csum%20x%20%3D%20350)
So, we have:
![SS_x = \sum x^2 -\frac{(\sum x)^2}{n}](https://tex.z-dn.net/?f=SS_x%20%3D%20%5Csum%20x%5E2%20-%5Cfrac%7B%28%5Csum%20x%29%5E2%7D%7Bn%7D)
![SS_x = 6198 -\frac{350^2}{20}](https://tex.z-dn.net/?f=SS_x%20%3D%206198%20-%5Cfrac%7B350%5E2%7D%7B20%7D)
![SS_x = 6198 -\frac{122500}{20}](https://tex.z-dn.net/?f=SS_x%20%3D%206198%20-%5Cfrac%7B122500%7D%7B20%7D)
![SS_x = 6198 -6125](https://tex.z-dn.net/?f=SS_x%20%3D%206198%20-6125)
![SS_x = 73](https://tex.z-dn.net/?f=SS_x%20%3D%2073)
Solving (a): The variance
![Varianve = \frac{SS_x}{n-1}](https://tex.z-dn.net/?f=Varianve%20%3D%20%5Cfrac%7BSS_x%7D%7Bn-1%7D)
![Varianve = \frac{73}{20-1}](https://tex.z-dn.net/?f=Varianve%20%3D%20%5Cfrac%7B73%7D%7B20-1%7D)
![Varianve = \frac{73}{19}](https://tex.z-dn.net/?f=Varianve%20%3D%20%5Cfrac%7B73%7D%7B19%7D)
![Varianve = 3.842](https://tex.z-dn.net/?f=Varianve%20%3D%203.842)
Solving (b): The standard deviation
![SD = \sqrt{Variance}](https://tex.z-dn.net/?f=SD%20%3D%20%5Csqrt%7BVariance%7D)
![SD = \sqrt{3.842}](https://tex.z-dn.net/?f=SD%20%3D%20%5Csqrt%7B3.842%7D)
![SD = 1.960](https://tex.z-dn.net/?f=SD%20%3D%201.960)