Answer: William McKinley
Explanation: William McKinley was the 25th president of the United States serving from March 4th 1897 until the assassination on September 14th 1901 after leading the nation to victory in the Spanish-American war and raising protective tariffs to promote American industry.
Total 195 or 196 countries in the world Wish i could nae them but that's a lot!
Answer:
The distance between Lena's house and mountains is 315 miles.
Explanation:
We know that average speed is given by
![Speed=\frac{Distance}{Time}](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7BDistance%7D%7BTime%7D)
Let the distance between the house of Lena and mountains be 'd'
Let the speed of trip towards mountains be
![\therefore v=\frac{d}{t_{1}}=\frac{d}{7}...........(i)](https://tex.z-dn.net/?f=%5Ctherefore%20v%3D%5Cfrac%7Bd%7D%7Bt_%7B1%7D%7D%3D%5Cfrac%7Bd%7D%7B7%7D...........%28i%29)
Since the average speed on the trip home is given as
thus we have
![v+18=\frac{d}{t_{2}}\\\\\therefore v+18=\frac{d}{5}..............(ii)](https://tex.z-dn.net/?f=v%2B18%3D%5Cfrac%7Bd%7D%7Bt_%7B2%7D%7D%5C%5C%5C%5C%5Ctherefore%20v%2B18%3D%5Cfrac%7Bd%7D%7B5%7D..............%28ii%29)
Solving equations i and ii for 'd' we get
![\frac{d}{7}+18=\frac{d}{5}\\\\\frac{d}{5}-\frac{d}{7}=18\\\\\frac{2d}{35}=18\\\\\therefore d=9\times 35=315miles](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B7%7D%2B18%3D%5Cfrac%7Bd%7D%7B5%7D%5C%5C%5C%5C%5Cfrac%7Bd%7D%7B5%7D-%5Cfrac%7Bd%7D%7B7%7D%3D18%5C%5C%5C%5C%5Cfrac%7B2d%7D%7B35%7D%3D18%5C%5C%5C%5C%5Ctherefore%20d%3D9%5Ctimes%2035%3D315miles)
Answer:
5.10 cm and 5.22 cm
Explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
![z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score, \mu=mean,\ \sigma=standard\ deviation](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%20%5C%5C%5C%5Cwhere%5C%20x%3Draw%5C%20score%2C%20%5Cmu%3Dmean%2C%5C%20%5Csigma%3Dstandard%5C%20deviation)
The top 8% corresponds with a z score of 1.41, Hence:
![1.41=\frac{x-5.16}{0.04} \\\\x-5.16=0.0564\\\\x=5.22\ cm](https://tex.z-dn.net/?f=1.41%3D%5Cfrac%7Bx-5.16%7D%7B0.04%7D%20%5C%5C%5C%5Cx-5.16%3D0.0564%5C%5C%5C%5Cx%3D5.22%5C%20cm)
The bottom 8% corresponds with a z score of -1.41. Hence:
![-1.41=\frac{x-5.16}{0.04} \\\\x-5.16=-0.0564\\\\x=5.10\ cm](https://tex.z-dn.net/?f=-1.41%3D%5Cfrac%7Bx-5.16%7D%7B0.04%7D%20%5C%5C%5C%5Cx-5.16%3D-0.0564%5C%5C%5C%5Cx%3D5.10%5C%20cm)
The lengths are 5.10 cm and 5.22 cm