Answer:
97
Step-by-step explanation:
It is given that a figure skater needs a total score of at least 90 to move on to the next round.
The first three judges’ scores were 83, 88, and 92.
Let x be the score given by fourth judge.
Formula for average:
![Average=\frac{\sum x}{n}](https://tex.z-dn.net/?f=Average%3D%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
where, n is the number of observations.
Average of four judges is
![Average=\frac{83+88+92+x}{4}](https://tex.z-dn.net/?f=Average%3D%5Cfrac%7B83%2B88%2B92%2Bx%7D%7B4%7D)
![Average=\frac{263+x}{4}](https://tex.z-dn.net/?f=Average%3D%5Cfrac%7B263%2Bx%7D%7B4%7D)
Average score must be at least 90.
![Average\geq 90](https://tex.z-dn.net/?f=Average%5Cgeq%2090)
![\frac{263+x}{4}\geq 90](https://tex.z-dn.net/?f=%5Cfrac%7B263%2Bx%7D%7B4%7D%5Cgeq%2090)
Multiply both sides by 4.
![263+x\geq 360](https://tex.z-dn.net/?f=263%2Bx%5Cgeq%20360)
Subtract both sides by 263.
![x\geq 360-263](https://tex.z-dn.net/?f=x%5Cgeq%20360-263)
![x\geq 97](https://tex.z-dn.net/?f=x%5Cgeq%2097)
Therefore, the minimum score the fourth judge could have given is 97.
Answer:
Shen invested $9000.
Step-by-step explanation:
The simple interest formula is i = prt, where p is the principal amuont, r is the annual interest rate as a decimal fraction and t is the time in years.
Here, $2160 = P*0.06*(4 yrs), so:
$2160
P = ----------------- = $9000
0.24
Divide total length by time:
15.36 / 6 = 2.56 km per week
Answer:
x = 3
Step-by-step explanation:
8x + 3 = 9x
3 = x