Answer: 30.85%.
Step-by-step explanation:
Let X denotes the score of random student.
Given:
and 
We assume that scores are normally distributed.
Then , the probability that a a student score higher than 55:
![P(X>55)=P(\dfrac{X-\mu}{\sigma}>\dfrac{55-50}{10})\\\\=P(Z>0.5) \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E55%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B55-50%7D%7B10%7D%29%5C%5C%5C%5C%3DP%28Z%3E0.5%29%20%5C%20%5C%20%5BZ%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C0.5%29%5C%5C%5C%5C%3D1-0.6915%5C%20%5B%5Ctext%7BBy%20p-value%20table%20for%20z%7D%5D%5C%5C%5C%5C%3D%200.3085)
Hence, the percent of students have a higher score than hers is 30.85%.
Answer:
A) -2y + 2x >= 7x+y+5
Step-by-step explanation:
I can't remember how to get there by actually doing math, but I used a calculator on a program called Desmos (don't know if you've heard of it?). It's great because they have lots of types of calculators for any kind of math you're doing. I used the graphing calculator for this one. There's also a scientific calculator which I used a lot throughout middle school when we had to do operations with PEMDAS OR GEMS.
To find the graphing calculator for future problems like this, just type in Desmos Graphing Calculator and it should come up.
Hope you find it useful.
The best option here is option B) -14
Box B will be cheaper by .48, or 48 cents. Hope I helped! :)
Answer:
5
Step-by-step explanation: