Incorrect, she should have divided both sides by 8. The answer should be x=7. There is only 1 solution to the equation because x is raised to the first degree. It is not a polynomial equation so there won't be more than 1 answer to the equation.
Answer:
Step-by-step explanation:
This is a geometric sum
s=a(r^n-1)/(r-1), here a=5000, n=20, r=1.04
s=5000(1.04^20-1)/(0.04)
s=$148890.39
Answer:
Two angles are congruent if they have the same measure. If you didn't already know, when two lines intersect the vertical angles formed are congruent. For example, all the angles in a square are congruent. All the angles in a regular pentagon are 108°, therefore all the angles are congruent because they are the same.
Step-by-step explanation: Hope this helps:).........if not sorry:(
Answer:
[34,54]
Step-by-step explanation:
-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.
Where:
- 68% is the first standard deviation
- 95% is the second standard deviation about the mean
- 99.7% is the 3rd standard deviation about the mean.
-Therefore. the middle 95% interval is calculated as:
![CI=\mu+2\sigma\\\\=44\pm 2(5)\\\\=44\pm 10\\\\=[34,54]](https://tex.z-dn.net/?f=CI%3D%5Cmu%2B2%5Csigma%5C%5C%5C%5C%3D44%5Cpm%202%285%29%5C%5C%5C%5C%3D44%5Cpm%2010%5C%5C%5C%5C%3D%5B34%2C54%5D)
Hence, the interval is [34,54]
