Answer:
7/30
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Answer:
C
Step-by-step explanation:
Answer:
The solution for given system of equations is: x = 6 and y = 3
Or
(6,3)
Step-by-step explanation:
Given equations are:
![3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2](https://tex.z-dn.net/?f=3x%2B4y%3D30%5C%20%5C%20%5C%20Eqn%5C%201%5C%5C3x-y%3D15%5C%20%5C%20%5C%20%5C%20Eqn%5C%202)
There are three methods to solve simultaneous equations
- Elimination
- Substitution
- Co-efficient method
We will use the elimination method as the coefficients of x in both equations are already same
Subtracting equation 2 from equation 1
![3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3](https://tex.z-dn.net/?f=3x%2B4y%20-%20%283x-y%29%20%3D%2030-15%5C%5C3x%2B4y-3x%2By%20%3D%2015%5C%5C5y%20%3D%2015%5C%5C%5Cfrac%7B5y%7D%7B5%7D%20%3D%20%5Cfrac%7B15%7D%7B5%7D%5C%5Cy%20%3D%203)
Putting y = 3 in equation 2
![3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x = 6](https://tex.z-dn.net/?f=3x-3%20%3D%2015%5C%5C3x%20%3D%2015%2B3%5C%5C3x%20%3D%2018%5C%5C%5Cfrac%7B3x%7D%7B3%7D%20%3D%20%5Cfrac%7B18%7D%7B3%7D%5C%5Cx%20%3D%20%206)
Hence,
The solution for given system of equations is: x = 6 and y = 3
Or
(6,3)
Answer:
a. We are confident that the mean admission rate is between 52.8% and 75.0%
Step-by-step explanation:
When you have an unknown population parameter you can use a sample to delimit an interval in which this parameter is, the interval is called confidence interval and the confidence level is the probability of the parameter being inside the interval. The confidence interval is represented by a pair of numbers, in this case, the pair is (52.8%, 75.0%) and the confidence level is 95%, with that level you can say that you're confident that the mean admission rate is between (52.8%, 75.0%).
Answer:
5
Step-by-step explanation:
The sequence is a "/2 sequence", which means each number equals half of the previous one.
40 is half of 80.
20 is half of 40.
10 is half of 20.
5 is half of 10.
Hope it helped,
BioTeacher101