We are using substitution to solve this problem.
y=3x+1
y=-2x+3
Make these equal each other: 3x+1=-2x+3
Add 2x to both sides: 3x+2x+1=-2x+2x+3
= 5x+1=3
Subtract 1 from both sides; 5x+1-1=3-1
= 5x=2
Divide 5 from both sides: 5x/5=2/5
X= 2/5
Plug X into one of the equations: y=3(2/5) +1
y=11/5(2.2)
(2/5,11/5)
Answer: 1.460
Step-by-step explanation:
Given : Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college.
Let
represents the population mean .
Then, the set of hypothesis will be:-


We assume that this is normal distribution.
Sample size : n = 10, which is a small sample (n<30) ,s o we use t-test.
Sample mean : 
Standard deviation : 
The test statistic for population mean for small sample is given by :-


Hence , the value of test statistic = 1.460
The midpoint of AB is point G
<h2>
Explanation:</h2>
The complete question has been attached below. As you can see, we have a line segment which is defined as a part of a line that is bounded by two different points that are at the end of the segment. So here we know that:
- A is located at point -6.
- B is located at point 8
Therefore, the midpoint can be calculated as:

So the midpoint is
that matches point G. Finally:
Conclusion: The midpoint of AB is point G
Learn more:
Midpoint: brainly.com/question/13773601
#LearnWihBrainly
Answer:
Diagonal of a rectangular frame = 85 inch
Step-by-step explanation:
Given:
Length of rectangle = 77 inch
Width of rectangle = 36 inch
Find:
Diagonal of a rectangular frame
Computation:
Diagonal of a rectangle = √l² + b²
Diagonal of a rectangular frame = √77² + 36²
Diagonal of a rectangular frame = √5,929 + 1,296
Diagonal of a rectangular frame = √7,225
Diagonal of a rectangular frame = 85 inch
Answer:
75%
Step-by-step explanation:
percent = part/whole * 100%
percent = 12/16 * 100%
percent = 0.75 * 100%
percent = 75%
Answer: 75%