A common characteristic for the shapes given is that they all consist of sides. Therefore, the most applicable sorting rule is the number of sides. In this regard, there will be two categories of the shapes given.
That is, number of sorting rule in which:
Category 1: 1 square and 1 rectangle all with four sides.
Category 2: 1 triangle with three sides.
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
X=5 y=15 (5,15).
This is how you do it:
-4(2x+3y=55): -8x-12y=-220
3(9x+4y=105):27x+12y=315
You add the two new equations together, canceling out the y values, and get the x value. Then, you go back and plug in the x value in the original equation to get the y value.
Answer:
y ≥ −4x − 2
Step-by-step explanation:
Answer:
a
The 95% confidence interval is 
b
Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is 
The standard deviation is 
Given that the confidence level is 95% then the level of significance is mathematically represented as
=> 
=> 
The critical value for 
obtained from the normal distribution table is
Generally the margin of error is mathematically represented as
=> 
=> 
Generally the 95% confidence interval is mathematically represented as
=> 
=>
Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States
