Answer: A is correct option .It is possible for two points to have the same x-coordinate and the same y-coordinate.
Step-by-step explanation:
A scatter plot is a mathematical diagram or 2-dimensional data visualization using Cartesian coordinates to display values for two variables for a set of data by using dots to represent the values occurred for two different variables - one plotted along the x-axis and the other plotted along the y-axis. They show how variables are correlated thats why they are also called correlation plot. For example we have scatter plot with variables as study time and exam grade, so it can happen that 2 students study for same time and got same grade.
Therefore, It is possible for two points to have the same x-coordinate and the same y-coordinate.
Question 1:
------------------------
Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions
Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80
Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2
Number of 4 marks questions = 20 ÷ 2 = 10
Number of 2 marks questions = 40 - 10 = 30
Answer: There are 10 4-marks questions and 30 2-marks questions.
------------------------------------------------------------------------------------------------
Question 2:
------------------------
Let x be the number of offices you need to clean.
Total cost = 315 + 4x
Total revenue = 25x
To break even,
315 + 4x = 25x
21x = 315
x = 15
Answer: You need to clean 15 offices to break even.
------------------------------------------------------------------------------------------------
Question 3:
------------------------
Total distance (including return trip) = 255 + 255 = 510 miles
Total time taken = 1.7 + 1.5 = 3.2 hours
Speed = Distance ÷ time
Speed = 510 ÷ 3.2 = 159.38 miles/hour
Answer: The average speed is 159.38 miles/hour
Answer:
A
Step-by-step explanation:
Since x has a negative coefficient, the graph opens downwards meaning that it has a maximum.
The vertex formula is y = a(x - h)^2 + k so the coordinate must be (-6, 6).
It took him 7 minutes to run each mile.
Firstly, covert the time into minutes.
3 * 60 = 180 minutes
180 + 2 = 182 minutes
Now in order to find how long he ran each mile,
divide 182 by 26
182/26 = 7 minutes
