Answer:
Mean: 7
Median: 8
Range: 9
Mode: 3
Step-by-step explanation:
First, to find the mean of a set of numbers you need to add up all of the numbers and divide that by the total amount of numbers. In this case that makes this equation, , which is , which is 7.
To find a median you need to find the middle number. A handy trick I use for this is to place my fingers on the first and last number, and then move them towards the middle, at the same time by one number until there is just one number left in the middle. If there are no numbers left after doing this, meaning there are an even amount of numbers given, the median is the mean of the last two numbers that were covered. In this case, this is not necessary, so the median is 8.
The range is the difference between the maximum and minimum of a data set. In this case that would give you the equation Range=12-3, which means the range is 9.
Finally, the mode is the number that occurs the most in a given data set. In this case the number that occurs the most is 3, which occurs twice compared to every other number which only occurs once.
On a particular day, the wind added 4 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 4 miles per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 57 miles with the wind, he could go only 33 miles against the wind.What is his normal bicycling speed with no wind?
It doesn’t show the full question. Please make it so I can see full question and I can help :)
Since this line is parallel to y = 3x + 1 their slopes are equal. The slope is equal to 3. The line is also passing the point (-3,4).
This is the format of the line parallel to y = 3x + 1
y = 3x+ b
This line passes through point (-3, 4)
Replacing the values of y and x coming from the coordinates of (-3, 4)
4 = 3 * (-3) + b
Solving for the y-intercept b
4 = -9 + b
b = 4 + 9
b = 13
Knowing the slope as equal to 3 and the y-intercept as 13 the equation of the line is
y = 3x+13