Answer:
<h3>
90</h3>
Step-by-step explanation:
The middle number of three consecutive integers is thhe mean of the others, so it is one third of the sum of three consecutive integers
267:3 = <u>89 </u> - the middle number
so:
89 - 1 = 88 - the smallest number
89 + 1 =<u> 90</u> - the largest integer
we are given with the set of data containing the elements listed above and is asked to find out the standard deviation of the data. SD is used to determine the distance between the points to the best fit line gained from the data. The formula to be followed is the square root of the summation of (x-mean) over n-1. sd is equal to <span>5.13.</span>
In a geometric sequence each number after the first is found by multiplying the previous number by a fixed number called the common ratio.
In an arithmetic sequence, each term is equal to the previous term plus or minus a constant called the common difference.
In your problem we have a sequence of numbers that appears to be decreasing in value, but on the surface it doesn't appear to be by any constant number... but if you look closely, the denominator 34 is exactly twice the other denominator 17. This would lead me to look at a common denominator to see if anything takes shape...
9/17 = 18/34
15/34
6/17 = 12/34
9/34
Now we see that each number is the previous number minus 3/34, so we have a common difference of 3/34.
This would match the definition of an arithmetic sequence and NOT a geometric sequence.
81,85,89 are the missing numbers
Answer/Step-by-step explanation:
✔️The rate of change can be calculated using the coordinates of any two points on the graph. Let's use (2, 60) and (3, 75):
Rate of change (m) = 15
✅In the context of this situation, the rate of change can be interpreted to be the additional fee per class. Thus, an additional fee per class cost $15.
✔️Initial value is the same as the y-intercept.
To find the y-intercept (b), substitute m = 15, x = 2, and y = 60 into y = mx + b.
Thus:
60 = 15(2) + b
60 = 30 + b
60 - 30 = b
30 = b
b = 30
The initial value/y-intercept = $30
✅In this context, $30 is the start-up fee to cover art supplies.
