Answer:
We conclude that the rule for the table in terms of x and y is:
Step-by-step explanation:
The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.
We know the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept.
Taking two points
Finding the slope between (-2, -4) and (-1, -1)




We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.
Taking another point (0, 2) from the table.
It means at x = 0, y = 2.
Thus, the y-intercept b = 2
Using the slope-intercept form of the linear line function
y = mx+b
substituting m = 3 and b = 2
y = 3x+2
Therefore, we conclude that the rule for the table in terms of x and y is:
<u>Answer</u>
<em>The total displacement of the object is 320 m</em>
<u>Solution-</u>
From the formulas of mechanics,

Where,
s = displacement
u = initial velocity = 0 ( ∵ As the body was in rest in the beginning )
t = time taken = 8 s
a = acceleration = -10 m/s² ( ∵ -ve is because of the downward motion)
Putting all the values,
( ∵ -ve displacement means it is in downwards)
Answer:
Step-by-step explanation:
1/4 is the coefficient
x and y is the variables
5/6 is the constant but there could be a equal to zero on the end giving you another constant
Therefor the only true statement is The only coefficient is 1/4.
Answer:
The percentile that corresponds to an IQ score of 115 is 34.13 %
Step-by-step explanation:
Here, we want to find the percentile that corresponds to an IQ score of 115.
To calculate this percentile, we start with making observations. From the question, we are told that the mean score is 100 while the standard deviation is 15.
Now we want to find the percentile for a score if 115. For a score of 115, we can see that the difference between this score and the mean is 15 which is exactly equal to the standard deviation.
What this means is that the score is within +1 SD of the mean.
For a score of within +1 SD of the mean, the percentile is 34.13%
A score at the mean is the 50th percentile, a score which is 1 SD above or below the mean has a percentile value of 34.13%
Please, I will like you to check the attachment to see how percentiles are valued given the number of standard deviations a particular value is from the mean.
Answer: 66cm
Step-by-step explanation:
Diameter (d) = 21 cm
c= πd = 22/7 x 21 = 22 x 3 = 66cm