Answer:
Step-by-step explanation:
From the information given:
We can compute the required calculations into a table as shown below.
![\mathbf{Cumulative \ relative }](https://tex.z-dn.net/?f=%5Cmathbf%7BCumulative%20%5C%20%20relative%20%7D)
![\mathbf{Frequency}](https://tex.z-dn.net/?f=%5Cmathbf%7BFrequency%7D)
5 14 14/65 = 0.22 14
6 19 19/65 = 0.29 19+14 = 33
7 12 12/65 = 0.19 33+12 = 45
8 9 9/65 = 0.14 45 + 9 = 54
9 <u> 11 </u> 11/65 = 0.17 54 + 11 = 65
65
Note: that the relative frequency is determined by dividing each value in the frequency by the total of the frequency.
Answer:
the greatest common factor of 10 and 70 is 10
Given:
A table of values of a linear function.
To find:
The slope, y-intercept and equation of the function.
Solution:
Take any two points on the table.
Let the points are (-1, -3) and (0, -6).
Slope of the line:
![$m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![$m=\frac{-6-(-3)}{0-(-1)}](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7B-6-%28-3%29%7D%7B0-%28-1%29%7D)
![$m=\frac{-6+3}{0+1}](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7B-6%2B3%7D%7B0%2B1%7D)
![$m=\frac{-3}{1}](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7B-3%7D%7B1%7D)
m = -3
Slope of the function = -3
y-intercept of the function is the point where x = 0.
In the table y = -6 when x = 0
y-intercept = -6
Equation of a line:
y = mx + c
where m is the slope and c is the y-intercept
y = -3x + (-6)
y = -3x - 6
Equation of a function is y = -3x - 6.
x - y = 16
x^2 + x^2 = 130
----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = <span>13.892 (3DP)
----
</span>x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108
7 is the answer. hope this helps!