Answer:
Step-by-step explanation:
Given
Solving (1): k(2)
Take t as 2 such that t = 2
This gives
Solving (2): k(t) = 7
Substitute 7 for k(t)
Add 1 to both sides
Divide both sides by 2
Answer:
Mode = 7
Median = 6
Mean = 5.2
Range = 7
Step-by-step explanation:
Mode:
The most repeated number is 7 (thrice).
Median:
First, arrange them in order.
1, 2, 3, 4, 5, 7, 7, 7, 8, 8
The two middle numbers are 5 and 7. Find their average.
(5 + 7)/2 = 6
Mean:
(3+7+2+4+7+5+7+1+8+8)/10 = 5.2
Range:
Largest number - smallest number
8 - 1 = 7
Hope this helps!
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (2,-1) and (4,5),
y2 = 5
y1 = - 1
x2 = 4
x1 = 2
Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3
To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes
5 = 3 × 4 + c
c = 5 - 12 = - 7
The equation becomes
y = 3x - 7
Answer:
m = 24
Step-by-step explanation:
m + 7° + 2m + 11° = 90°
3m + 18° = 90°
3m = 90°- 18°
3m = 72
(divide both sides by 3)
therefore : m = 24
