Answer:
x = 4
Step-by-step explanation:
2x/2 = 8/2
x =4
Answer:
3y = 2x + 24
Step-by-step explanation:
The correct question is as follows;
Write an equation of the line that goes through the point (6, 12) and has a slope of 2/3
Solution
Here, we have a point and a slope, and we want to write the equation of the line
The method we shall use here is the point slope method
Mathematically, that will be;
y-y1 = m(x-x1)
(x1,y1) = (6,12)
m = 2/3
y-12 = 2/3(x-6)
3(y-12) = 2(x-6)
3y-36 = 2x - 12
3y = 2x -12 + 36
3y = 2x + 24
Step-by-step explanation:
(a)
the probability of parcels weighing 35oz or less is
0.841
the probability of parcels weighing 14oz or less is
0.023
the probability of parcels weighing between 14 and 35oz is the probabilty of 35oz minus the probability of 14oz
0.841 - 0.023 = 0.818
the percentage is the probability × 100 = 81.8%
(b)
the probability of parcels weighing more than 49oz is 1 minus the probability to weigh less than 49oz.
the probability to weigh less than 49oz is
0.99865
so, the probability to weigh more than 49oz is
1 - 0.99865 = 0.00135
the percentage is again probability×100 = 0.14%
Since the total circumference of the circle is 60 pi cm which passes around 360˚, the length of an arc of 140˚ will be equal to 140/360 = 7/18 times the total length:
l = (7/18) * 60 pi cm = 23.3 pi cm
