Answer:
The probability is 0.026 to 3 d.p
Step-by-step explanation:
To calculate this , we shall be using the Bernoulli approximation.
let P = percentage of voters supporting the increase = 41% = 41/100 = 0.41
q = percentage of voters not supporting = 100-41% = 59% = 59/100 = 0.59
Now we want to calculate that exactly 15 out of 25 will vote in favor
Mathematically that would be ;
25C15 p^15 q^10
= 25C15 0.41^15 0.59^10
= 0.025981307443 or simply 0.026 to 3 decimal places
Answer:
y = -2.8x +69.4
Step-by-step explanation:
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
Answer 31.4-36x+22msxi
Step-by-step explanation:
• rearrange into form y = mx + c:
3y = 9 + x
y = 9/3 + x/3
y = 1/3x + 3
• substitute the gradient, 1/3, into the formula "m1 X m2 = -1" to find m2, which is the perpendicular of the gradient:
1/3 X m2 = -1
m2 = -3
• substitute x and y values of (-3, 2) into new equation, y = -3x + c, and rearrange, to find c and complete the equation:
2 = -3(-3) + c
2 = 9 + c
2 - 9 = c
c = -7
y = -3x - 7 is perpendicular to the line and passes through the point (-3, 2)
