Answer:
y= -3/2x + 12
Step-by-step explanation:
When finding a perpendicular line you take your slope and make it the opposite (flip it and change the sign).
Slope originally=2/3
New slope= -3/2
Next we will use the point slope equation
y-y1=m(x-x1)
y1=y value
m=slope
x1=x value
y--6= -3/2(x-12) Since you have y minus negative 6 you get to change it to y+6
y+6= -3/2(x-12) Now distribute your slope to both terms inside the parenthesis.
y+6= -3/2(x) -3/2(-12)
y+6= -3/2x +18 Finally subtract 6 from both sides.
-6 -6
y= -3/2x + 12
The diameter of the the circle would be 15.92 mm so if you rounded that up it would 16.
Answer:
a) The probability that all five are brand A is 0.0288
b) The probability that exactly two bottles are brand A is 0.0288
c) The probability that none of the bottles is brand A is 0.0048
Step-by-step explanation:
We have 9 bottles of brand A and 7 bottles of brand B.
The total of bottles is 16.
a) The probability that all five bottles are brand A is given by:

b) Since we have 9 bottles of brand A we calculate the probability of picking two brand A bottles and the we calculate the probability of picking 3 brand B bottles:

c) The probability that none of the bottles is brand A is the same as picking 5 brand B bottles:

Y = -7
x = -19
Steps:
Add the two equations together:
y - x + y + x = -14
2y = -14
y = -7
-7 + x = -26
x = -19