Probably 6
I may be wrong but try it
Firstly expand (x - 3)(ax^2 + bx + c):
ax^3 + bx^2 + cx - 3ax^2 - 3bx - 3c
Now rearrange it so that it's in the form ax^3 + bx^2 + cx + d:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c
Now we can compare both equations:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c = 2x^3 - x^2 - 19x + 12
We get:
(1) a = 2
(2) b - 3a = -1
(3) c - 3b = -19
(4) -3c = 12
If we substitute (1) into (2) we get:
b - 3*2 = -1
b - 6 = -1
b = 5
Now if we solve (4) we get:
-3c = 12
c = -4
Therefor a = 2, b = 5 and c = -4
Answer:
option b is better because it would be 6 pounds cheaper than option a
Answer:
72.8%
Step-by-step explanation:
In this case they give us the amount of customers prefer the Cranberry Walnut Scones, therefore, the rest of the total prefer chocolate chip. That is to say:
317 - 150 = 167
Similarly, to find the number of men, it would be the total minus the number of women:
317 - 172 = 145
Now we know that 81 people prefer chocolate chip and they are men, so as not to count these people twice, we subtract it in the sum of the previous values:
167 + 145 - 81 = 231
Therefore the probability is:
231/317 = 0.728
In other words, the probability that he is a man and prefers chocolate chips is 72.8%
