I just took the test i should be 4/33
AB + C
= (x + 1)(x^2 + 2x - 1) + 2x
= x^3 + 2x^2 - x + x^2 + 2x - 1 + 2x
= x^3 + 3x^2 + 3x - 1
Answer:
<em>x</em><em> </em><em>=</em><em> </em><em>3</em>
Step-by-step explanation:
First open the brackets. While opening brackets, you've to be careful about signs. So when you open bracket of <em>(</em><em>1</em><em>5</em><em>-</em><em>x</em><em>)</em>, there's <em>negative</em> sign in front of it, so it makes the signs inside the brackets to change. Then you solve the it.
Discount =5%
Regular price =$83
Price at which daniel bought the shorts =$83-5%of$83
=$83-5×83/100
=$78.85
Let's think of an example which would better help visualize this situation.
1) Someone exercises a lot so they can concentrate more on their homework (here running and concentration on homework are dependent events)
2) Someone exercises a lot because they wear a blue t-shirt (here, you can clearly see that wearing a blue shirt and exercising are not related. These events are independent).
Now concentrating on P(a | b) = Probability a occurred if b occurred.
It does not matter if b occurred (just like it didn't matter that the person wore a blue shirt which meant that they exercised) for the outcome a to occur.
Therefore, probability of P(a | b) = P(a)
P(a | b) = 0.65
Hope I helped :)
