Two eventis are independent if knowledge about the first doesn't change your expectation about the second.
a) Independent: After you know that the first die showed 4, you stille expect all 6 numbers from the second. So, the fact that the first die showed 4 doesn't change your expectation about the second die: it can still show numbers from 1 to 6 with probability 1/6 each.
b) Independent: It's just the same as before. After you know that the first coin landed on heads, you still expect the second coin to land on heads or tails with probability 1/2 each. Knowledge about the first coin changed nothing about your expectation about the second coin.
a) Dependent: In this case, there is a cause-effect relation, so the events are dependent: knowing that a person is short-sighted makes you almost sure that he/she will wear glasses. So, knowledge about being short sighted changed your expectation about wearing glasses.
Answer:
slope is m
y = mx + b is your standard formula
slope = -3
Step-by-step explanation:
Answer: it will cost £78.0672 to travel the 192 miles to Brighton.
Step-by-step explanation:
The minibus runs at 16 miles to a gallon of diesel. If there are 4.55 litres to a gallon and diesel costs £1.43 per litre, it means that the cost of a gallon of diesel would be
4.55 × 1.43 = £6.5056
This means that the cost of running 16 miles is £6.5056
Therefore, the amount that it will cost to travel the 192 miles to Brighton would be
(192 × 6.5056)/16 = £78.0672
The answer to your problem is 50b+8
F(x)=x^3+x^2-9x-9
x^2(x+1)-9(x+1)
=(x+1)(x^2-9)
=(x+1)(x+3)(x-3)
Hope that this helps