Answer:
a.
b.
c.
d.
They are not, the intersection is not 0.
Step-by-step explanation:
a.
The probability that the shopper has neither type of card is the probability of the complement of the union, therefore it would be
b.
That's probability of the intersection of the events. For that we use the following formula
Therefore
c.
That's the probability of A intersection the complement of B.
For that, first of all remember that
Therefore
Therefore
d.
They are not, the intersection is not 0.
<h3>
Answer: (y-2)(y-7)</h3>
=====================================================
Explanation:
To factor this, we need to find two numbers that
- A) multiply to 14 (last term)
- B) add to -9 (middle coefficient)
Through trial and error, you would find that the two numbers are -2 and -7
-2*(-7) = 14
-2 + (-7) = -9
So that's why the given trinomial factors to (y-2)(y-7)
You can use the FOIL rule to go from (y-2)(y-7) back to y^2-9y+14 again.
Answer:
After 4 decades, the population of fishes in the pond becomes 48,000 fishes
Step-by-step explanation:
We are told to find the population of fishes in a pond after 4 decades given that the population of the pond doubles after each decade.
A decade is a period of 10 years
For the first decade, the population becomes 3,000 * 2 = 6,000 fishes
For the second decade, the population becomes 6,000 * 2 = 12,000 fishes
For the third decade, the population becomes 12,000 * 2 = 24,000 fishes
and lastly for the fourth decade, the population becomes 24,000 * 2 = 48,000 fishes