What is the solution to –4|–2x + 6| = –24?
1 answer:
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Answer:
The first one, the one with A' at -4,5
Step-by-step explanation:
To find which graph shows the translation you first find a point that is easy to follow, ideally one that is along an axis.
Point A would be easy to follow, since it's roughly at (0,3) initially.
Then we apply the translation. T (-4,2) means the X value is moved to the left, subtracted 4 units... while the Y value is moved up, adding 2 units.
So, the point A that was at (0,3) becomes A' at (0 - 4, 3 + 2), or (-4,5).
Answer:
D is a binomial random variable with
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
65% of the customers have dogs:
This means that
15 customers:
This means that
What type of variable is D?
D is a binomial random variable with
Add 1 to both sides:
In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that
Under this assumption, we square both sides and we have
The solutions to this equation are
But since we can only accept solutions greater than -1, we discard and accept
.
In fact, we have
and
which is the only solution.