If the roots of a quadratic equation are 1±√5, then the product of the roots is
2 answers:
The plus-minus sign represents that there are two possible outcomes.
In this case, we have
. When we branch out the possibilities we got 2 values: 
and 
Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.
When we multiply them:
When we FOIL the we get:
Simplify:
So the product of the two roots of this equation is 6.
In this case, we have
Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.
When we multiply them:
When we FOIL the we get:
Simplify:
So the product of the two roots of this equation is 6.
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Answer:
There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.
Step-by-step explanation:
For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
In this problem, we have that:
50 U.S residents are sampled, so
4% of the U.S population has blood type AB, so .
What is the probability that exactly 2 of the U.S. residents have blood type AB?
This is P(X = 2). So:
There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.
Answer:
+1.12 and -1.12
Step-by-step explanation:
Let the two z scores be .
Since the two Z-scores that separate the middle 73.72% on the Standard Normal Curve, this can be represented by the equation:
From the z table of the normal distribution, z₁ = 1.12. That is a z score of 1.12 gives 0.8686.
The two z scores are +1.12 and -1.12 = ± 1.12