In the xy-plane, the point (4,4) lies on the graph of the function f(x)-2x2-bx + 12. What is the value of b?
1 answer:
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To find the slope of g(x), use the slope formula(m):
And plug in two points, I will use:
(0, 2) = (x₁, y₁)
(5, 4) = (x₂, y₂)
You could do the same to find f(x) by finding two points and using the slope formula, or you could use this to tell visibly:
Rise is the number of units you go up(+) or down(-) from each distinguished point
Run is the number of units you go to the right from each distinguished point
If you look at the graph, you can see the points (0, -1) and (3, 1). From each point, you go up 2 units and to the right 3 units (you can make sure by using another point). So the slope of f(x) is
Whichever line looks more vertical(and is positive) has the greater slope. So the slope of f(x) is greater than the slope of g(x). The answer is option A
Answer:
a) There is a 12.11% probability that exactly 1 man has the marker.
b) There is a 85.07% probability that more than 1 has the marker.
Step-by-step explanation:
There are only two possible outcomes: Either the men has the chromosome, or he hasn't. So we use the binomial probability distribution.
Binomial probability
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:
30% carry a marker on the male chromosome that indicates an increased risk for high blood pressure, so
(a) If 10 men are selected randomly and tested for the marker, what is the probability that exactly 1 man has the marker?
10 men, so
We want to find P(X = 1). So:
There is a 12.11% probability that exactly 1 man has the marker.
(b) If 10 men are selected randomly and tested for the marker, what is the probability that more than 1 has the marker?
That is
We have that:
We also have that:
So
Finally
There is a 85.07% probability that more than 1 has the marker.