What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundr
edth if necessary)
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1 answer:
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Answer:
see attached
Step-by-step explanation:
For each listed root x=p as signified by f(p) = 0, the function has a factor (x-p). The given roots and the given end behavior tell us the factored form is ...
f(x) = -(x +3)(x +1)(x -1)(x -3)
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The graph is attached. It shows the function increasing at extreme left, crossing the x-axis at x=-3, and again at x=-1, x=1 and x=3. Since it crosses an even number of times, the right-side end behavior is "decreasing" toward negative infinity.
Answer:
There is a 51.61% probability that in 10 dice throws, you will throw AT LEAST two ‘3’s on the dice.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a '3', or it is not. This means that we solve this problem using the binomial probability distribution.
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 p is the probability of X happening.
In this problem we have that:
There are 6 possible outcomes for the dice. This means that the probability that it is a '3' is
There are 10 throws, so .
Probability of throwing AT LEAST two ‘3’s on the dice?
Either you throw less than two, or you throw at least two. The sum of the probabilities of these events is 1. So
.
In which
.
So
.
Finally:
.
There is a 51.61% probability that in 10 dice throws, you will throw AT LEAST two ‘3’s on the dice.
Ok, so when it says "3x, x2," it means that when the x value is less than or equal to 3, you graph 3x. You would have the following points on the line: (-3,-9), (-2,-6), (-1,-3), (0,0), (1,3), and (2,6). The endpoint of the ray on the left side (the points I just said) would be (2,6)
When it says, "1/2 x +5, 2x," it means that when the value of x is greater than or equal to 2, the y value is .5x + 5. You would graph the following points: (2,6), (4,7), (6,8), and (8,9). The endpoint of th ray on the right (the points I just said) would be (2,6).
Keep in mind that though the graph is continuous, it isn't one line, but 2 rays (which you probably already know).