Thet contradict each other, that's why both of them are incorrect.
<span>Suppose that a polynomial has four roots: s, t, u, and v. If the polynomial were evaluated at any of these values, it would have to be zero. Therefore, the polynomial can be written in this form.
p(x)(x - s)(x - t)(x - u)(x - v), where p(x) is some non-zero polynomial
This polynomial has a degree of at least 4. It therefore cannot be cubic.
Now prove Kelsey correct. We have already proved that there can be no more than three roots. To prove that a cubic polynomial with three roots is possible, all we have to do is offer a single example of that. This one will do.
(x - 1)(x - 2)(x - 3)
This is a cubic polynomial with three roots, and four or more roots are not possible for a cubic polynomial. Kelsey is correct.
Incidentally, if this is a roller coaster we are discussing, then a cubic polynomial is not such a good idea, either for a vertical curve or a horizontal curve. I hope this helps</span><span>
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For this case we have the following equations:
2x - 3y = 1
2x + 3y = 2
When adding both equations we observe that:
Sentence 1: we have an equation of a variable, which in this case will be x. We can clear the value of x.
Sentence 2: Knowing the value of x, we can substitute in any equation and find the value of y.
Sentence 3: The value of x and y represents the point of intersection of both lines (x, y).
Answer is <span>3:5=12:20
3x4 = 12
5x4 = 20
so
</span><span>3:5=12:20</span>
Answer:
The test statistic value is 1.474.
Step-by-step explanation:
In this case we need to determine whether the plant is making a higher than expected number of irregular t-shirts.
If more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process..
The hypothesis for this test can be defined as follows:
<em>H₀</em>: The proportion of irregular t-shirts is 8%, i.e. <em>p</em> = 0.08.
<em>Hₐ</em>: The proportion of irregular t-shirts is more than 8%, i.e. <em>p</em> > 0.08.
The information provided is:
<em>n</em> = 100
<em>X</em> = number of irregular t-shirts = 12
Compute the sample proportion as follows:
Compute the test statistic as follows:
Thus, the test statistic value is 1.474.