Use the x-intercept method to find all real solutions of the equation. x^3-7x^2+4x+12=0
2 answers:
Answer:
a.
Step-by-step explanation:
The given equation is
To find all real solutions using the x-intercept method, we to graph the corresponding function using a graphing tool.
The corresponding function is;
The real solutions to , are the x-intercepts of the graph of the corresponding function.
From the graph the x-intercepts are
(-1,0),(2,0) and (6,0).
Therefore the real solutions are
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Answer:
Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>The significance level is 0.05.</em>
<em>The data is:</em>
<em>Brand X: 91, 100, 88, 89</em>
<em>Brand Y: 99, 96, 94, 99</em>
<em>Brand Z: 83, 88, 89, 76</em>
We have to check if there is a significant difference between the absorbency rating of each brand.
Null hypothesis: all means are equal
Alternative hypothesis: the means are not equal
We have to apply a one-way ANOVA
We start by calculating the standard deviation for each brand:
Then, we calculate the mean standard error (MSE):
Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:
The MSB is then:
Now we calculate the F statistic as:
The degrees of freedom of the numerator are:
The degrees of freedom of the denominator are:
The P-value of F=7.23, dfn=2 and dfd=9 is:
As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.
There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.