Solve 5x^2-4x-2=0 by completing the square
1 answer:
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The factor of the provided polynomial after the factorization process are similar to option B, which is
The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.
Find these factors by taking out the common factors.
The given polynomial equation in the problem is,
The above equation has the unknown variable x and the highest power of this unknown variable is 3.
Take out the highest common factor 9x², which can divide each term of the first two terms of equation (9x³, 36x²). Thus,
Take out the highest common factor -1 from the second two terms as,
Now take out the common group (x+4) as,
The second group can be rewritten using the difference of square formula as,
Thus, the factor of the provided polynomial after the factorization process are similar to option B, which is
Learn more about factor of polynomial here;
The Z-score is 2.306 to three decimal places. However, the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis
A z-score is a measurement of how often standard deviations the score obtained from a z-test is beyond or under the mean population.
From the given data information, let us find the mean and the standard deviation.
Mean (x) = 2425.6
The hypothesis testing can be computed as:
The standard deviation (σ) is:
= 1788.71
Now, the Z-test statistic is determined using the formula:
Z ≅ 2.306
Therefore, at a 0.05 level of significance, the Z-critical value is 2.306. However, since the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis
The complete question is given as:
Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression in 10 different samples of lung tissue, and obtains these data:
- 1154 5998 1007 2501 1000 988 2547 3987 4187 887
Scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,550. Calculate the Z-score associated with a test to see if the average expression of FOXP in her lung tissue samples is different from the levels she measured from brain tissue.
Learn more about calculating the Z-score of a test statistics here:
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