Choose the correct classification of 3x4 − 9x3 − 3x2 + 6.
2 answers:
Answer:
Option (b) is correct.
Given polynomial is 4th degree polynomial.
Step-by-step explanation:
Given polynomial
We have to choose the correct classification of given polynomial out of given option .
<u>Degree of polynomial</u> is the highest degree of polynomial having non zero coefficient.
<u>5th degree polynomial</u> is the polynomial having highest degree of variable is 5 with non zero coefficient.
<u>4th degree polynomial</u> is the polynomial having highest degree of variable is 4 with non zero coefficient.
<u>9th degree polynomial</u> is the polynomial having highest degree of variable is 9 with non zero coefficient.
<u>24th degree polynomial</u> is the polynomial having highest degree of variable is 24 with non zero coefficient.
Thus, for the given polynomial the highest degree is 3 of term
with non zero coefficient 3.
Thus, Given polynomial is 4th degree polynomial.
Option (b) is correct.
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Answer:
Step-by-step explanation:
Given that :
population mean μ = 120
sample size n = 37
sample mean x = 111
standard deviation = 21
The null hypothesis and the alternative hypothesis can be computed as:
The null hypothesis:
The alternative hypothesis:
Since this test is two-tailed, the value for the test statistics can be computed as:
z = -2.605
z = -2.61
Since this is a two-tailed test
P-value = 2(z < -2.61)
From the z table;
P-value = 2(0.0045)
P -value = 0.009
Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance
Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.