So.. if we take the numerator to be say "a", then the denominator will be "a+3"
either of those two fractions will do
either of those two fractions will do
An article in the Journal of Aircraft described a new equivalent plate analysis method formulation that is capable of modeling a
ircraft structures such as cranked wing boxes and that produces results similar to the more computationallyintensive finite element analysis method. Natural vibration frequencies for the cranked wing box structure are calculated using both methods, and results for the first seven natural frequencies follow:
Freq. Finite Element Cycle/s Equivalent Plate, Cycle/s
1 14.58 14.76
2 48.52 49.10
3 97.22 99.99
4 113.99 117.53
5 174.73 181.22
6 212.72 220.14
7 277.38 294.80
a. Do the data suggest that the two methods provide the same meanvalue for natural vibration frequency? Use α = 0.05. Find the P-value.
b. Find a 95% confidence interval on the mean difference betweenthe two methods.
Freq. Finite Element Cycle/s Equivalent Plate, Cycle/s
1 14.58 14.76
2 48.52 49.10
3 97.22 99.99
4 113.99 117.53
5 174.73 181.22
6 212.72 220.14
7 277.38 294.80
a. Do the data suggest that the two methods provide the same meanvalue for natural vibration frequency? Use α = 0.05. Find the P-value.
b. Find a 95% confidence interval on the mean difference betweenthe two methods.
1 answer:
Answer:
Given:
n = 15
c = 95% = 0.95
Let us assume:
α = 0.05
Determine the difference in value of each pair.
→See attached for the table←
→See attached for the for the workings←
Result
a) There is sufficient evidence to reject the claim that the two methods provide the same mean value for natural vibration frequency.
b) (-10.9646, -0.0068)
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Answer:
substitute that value for x in the polynomial and see if it evaluates to zero
Step-by-step explanation:
A "zero" of a polynomial is a value of the polynomial's variable that make the expression become zero when it is evaluated. As an almost trivial example, consider the polynomial x-3. The value x = 3 is a zero because substituting that value for x makes the expression evaluate as zero.
3 -3 = 0
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Evaluating polynomials can be done different ways. Straight substitution for the variable is one way. Using synthetic division by x-a (where "a" is the value of interest) is another way. This latter method is completely equivalent to rewriting the polynomial to Horner form for evaluation.
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In the attachment, Horner Form is shown at the bottom.
