For the given function, determine consecutive values of x between which each real zero is located. f(x) = –11x^4 – 5x^3 – 9x^2 + 12x + 10
Answers
Answer:
- [-1, 0]
- [0, 1]
Step-by-step explanation:
Descartes' rule of signs tells you this function, with its signs {- - - + +}, having one sign change, will have one positive real root.
When odd-degree terms have their signs changed, the signs {- + - - +} have three changes, so there will be 1 or 3 negative real roots.
The constant term (10) tells us the y-intercept is positive. The sum of coefficients is -11 -5 -9 +12 +10 = -3, so f(1) < 0 and there is a root between 0 and 1.
When odd-degree coefficients change sign, the sum becomes -11 +5 -9 -12+10 = -17, so there is a root between -1 and 0.
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Synthetic division by (x+1) gives a quotient of -11x^3 +6x^2 -15x +27 -17/(x+1), which has alternating signs, indicating -1 is a lower bound on real roots.
Real roots are located in the intervals [-1, 0] and [0, 1].
_____
The remaining roots are complex. All roots are irrational.
The attached graph confirms that roots are in the intervals listed here. Newton's method iteration is used to refine these to calculator precision. Dividing them from f(x) gives a quadratic with irrational coefficients and complex roots.
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Answers
Answer:
First multiply each brackets
90-60
30
Step-by-step explanation:
Answer:
9 x 3= 27 and 30 + 30= 60.. so 60- 27= 33, but if you want to do 27- 30.. it would be -33.
Step-by-step explanation:
Hope that answers your question!
Is it practical to list all of the different possible routes in order to select the one that is best?
A.
Yes, it is practical to list all of the different possible routes because the number of possible permutations is very small.
B.
Yes, it is practical to list all of the different possible routes because the number of possible permutations is very large.
C.
No, it is not practical to list all of the different possible routes because the number of possible permutations is very small.
D.
No, it is not practical to list all of the different possible routes because the number of possible permutations is very large.
Answers
Answer:
P (She selects the route of four specific capitals) =
D. No,it is not practical to list all of the different possible routes because the number of possible permutations is very large.
Step-by-step explanation:
Let's start assuming that each route is equally likely to be chosen.
Assuming this, we can calculate P(A) where the event A is ''She selects the route of four specific capitals'' doing the following :
P(A) = Favourable cases in which the route of four specific capitals is selected / Total number of ways in 4 of 42 states
The favourable cases in which the route of four specific capitals is selected is equal to 1 .
For the denominator we need the permutation number of 4 in 42.
The permutation number is defined as :
The probability of event A is :
Finally for the other question : The option D is the correct because the number of possible permutations is 2686320 and is very large to be listed.
A.
Upper H 0 : p less than 0.5
Upper H 1 : p equals 0.5
B.
Upper H 0 : p greater than 0.5
Upper H 1 : p equals 0.5
C.
Upper H 0 : p equals 0.5
Upper H 1 : p not equals 0.5
D.
Upper H 0 : p equals 0.5
Upper H 1 : p less than 0.5
E.
Upper H 0 : p not equals 0.5
Upper H 1 : p equals 0.5
F.
Upper H 0 : p equals 0.5
Upper H 1 : p greater than 0.5
What is the test statistic?
Z =
(Round to two decimal places as needed.)
What is the conclusion about the null hypothesis?
A. Reject the null hypothesis because the P-value is greater than the significance level, alpha.
B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, alpha.
C. Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.
D. Reject the null hypothesis because the P-value is less than or equal to the significance level, alpha.
What is the final conclusion?
A.There is sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.
B.There is not sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.
C.There is sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.
D.There is not sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.
Answers
Answer:
Step-by-step explanation:
A. Upper H 0 : p equals 0.5
Upper H 1 : p not equals 0.5
B. Using the tests promotion formula, we have (p - P) / √P(1-P)
Where p (sample promotion) = 494/788 = 0.6269, P (population proportion) = 0.5,
(0.6269 - 0.5) / (√0.5(1-0.5))
0.1269/ √(0.5 (0.5))
0.1269/ √0.25
0.1269/0.5
Test statistics is equal to 0.2538
C. We will use the p value to determine our result, thus the p value at 0.05 level of significance is 0.79965, thus we fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.
Then we conclude that There is not sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
3 - a = 3 - b
Answers
Answer:
the first one
Step-by-step explanation:
Answers
Answer:
surface area
150
Step-by-step explanation:
surface area
150
Answer:
Answer for 1st question: B. Surface Area, Answer for the 2nd question: D. 150
Step-by-step explanation:
Explanation for the 1st question: The length, we already know. The volume, we do not need to know because we are not trying to fill it up. We are trying to cover it up. That leaves only surface area.
Explanation for the 2nd question: The box is made up of 6 rectangles, but there are only 3 different rectangles. So after we find the area of each square, we need to multiply it by 2. So 3*5=15. 15*2=30. 7.5*3= 22.5. 22.5*2=45. 7.5*5=37.5. 37.5*2=70. So our answer is
45+75+30= 150.
Answers
The first courier service cost is;
Where, x is the number of kilograms delivered;
The second courier service cost is;
Equating it, we have;
Thus, the weight that will result in equal cost is 1 kilogram.
And the cost is 5( 1 )+14 = $19