Find the area of △ABC. Where:A=(3,2), B=(2,4), C=(0,2)
Suppose that a×b=〈−1,1,−1〉〉 and a⋅b=−4 Assume that θ is the angle between aand b. Find:
tanθ=
θ=
Find a nonzero vector orthogonal to both a=〈5,1,5〉, and b=〈2,−4,−1〉
Find a nonzero vector orthogonal to the plane through the points: A=(0,2,2), B=(−3,−2,2), C=(−3,2,3).
Find a nonzero vector orthogonal to the plane through the points: A=(0,1,−1), B=(0,6,−5), C=(4,−3,−4)..
In: Advanced Math
The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information.
| Customer | Amount of Tip | Amount of Bill | Number of Diners | Customer | Amount of Tip | Amount of Bill | Number of Diners | |||||||||
| 1 | $ | 5.70 | $ | 61.85 | 4 | 16 | $ | 3.30 | $ | 23.59 | 2 | |||||
| 2 | 4.50 | 28.23 | 4 | 17 | 3.50 | 22.30 | 2 | |||||||||
| 3 | 1.00 | 10.65 | 1 | 18 | 3.25 | 32.00 | 2 | |||||||||
| 4 | 2.40 | 19.82 | 3 | 19 | 5.40 | 50.02 | 4 | |||||||||
| 5 | 5.00 | 28.62 | 3 | 20 | 2.25 | 17.60 | 3 | |||||||||
| 6 | 4.25 | 24.83 | 2 | 21 | 5.40 | 63.38 | 3 | |||||||||
| 7 | 0.50 | 6.25 | 1 | 22 | 3.00 | 20.27 | 2 | |||||||||
| 8 | 6.00 | 49.20 | 4 | 23 | 1.25 | 19.53 | 2 | |||||||||
| 9 | 5.00 | 43.26 | 3 | 24 | 3.25 | 27.03 | 3 | |||||||||
| 10 | 5.55 | 62.78 | 4 | 25 | 3.00 | 21.28 | 2 | |||||||||
| 11 | 6.25 | 71.15 | 4 | 26 | 6.25 | 43.38 | 4 | |||||||||
| 12 | 6.00 | 34.99 | 3 | 27 | 5.60 | 28.12 | 4 | |||||||||
| 13 | 4.00 | 33.91 | 4 | 28 | 2.50 | 26.25 | 2 | |||||||||
| 14 | 3.35 | 23.06 | 2 | 29 | 7.00 | 76.97 | 5 | |||||||||
| 15 | 0.75 | 4.65 | 1 | 30 | 5.10 | 40.95 | 5 | |||||||||
a-1. Develop a multiple regression equation with the amount of tips as the dependent variable and the amount of the bill and the number of diners as independent variables and complete the table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
| Predictor | Coefficient | SE Coefficient | t | p-value |
| Constant | ||||
| Bill | ||||
| Diners |
a-2. Write out the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
| Tip= | + | Bill+ | Diners |
a-3. How much does another diner add to the amount of the tips? (Round your answer to 2 decimal places.)
| Another diner of average adds | to the tip. |
b-1. Complete the ANOVA table. (Leave no cells blank - be certain to enter "0" wherever required. Round "SS, MS" to 3 decimal places and "F" to 2 decimal places.)
| Source | DF | SS | MS | F | p-value |
| Regression | |||||
| Residual Error | |||||
| Total |
b-2. What is your decision regarding the null-hypothesis?
| Reject | null hypothesis. At least one coefficient is | different | from 0. |
c-1. Conduct an individual test on each of the variables. What is the decision rule at the 0.05 level of significance? (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
| It would be rejected if less than | or more than |
c-2. Which variable should be deleted?
| Diner only | should be deleted. |
d. Use the equation developed in part (c) to determine the coefficient of determination. (Round your answer to 2 decimal places.)
| The coefficient of determination |
In: Statistics and Probability
1. The Company just began making boingos at the beginning of Year 1. During Year 1, the company produced 10 boingos and used a total of 20,000 pounds of direct materials and 10,000 direct labor hours (these are both totals, NOT per unit). Each pound of direct material costs $50 and each hour of direct labor costs $30. These 10 units will make up the baseline for your learning curve computations. The class example and the homework problem both had a baseline of only 1 unit, but this problem is different. The management of the company expects a 90% learning curve to be in effect over the first 4 years of producing boingos. The company produced 14 units in Year 2, 16 units in Year 3, and 40 units in Year 4. Compute the total estimated direct labor COST for Year 4.
2. Refer to question 1. Compute the total estimated direct materials COST for Year 4.
In: Accounting
1) How large are the blocks that get fed through the AES Encryption algorithm?
2) What are the three possible key sizes for AES? How many rounds are there for each key size? How large is the keyspace?
3) List five distinct differences between the AES and DES algorithms.
4) List the 16 elements of GF(16) as polynomials. What is 3x^2+6x+1 equal to in GF(16), when the coefficients are reduced appropriately?
5) Use the table on slide 17 of the Chapter 4 slides to compute the inverse of x^4+x^3+1 in GF(256). Then verify that the product of x^4+x^3+1 and the inverse you computed is, in fact, 1 modulo the polynomial indicated in red on slide 17.
6) List three separate known attacks on AES. Include the weakness(es) of AES that they exploit and include the year in which the attack was first discovered
#understanding cryptography
#asap
In: Computer Science
Find the Asymptotic time complexity for each of the functions in the following:
| #Q2 | |
| # to denote ayymptotic time complexity use the following notation | |
| # O(l) O(m) O(a) O(b) | |
| # e.g. traversing through l = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] is O(l) | |
| #1 | |
| def merge(): | |
| l = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] | |
| m = [15, 16, 17, 18] | |
| lm = [] | |
| for l_i in l: | |
| lm.append(l_i) | |
| for m_i in m: | |
| lm.append(m_i) | |
| print("lm:{}".format(lm)) | |
| #2 | |
| def merge_a_lot(): | |
| l = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] | |
| m = [15, 16, 17, 18] | |
| lm = [] | |
| for l_i in l: | |
| lm.append(l_i) | |
| for m_i in m: | |
| lm.append(m_i) | |
| print("lm:{}".format(lm)) | |
| #3 | |
| def go_through(): | |
| l = 10 | |
| lm = [] | |
| while l>0: | |
| lm.append(l) | |
| l=int(l/2) | |
| print("lm:{}".format(lm)) | |
| #4 | |
| def go_through_two(): | |
| l = 10 | |
| m = 5 | |
| lm = [] | |
| while l > 0: | |
| lm.append(l) | |
| l = int(l/2) | |
| m1=1 | |
| while m1*m1 <= m: | |
| print("in") | |
| lm.append(m1) | |
| m1 +=1 | |
| print("lm:{}".format(lm)) | |
| #5 | |
| def go_through_cross_two(): | |
| l = 10 | |
| m = 5 | |
| lm = [] | |
| while l*l > 1: | |
| lm.append(l) | |
| l -= 1 | |
| m1 = 1 | |
| while m1*m1 <= m: | |
| lm.append(m1) | |
| m1 += 1 | |
| print("lm:{}".format(lm)) | |
| #6 | |
| def times(): | |
| a=100 | |
| b=5 | |
| sum=b | |
| count=0 | |
| while sum<=a: | |
| sum+=b | |
| count+=1 | |
| print("count:{}".format(count)) |
In: Computer Science
1. What is Kwashiorkor?
2. What is the ADIME for Kwashiorkor?
3. What is a TPN solution used for a 4-year-old boy who was Diagnosed with Kwashiorkor?
4. What are the energy needs of a 4-year-old boy with Kwashiorkor?
In: Nursing
1. All of the following regions are given in rectangular coordinates. Give a sketch of the region and convert to a coordinate system, which you believe would be the most convenient for integrating over the given region, and a brief explanation as to why you chose that coordinate system.
d) E = {(x, y, z) | − 2 ≤ x ≤ 2, − √ 4 − x^2 ≤ y ≤ √ 4 − x^2 , 2 − sqrt4 − x^2 − y^2 ≤ z ≤ 2 + sqrt4 − x^2 − y^2}
In: Math
Each of the four independent situations below describes a lease requiring annual requiring annual lease payments of $30,000.
| Situation | 1 | 2 | 3 | 4 |
| Lease term (years) | 4 | 4 | 4 | 4 |
| Asset's Useful Life (years) | 6 | 6 | 5 | 6 |
| Asset's fair value | $132,000 | $123,000 | $129,000 | $117,00 |
| Bargain Purchase option? | no | no | yes | no |
| Annual lease payments | Beg. of yr. | Beg. of yr. | End of yr. | End of yr. |
| Lessor's implicit rate (known by the lessee) | 5% | 5% | 7% | 6% |
| Lessee's incremental borrowing rate | 5% | 5% | 5% | 5% |
For Each of the four situations, determine the appropriate lease classification (operating or capital lease by the lessee and indicate why
1.
2.
3.
4.
In: Accounting
| Student | Family Goal | Work Goal |
| 1 | 7 | 5 |
| 2 | 6 | 4 |
| 3 | 8 | 2 |
| 4 | 3 | 9 |
| 5 | 4 | 1 |
| 6 | 10 | 3 |
| 7 | 5 | 4 |
| 8 | 7 | 3 |
| 9 | 2 | 7 |
| 10 | 6 | 9 |
In: Statistics and Probability
The following sample values represent service times in minutes. For the R-Chart, what are the values of UCLR and LCLR?
| Sample # | Observ. 1 | Observ. 2 | Observ. 3 | Observ. 4 | Observ. 5 |
| 1 | 10.1 | 10.6 | 9.8 | 9.9 | 10.9 |
| 2 | 9.7 | 9.5 | 10.3 | 9.9 | 10.5 |
| 3 | 10.1 | 10.7 | 9.2 | 10.1 | 10.1 |
| 4 | 9.9 | 9.8 | 10.5 | 10.4 | 10.1 |
| 5 | 10.4 | 10.1 | 10.9 | 9.9 | 10.3 |
Group of answer choices
2.2419: 0
10.7596: 9.5364
10.7596: 2.2419
1: 0
9.5364: 1
In: Statistics and Probability