The table below represents the number of loans approved for different amounts during the second half of 2021. A linear relationship is expected. Loan amount in R100 000s X 2 3 4 5 6 If the loan amount is set at 7 (loan amount in R100 000s), what is the value of the predicted approximated number of loans approved? A. 10 B. 55 C. 6 D. 9 Number of loans approved y 15 20 18 13 9
Q: 3D+1 {X²exZ (sin3 4-(b+1)
A:
Q: Let P be a Sylow 19-subgroup and Q be a Sylow 7-subgroup. Then PQ is a subgroup of G of order: O 21…
A: We have given that , P be a Sylow 19-subgroup. Q be a Sylow 7-subgroup. We need to find , order of…
Q: 1. Mr. De Mesa put up a business that offers computer repair which he charges a base of P 350.00 for…
A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…
Q: 3) When expenses are taken into account, the linear model will shift. For example, prior to working…
A:
Q: = 238 and the 93rd term is 539. S
A:
Q: Solut Now, Given height (h) = (h) = 7cm radius (r) = dh 1 = dr Formula: volume of cylinder volume…
A: Given that Height h=7 cm Radius r=10 cm And dhdr=1. Now, formula of cylinder Volume V=πr2h......1…
Q: (B) Find all maximal ideals of (Z8, +8,8).
A:
Q: A field of characteristic p *0 such that each element of the field is the ph power of some member of…
A:
Q: 1. Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False…
A: We have given a statement , P(x) : x = x2 Here , domain consists of the integers , that is x ∈ ℤ.…
Q: Example 10.5. Employ Taylor's method to obtain approximate value of y at x = 0.2 fc the differential…
A: Problem can be solved using taylor's method.
Q: C. Identify each angle without actual measuring 2. 5. 4. 7 A four pairs 3 point c Analyze an L The…
A:
Q: M O 82 63 R
A: Given figure as, Here, MQ and NR are diameters and the indicated measure as arc PQ=?
Q: Let K be a field extension field F and let a € K be algebric over F.
A:
Q: a. Find whether the following graph is Euler Graph or not. If it's an Euler Graph then find out…
A: We need to determine whether the given graph is Eulerian or not. We know that , a connected graph G…
Q: [x√1 + x² dx Find the integration in the Simpsons method when n=3 Then compare the integral with the…
A:
Q: . Show that d(w) cos(Kt). = π[d(w − K) + d(w + K)] is the Fourier transform of -
A:
Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 9x - 2y +…
A:
Q: Let p and q be the propositions: p: The election is decided q: The votes have been counted Express…
A: P: the election is decided q: The votes have been counted p↔q represents if and only if
Q: 2) Find where tan'z = Logit is analytic a) C\{Re(z)=0, Im(z) (-0,1]} b) C\{Re(z)=0, Im(z) (-00,1] U…
A:
Q: t if the complex number z is a root of the polynomial f(
A:
Q: Consider the following ODE y' = y+t/y+1 Which kind of ODE is ?
A: Given ODE is y'=y+ty+1. Simplify y'=y+ty+1. ⇒dydt=y+ty+1⇒y+1dydt=y+t⇒y+1dydt−y=t..........1 Since,…
Q: 1. Evaluate the iterated integrals a) Ans: p²sing dpdedo 97 √√3 2 2 b) ² sing dpdøde Ans: 14/3 T
A: The solution is given as
Q: 2x=4(mod 7) The values of X that makes the statement true is/are Or there’s no solution
A:
Q: 3. a) Compute: f (Rez-32) dz where I is a directed line segment from z=0 to z=i. b) Let C be the…
A:
Q: Arithmetic between 30 and 75
A:
Q: Example 10.4. Find by Taylor's series method, the values of y at x = 0.1 and x = 0.2 to five places…
A:
Q: If F is a finite field of characteristic p, then aap is an automorphism of F.
A:
Q: Find the vector z, given that u = , v = , and w = . z = 8u − 2v − 1/2w
A:
Q: ; Let x, y ER" be given. (a) lf ||x|| = ||y|| = 1 and x - y = 1, show that x = y. (b) If ||x|| ≤ 1…
A:
Q: Let B B-{B·[3]} and B-{[4]-8} B' Suppose that [32] A = 4 is the matrix representation of a linear…
A:
Q: (b) Determine all ordered pairs (a, b) so that the linear system below has infinitely many…
A: Given linear system is , x+y+az = 1x+ay+z = 4x+y+az= b (.) Consider the linear…
Q: Use Fermat's Little Theorem to compute 51990 mod 7.
A:
Q: Let J and Je denote the standard topology and the lower-limit topology on R, respectively. Consider…
A:
Q: @ For the following power series expansion, Test . and find the radive of convergence the end point…
A:
Q: 8. Let F be a field and let f(x) be an irreducible polynomial in F[x] Then if the characteristic of…
A: Let f(x) be an irreducible polynomial in Fx. The characteristic of F is zero. To show: f(x) has no…
Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…
A: Q=∫02∫-4-y20∫x2+y28-x2-y2ydzdxdyRegion of integration,0≤y≤2-4-y2≤x≤0and x2+y2≤z≤8-x2-y2
Q: 3cos(6x)
A: 3cos(6x) we know formula cos2A=1-2sin2A and Sin(3A)=3SinA-4Sin3A
Q: Given that A and B is a group. Find out if : A→B is a homomorphism. If it is a homomorphism, also…
A:
Q: Sketch the region of integration and set up iterated integrals for both type I and type II orders of…
A:
Q: 1. N 2. 3. 4. X # X XX D E B :: C O ماده با - C ? D E ? E ? ?
A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: When A has full rank, the pseudo-inver en m≥n, and as A+ = AT (AAT)-¹ when n A = I, so A+ is a left…
A:
Q: Let F CK CL be three fields. If L is an algebric extension of K and if K is an algebric extension of…
A:
Q: 1. Use Gauss-Seidel method to solve the following linear system 10x₁3x₂ + 6x3 = 24 x₁ + 8x₂ - 2x3 =…
A:
Q: Solve the following differential equations: 1. () + (x −2x*)y'+xx=0
A:
Q: Let D be the portion of z = 2z + 5y inside z2 + y² = 1, oriented up, and let F = (y, z, -z). Compute…
A: Solution : Options ( 3 ) is correct
Q: Find the maximum and minimum values of z-a 1 - āz on z ≤ 1 (where a with |a| < 1 is fixed)
A: As per the question we are given a complex valued function : |(z-α)/(1-zα̅)| , |z| ≤ 1 , |α| < 1…
Q: (a) Find the intervals where f(x) is increasing and decreasing. Hence, find the local maxima and…
A: Note: As per our policy, we are allowed to answer only first two part of question kindly post…
Q: 2 Example 10.8. Using Euler's method, find an approximate value of y corresponding to x= 1, given…
A:
Q: A plane traveling at 485 km/h [N60°E] encounters a 75 km/h wind that blows it 6° off course.…
A:
Q: Let X and Y be two topological spaces. X is connected and Y is disconnected are they homotopy…
A:
Step by step
Solved in 2 steps with 2 images
- MR In Dave Eggers’ novel The Circle, a mysteri-ous technology company has developed a strangely data-driven work environment in which employees are assigned a performance score that seems to be the product of factors in their social activities and environment, such as the extent of their engagement in work community and the number of times they post on the company’s social media site. Using the fictional data below, compute r and r2 for each com-bination of two variables from this novel and test the correlations for their significance. Write a paragraph interpreting the relationships between these vari-ables, and what they might mean for the companyThe line of best fit through a set of data isy=−46.139+3.838xAccording to this equation, what is the predicted value of the dependent variable when the independent variable has value 90?y = Round to 1 decimal place.Suppose a researcher collects data on houses that have been sold in a particular neighbourhood over the past year, and obtains the regressions results in the table shown below. A family purchases a 2000 square foot home and plans to make extensions totalling 500 square feet. The house currently has a pool, and a real estate agent has reported that the house is in excellent condition. However, the house does not have a view, and this will not change as a result of the extensions. According to the results in column (1), what is the expected DOLLAR increase in the price of the home due to the planned extensions?
- If the data is weight, the z-score for someone who is overweight would be what?? if the data is time spent watching TV, an individual with a z-score of zero would do what?? if the data is an annual salary in the US, and the population is all legally employed people in the US, the z-Score of people who make minimum wage would be what??he data on the right relate to characteristics of high-definition televisions A through E. Identify the individuals, variables, and data corresponding to the variables. Determine whether each variable is qualitative, continuous, or discrete. SetupSetupSize (in)Screen TypeNumber ofNumber of Channels AvailableChannels AvailableA5353ProjectionProjection298298B6060PlasmaPlasma106106C4848PlasmaPlasma422422D5454ProjectionProjection269269E4545PlasmaPlasma290290What are the individuals being studied? A.Plasma and projection widescreen high-definition televisions. B.Television setups that include more than 100 channelsTelevision setups that include more than 100 channels. C.Televisions with screen sizes between 40 in and 60 in. D.The high-definition television setups A through E. What are the variables and their corresponding data being studied? A.SetupSetup (A, B, C, D, E), size (5353, 6060, 4848, 5454, 4545), screen type (ProjectionProjection, Plasma commaPlasma,…(A) The linearity between two variables X and Y, in pairs, defined as X=[4,2,3,5,2,4] and Y=[6,4,6,8,5,10] is equal to? (B)An outbreak of certain illness was attributed to ice creams produced at a certain factory. Scientists measured the level of the illness causing factor in 10 randomly sampled batches of ice cream. The levels were: 0.583, 0.242, 0.129, 0.691, 0.231, 0.693, 0.619, 0.392, 0.418. What is the estimated interval of population mean at 0.05 level of significance? (C) The population standard deviation for the age of a certain University students is 13 years. If we want to be 90% confident that the sample mean age is within 3 years of the true population mean age of the University students, then how many randomly selected students must be surveyed?
- The Greer Tire company manufactures a new steel-belted radial tire to be sold through a national chain of discount stores. Because the tire is a new product, Greer’s managers believe that the mileage guarantee offered with the tire will be an important factor in the acceptance of the product. Let X = miles that the tires last: X~N(60,000 2,500) Find the mileage guarantee that ensures this company will repair no more than 15% of its product for free. Assume the distribution of tire mileage is normal.A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n = 10 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all. The dependent variable is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. (Hint: start with the df column). Source SS df MS Between ___ ___ 15 F = 7.50 Within ___ ___ ___ Total ___ ___Your younger brother, a fourth form practical geography student wishes to test whether there could be some relationship between annual visits to a local market by all residents surrounding that market. After a well-designed field study he obtains the following figures: Number of visits per year 21 13 19 18 17 17 14 20 10 11 Residence distance from market (KM) 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 From the information above, what is the dependent variable and what is the explanatory variable? Using (i) above, obtain the regression equation of Yi on Xi. Hence, estimate the residence distance from the market (in KM) if the number of visits are 16 visits Sketch your results in (ii) above. What conclusion can you draw from your sketch?
- The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, two employees were assigned to assemble the subassemblies. They produced 15 during a one-hour period. Then four employees assembled them. They produced 25 during a one-hour period. The complete set of paired observations follows. Number ofAssemblers One-HourProduction (units) 2 15 4 25 1 10 5 40 3 30 The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees. Click here for the Excel Data File Draw a scatter diagram. On the graph below, use the point tool to plot the point corresponding to the first Number of Assemblers and her Production (No of Assemblers1). Repeat the process for the remainder of the sample (No of…The following table shows the marks in statistics and economics for ten students. Fit a least square line to the data using a) ‘X’ as the independent variable b) What will be the regression equation if X= 20Suppose that a researcher, using wage data on 200 randomly selected male workers and 240female workers, estimates the OLS regressionW age ˆ =10(0.2)+2(0.4)× M ale, R2 = 0.10, SER = 4,where Wage is measured in dollars per hour and Male is a binary variable that is equal to 1 if theperson is a male and 0 if the person is a female. Define the wage gender gap as the difference inmean earnings between men and women.1. What is the estimated gender gap?2. Is the estimated gender gap significantly different from 0? (Compute the p-value for testingthe null hypothesis that there is no gender gap.)13. Construct a 95% confidence interval for the gender gap.4. In the sample, what is the mean wage of women? Of men?5. Another researcher uses these same data but regresses Wages on Female, a variable that isequal to 1 if the person is female and 0 if the person a male. What are the regression estimatescalculated from this regression?W age ˆ = _ + _ × F emale, R2 = _, SER = _.