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- The population oftan endangered species of rhinos in 2006 was estimated to be 100,507 rhinos. By 2012, the number of rhinos had grown to 245,957. (a) Assuming the population grows linearly, find the linear model, y = mx + b, representing the population x years since 2000. y = Number x + Number (round m and b to 3 decimal places) (b) Using the linear model from part (a), estimate the population in 2025. Number (round to the nearest whole number)Obtain the general solution VARIATION OF PARAMETERSThe average weight of a male child's brain is 970 grams at age 1 and 1270 grams at age 3.t (a) Assuming that the relationship between brain weight y grams and age t years is linear, write a linear model for the
- Situation: An online retail company tracked total number of purchases monthly. In February 2007 they were 4,380 purchases and in August 2008 there were 4,020. The purchases followed a linear model of the form p = S(t) = rt + i where p purchases is in 1000's and this months where January 2007-0 A. Sales are Select an answer at a constant rate of the correct units B. Write out the linear model function with the parameter values `p=S(t)= out the linear model function Now answer the following questions using this model C. What does the model predict total purchases will be in October 2010? Select an answer ✓ pick **0.000000000000 D. In what month and year does the model predict sales will be 3,400? Select an answerThe population of an endangered species of rhinos in 2002 was estimated to be 192,699 rhinos. By 2010, the number of rhinos had grown to 237,900. (a) Assuming the population grows linearly, find the linear model, y = mx +b, representing the population 2 years since 2010. y = Number x+ Number (round m and b to 3 decimal places) (b) Using the linear model from part (a), estimate the population in 2028. Number (round to the nearest whole number)A group of retailers will buy 92 televisions from a wholesaler if the price is $400 and 132 if the price is $350. The wholesaler is willing to supply 56 if the price is $350and 136 if the price is $440. Assuming that the resulting supply and demand functions are linear, find the equilibrium point for the market. (q,p) = ( , ) Please put it in the (q,p) form^^^^^^^
- A golfer is videotaped and then has her swing displayed on a computer monitor so that it can be analyzed. Give the coordinates of the points that are highlighted in red. (Each block represents one unit.) (x, y) = ( (х, у) %3D ( (x, y) = ( ) (smallest x-value) ) ) (largest x-value)The demand for watched is given by p= 7000-2q dollars, and the supply of watches is given by p= 0.01q^2 +2q +1000 dollars, where q is the number of watches demanded and supplied when the price per watch is p dollars. Based on the information provided, calculate the equilibrium quantity and the equilibrium price for wstchedThe population of an endangered species of rhinos in 2002 was estimated to be 148,003 rhinos. By 2014, the number of rhinos had grown to 211,625. a) Assuming the population grows linearly, find the linear model, y=mx+b, representing the population x years since 2000. m? b?(round m and b to 3 decimal places) b) using the linear model from part (a), estimate the population in 2029.
- Find the orthogonal trajectories of the family of 2 curves x² + y²=cy A B C none of the choices x² + y² = cx x² - y² = cy (D) x² + y²=cA sociologist examines the relationship between the poverty rate and several socioeconomic factors. For the 50 states and the District of Columbia (n = 51), he collects data on the poverty rate (y, in %), the percent of the population with at least a high school education (x1), median income (x2, in $1000s), and the mortality rate per 1,000 residents (x3). He estimates the following model as y= Bo + ß1 Education + Bß2 Income + B3 Mortality + ɛ. The following ANOVA table shows a portion of the regression results. df MS F Regression 416.2 138.73 95.7 Residual 47 68.1 1.45 Total 50 484.3 Coefficients Standard Error t-stat р-value Intercept 57.8 4.3 13.44 1.65E-16 Education -0.3 0.05 -6 5.45E-10 Income -0.2 0.01 -20 6.02E-10 Morality 0.12 0.27 0.44 0.6438 Which of the following is the value of the standard error of the estimate? Multiple Choice 1.2 138.73The demand for watches is given by p = 7000 − 2q dollars,and the supply of watches is given by p = 0.01q^2+ 2q + 1000 dollars,where q is the number of watches demanded and supplied when the price perwatch is p dollars. Based on the information provided, calculate the equilibriumquantity and the equilibrium price for watches.