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- The formula for an increasing population is given by p(t)=P0ert where P0 is the initial population and r0. Derive a general formula for the time t it takes for the population to increase by a factor of M .Stock is removed from a block in two operations. The original thickness of the block is represented by n. The thickness removed by the milling operation is represented by p and the thickness removed by the grinding operation is represented by t. What is the final thickness of the block?The population Pinmillions of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
- school has 1600 students and they are going to vote as to whether they will completely convert the school completely off fossil fuels. How many students would you have to poll to be 95% confident of the outcome withi +/-0.5% of the vote? Usi the finite sämple formulaA prominent university conducted a survey on the effect of part-time work on student grade point average (GPA). Let x be the hours worked per week and y the GPA for the year. A summary of the results is below. What can the university conclude with α = 0.05? n=31 Σ y= 56 , Σ x=515 Σ y^2= 128 , Σ x^2= 11022 Σ yx= 827 , Σ (y- ŷ)² = 23 A) Compute the quantities below. b̂0= & b̂= What GPA is predicted when a students works 18 hours a week? B) Obtain/compute the appropriate values for H1: β > 0. critical value = test statistic= C) Compute the corresponding effect size(s) and indicate magnitude(s).If not appropriate, input and/or select "na" below.The depth d of a liquid in a bottle with a hole of area 0.5 cm2 in its side can be approximated by d = 0.0034t2 − 0.52518t + 20, where t is the time since a stopper was removed from the hole. When will the depth be 14 cm? Round to the nearest tenth of a second.s
- Approximate j; 3 + 2x* using Simpson's rule (n=6), then find the percentage of error after comparing your result with the exact solutionTest the hypothesis using the P-value approach. Be sure to verify the requirments of the test. Ho:p=0.4 versus H1:p>0.4 N= 200, x= 95, a= 0.1 Is npo (1-po)_>10? Use technology to find the P-value.P-value is?How do I calculate this using Excel? If Z~N(0,1), then what is Pr(-0.09 < Z < 2.54)?
- S Y 62 24 A cross was made between yellow and green seeded pea varieties and the number of green peas indicated by Y, versus yellow peas indicated by S in the table was obtained. (Theoretically it is known that the ratio of yellow seed to green is 3:1 in pea varieties.) Test hypotheses on this subject by establishing them.a group of buffaloes is introduced into a wildlife refugee. After t years, the population is given by N= 60/0.25+0.80^t a) how many buffalo were originally introduced into the protected area? B) when will the population reach 124 buffalo?During a recession, Congress decides to stimulate the economy by providing funds to hire unemployed workers for government projects. Suppose that t months after the stimulus program begins, there are N(t) thousand people unemployed, where N(t)=−t^3+39t^2+406t+3088 To avoid overstimulating the economy (and inducing inflation), a decision is made to terminate the stimulus program as soon as the rate of unemployment begins to decline. When does this occur and at this time, how many people are unemployed?