(05.04 MC)  A city is interested in building a parking garage in a certain area. Three hundred randomly selected residents from this area were asked, “Do you support the city’s decision to build a parking garage in your area?” Of the 300 residents interviewed, 203 said no, 7 said yes, and 90 had no opinion. A large-sample z-confidence interval, p̂ ± z * , was constructed from these data to estimate the proportion of the residents who support building a parking garage in a certain area. Which of the following statements is correct for this confidence interval? (5 points)

(06.07 LC)  The predicted calories in soda based on grams of sugar are represented by the residual plot. What does the pattern in the residual plot indicate about the type of model? (4 points)

Write the sum using summation notation, assuming the suggested pattern continues. 729 + 1000 + 1331 + 1728 + … + n3 (7 points)

A satellite is to be put into an elliptical orbit around a moon as shown below. The moon is a sphere with radius of 567 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 900 km to 169 km. (5 points)

Please describe how the scientific principle of adaptation applies to YOU with regards to your approach to engaging in fitness activities/working out.  List a specific example of how you have applied this principle appropriately OR not appropriately.  

Use graphs and tables to find the limit and identify any vertical asymptotes of the function. (5 points)

A beam has dimensions of b = 16 in., h = 24 in., and d = 21.5 in. and is reinforced with 3 No. 6 bars. The concrete strength is 4,000 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.

Find the limit of the function by using direct substitution.(6 points)  

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 5 + 4 cos θ (5 points)

Find the derivative of f(x) = at x = 12. (5 points)