Find an equation for the nth term of the arithmetic sequence. a15 = -53, a16 = -5 (7 points)

(05.04 MC)  A city is interested in building a swan sanctuary in a certain area. One hundred fifty randomly selected residents from this area were asked, “Do you support the city’s decision to build a swan sanctuary in your area?” Of the 150 residents interviewed, 76 said no, 9 said yes, and 65 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 swan sanctuary in a certain area. Which of the following statements is correct for this confidence interval? (5 points)

For the neonate who becomes septic within the first days of life, the most common etiology is:

(05.02 MC)  A metal washer fabrication machine makes metal washers with a target diameter of μ = 10.5 millimeters. The machine has some variability, so the standard deviation of the diameters is σ = 0.003 millimeter. The machine operator inspects a random sample of nine washers each hour for quality control purposes and records the sample mean diameter, x̄. Assuming the process is working properly, what are the mean and standard deviation of the sampling distribution of x̄? (4 points)

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 5 and 625, respectively. (5 points)

Find an explicit rule for the nth term of the sequence. 7, -7, 7, -7, … (5 points)

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

A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of 408 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 781 km to 562 km. (5 points)

This type of communication we typically don’t receive formal training on, but spend a majority of our time engaging in.

Find an equation in standard form for the hyperbola with vertices at (0, ±6) and asymptotes at y = ± x. (5 points)