3. For a certain species of shark, its length (in feet) varies according to the equation...
Questions 18-19: We want to use an alligator’s length (in feet) to predict its weight (in pounds). A linear regression model is fit and is y = 10 + 41x. 18. An alligator that is 10 feet long actually weighs 403 pounds. Calculate that alligator’s residual: * (A) –17 (B) –0.41 (C) 0.41 (D) 9.59 (E) 17 19. Choose the best interpretation of the slope: * (A) An alligator that is 0 feet long, on average, will weigh 10 pounds....
The weight (in pounds) w t(d) of an object varies inversely as the square of its distance (in thousands of miles) d from the center of Earth a. An astronaut weighs 180 pounds at sea level (about 4 thousand miles from Earth's center) Find an equation off b. How much would the astronaut weigh at 4 thousand miles above Earth's surface? pounds c. At what distance from the center of Earth would the astronaut weigh 1 pound? miles (Round to...
/53.) Length of pregnancies The length of human preg- nancies from conception to birth varies according to a distribution that is approximately Normal with mean 20-122 266 days and standard deviation 16 days. For each part, follow the four-step process. (a) At what percentile is a pregnancy that lasts 240 days (that's about 8 months)? (b) What percent of pregnancies last between 240 and 270 days (roughly between 8 months and 9 months)? (c) How long do the longest 20%...
According to a recent study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of 18.01 mm and a standard deviation of σ=1.69 mm. Complete parts (a) through (d) below. a) . Find the percentage of the tarantulas that have a carapace length between 16 mm and 17 mm. b) Find the percentage of the tarantulas that have a carapace length exceeding 19 mm. c) Determine and interpret the quartiles for...
2. The length of human pregnancies from conception to birth varies according to a normal distribution with mean 272 days and standard deviation 19.5 days. (a) If one birth is selected at random, then find the probability the pregnancy lasted no more than 250 days. (15) (b) If 1000 births are randomly selected, then how many of the pregnancies would be expected to last no more than 250 days? ack to 3. (a) Referring to Problem 2, at least how...
3. A baseball is projected upward form the top of 448 foot tall bulding with an initial velocity of 48 feet per second. The distance s of the baseball from the ground at any time t, in seconds, is glven by the equation s-16r2 +48t+448 How long will it take the ball to hit the ground? a. b. How high will the ball be in 6 seconds? When will the ball be 448 feet in the air? c. d. If...
4. A certain circuit is properly fused for a 5-horsepower motor. If the motor is to be replaced by several X-horsepower motors, how many motors will the fuses be able to carry? 5. A 20-foot length of underground cable is cut into 6-inch pieces. How 6. How many whole wedges 3% inches long can be made from 20 wedge Both work 5 days per week. Over a 2-week period, how many times longer than electrician A does electrician B work,...
1. If a ball is thrown vertically upward with a certain velocity, its height (in feet) after t seconds is s(t) = 28t - 4tº. Answer the following questions with correct units. (a) Find the velocity and acceleration of the ball after 2 sec? (b) What is the maximum height reached by the ball? (c) Determine the velocity of the ball when it hits the ground. 4 6 6 6 6 2. Find the derivatives of the following functions. You...
3. (5 points) Species A and B are separated using a distillation column according to the process flow diagram below. How many more process variables must be measured or defined before all flowrates and compositions can be calculated? Justify your answer. а. 0 X2A = b. 1 X2,B с. 2 = 100 h d. 3 Half of the A fed to the column x1,A = 0.70 exits in stream 2 X,8 = 0.30 (by mass) Хз.л Vз хзв 4. (5...