The bar graph gives the life- expectancy for American men and women born in six selected years. In Exercises 89-90, you will use the data to obtain models for life expectancy and make predictions about how long American men and women will live in the future . Use the data for females shown in the bar graph at the bottom of the previous column to solve this exercise. a. Let x represent the number of birth years after 1960 and let y represent female life expectancy. Create a scatter plot that displays the data as a set of six points in a rectangular coordinate system . b . Draw a line through the two points that show female life expectancies for 1970 and 2000. Use the coordinates of these points to write a linear function that models life expectancy, E ( x ), for American women born x years after 1960. Round the slope to two decimal places. c. Use the function from part (b) to project the life expectancy of American women born in 2020.
The bar graph gives the life- expectancy for American men and women born in six selected years. In Exercises 89-90, you will use the data to obtain models for life expectancy and make predictions about how long American men and women will live in the future . Use the data for females shown in the bar graph at the bottom of the previous column to solve this exercise. a. Let x represent the number of birth years after 1960 and let y represent female life expectancy. Create a scatter plot that displays the data as a set of six points in a rectangular coordinate system . b . Draw a line through the two points that show female life expectancies for 1970 and 2000. Use the coordinates of these points to write a linear function that models life expectancy, E ( x ), for American women born x years after 1960. Round the slope to two decimal places. c. Use the function from part (b) to project the life expectancy of American women born in 2020.
Solution Summary: The author analyzes the scatter plot of the data as a set of six points, and the linear function that models life expectancy for women born after 1960.
The bar graph gives the life- expectancy for American men and women born in six selected years. In Exercises 89-90, youwilluse the data to obtain models for life expectancy and make predictions about how long American men and women will live in the future
.
Use the data for females shown in the bar graph at the bottom of the previous column to solve this exercise.
a. Let x represent the number of birth years after 1960 and let y represent female life expectancy. Create a scatter plot that displays the data as a set of six points in a rectangular coordinate system.
b. Draw a line through the two points that show female life expectancies for 1970 and 2000. Use the coordinates of these points to write a linear function that models life expectancy, E (x ), for American women born x years after 1960. Round the slope to two decimal places.
c. Use the function from part (b) to project the life expectancy of American women born in 2020.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west
at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane?
A vector with magnitude 5 points in a direction 190 degrees counterclockwise from the positive x axis.
Write the vector in component form, and show your answers accurate to 3 decimal places.
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