Exam 11: Graphs

Find the price that maximizes the profit if the demand for a product varies from 100 at a price of $800 each to 400 at a price of $200 each. Also, 100 could be supplied at a price of $500 each, whereas 900 could be supplied for $1,300 each. Assume that supply and demand are linear. $__________

Suppose that the annual rainfall in Ferndale, California, is known to be normally distributed, with a mean of 32 inches and a standard deviation of 4 inches. About 0.1% of the time, the annual rainfall will be less than how many inches?

Suppose that the 1999 monthly cost for health care for an employee and two dependents is given in the following table. }">$\text { cellpadding="0" cellspacing="0" width }=" 78 \% " \text { border="0"> }$ Provider Cost Maxicare \ 419.81 Cigna \ 430.96 Health Net \ 434.38 Pacific Care \ 443.27 Health Plan of the Redwoods \ 448.18 Kaiser \ 454.88 Aetna U.S. Healthcare \ 459.99 Blue Shield HMO \ 463.12 Omni Healthcare \ 469.31 Lifeguard \ 473.34 What is the median?

Sketch the graph of the equation. $y = x ^ { 2 } - 4$

The salaries of employees of the Moe D. Lawn Landscaping Company are: cellpadding =0"0 cellspacing ="0" width ="52\%" border ="0"> Salary Frequency \ 25,000 5 \ 27,000 3 \ 29,000 2 \ 39,000 2 Find the variance rounded to the nearest thousand dollars and the standard deviation rounded to the nearest dollar.

Graph the line. $y = 2 - 4 x$

Identify the coordinates of the points on the graph. The scale is one square to 50 units.

Every parabola opens upward.

A retailer bought a vending machine for $2,500 with a probable scrap value of $200 at the end of its expected 10-year life. The value $V$ at the end of $n$ years is given by the formula $V = 2,500 - 230 n$ Graph this equation for ordered pairs $( n , V )$

Plot the points. Use the scale of 1 square = 5 units. $( - 30,20 )$ , $( 0,0 )$ , $( 10,0 )$ , $( 0 , - 10 )$ , $( 20 , - 30 )$

Find the functional value g(u) if $g ( m ) = 4 r + 6 m$

An independent distributor bought a new vending machine for $1,500. It had a probable scrap value of $100 at the end of its expected 10-year life. The value at the end of years is given by Complete the table showing the year and the value of the machine. }">$\text { cellpadding }=" 0 \text { " cellspacing }=" 0 \text { " align }=\text { "center" width }=" 100 \% \text { " border }=" 1 \text { "> }$

Find the range and mean of the data set. $28,29,30,31,32$

The temperature F in degrees Fahrenheit can be approximated by $F = \frac { 1 } { 5 } n + 50$ where $n$ is the number of songbird trills in a minute. Graph this equation for ordered pairs (n,F )

Find the three measures of central tendency (the mean, median, and mode). $2,3,3,5,7,9,14,21$

Is $( 0,4 )$ a solution to the inequality $y \geq \frac { 1 } { 2 } x - 1$ ? Use the given graph of the inequality to answer the question.

Consider a class of examination scores. $\{ 92,87,84,75,72,66,64,63,61,55 \}$ What score is the first quartile?

Is $( 0 , - 2 )$ a solution to the inequality $y \leq \frac { 1 } { 2 } x + 1$ ? Use the given graph of the inequality to answer the question.

Find the variance and the standard deviation (correct to two decimal places) of the following data set. $6,11,16,21,26$ variance: __________ standard deviation: __________

Suppose that, for a certain exam, a teacher grades on a curve according to the figure shown below. It is known that the grades follow a normal distribution with a mean of 40 and a standard deviation of 6. There are 45 students in the class. How many students should receive an A? Please, round your answer to the nearest integer. __________ student(s)