The dart board shown is divided into twenty equal sectors. If the diameter of the board is 18 inches, what area of the board does each sector cover?

A company has a margin of safety of 20%. if expected sales are $50,000, then break-even sales are:

A.$20,000

B.$10,000

C.$40,000

D. $50,000

The given point lies on the terminal side of an angle 0 in standard position. Find the values of the six trigonometric functions of $\theta$. (4, 5)

Some economists suggest that an extra year of education increases a person's wages, on average, by about 14%. Assume you could make $10 per hour with your current level of education and that inflation increases wages at a continuous rate of 3.5% per year. Is the difference you found in part (b) increasing with time? If so, at what rate? (Assume the number of additional years of education stays fixed at four.)

Find the exact value of each expression. If undefined, write undefined. $\csc 5400^{\circ}$

In the 1980s, it was generally believed that congenital abnormalities affected about 5% of the nation's children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities. A recent study examined 384 children and found that 46 of them showed signs of an abnormality. Is this strong evidence that the risk has increased? a) Write appropriate hypotheses. b) Check the necessary assumption s and conditions. c) Perform the mechanic s of the test. What is the P-value? d) Explain carefully what the P-value mean s in context. e) What 's your conclusion? f) Do environmental chemicals cause congenital abnormalities?

Describe how the graphs of g(x) and f(x) are related. f(x)=arctan x and g(x)=arctan 0.5x-3

Find the area of each triangle to the nearest tenth. $\triangle F G H$, if $F=41^{\circ}$, g=22 in., and h=36 in.

Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. In a study of treatments for very painful "cluster" headaches, 150 patients were treated with oxygen and 148 other patients were given a placebo consisting of ordinary air. Among the 150 patients in the oxygen treatment group, 116 were free from headaches 15 minutes after treatment. Among the 148 patients given the placebo, 29 were free from headaches 15 minutes after treatment (based on data from "High-Flow Oxygen for Treatment of Cluster Headache," by Cohen, Burns, and Goadsby, Journal of the American Medical Association, Vol. 302, No. 22). We want to use a 0.01 significance level to test the claim that the oxygen treatment is effective. Test the claim using a hypothesis test.

Graph each pair of functions on the same screen and make a conjecture as to whether they are equivalent for all real numbers. than use the properties of the functions to verify each conjecture. $f(x)=\sec ^{2} x ; g(x)=\than ^{2} x 1$

Use the given data to find the minimum sample size required to estimate a population proportion or percentage. In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.05 margin of error, and use a confidence level of 95%. Assume that prior studies have shown that about 40% of full-time students earn bachelor's degrees in four years or less.

Find the area of each triangle to the nearest tenth. $\triangle X and x$, if $and=124^{\circ}$, x=16 m, and x=18 m

Write each trigonometric expression as an algebraic expression of x. $\cot (\arcsin x)$

Refer to Table 8.13 giving the temperature adjusted for wind chill, C, in $^{\circ} \mathrm{F}$, as a function f(w, T) of the wind speed, w, in mph, and the temperature, T, in $^{\circ} \mathrm{F}$. The temperature adjusted for wind chill tells you how cold it feels, as a result of the combination of wind and temperature.

$$\begin{matrix} & \text{} & \text{} & \text{} & \text{} & \text{Temperature }{\left(^{\circ} \mathrm{F}\right)}\\ & \text{} & \text{35} & \text{30} & \text{25} & \text{20} & \text{15} & \text{10} & \text{5} & \text{0}\\ & \text{5} & \text{31} & \text{25} & \text{19} & \text{13} & \text{7} & \text{1} & \text{-5} & \text{-11}\\ \text{Wind} & \text{10} & \text{27} & \text{21} & \text{15} & \text{9} & \text{3} & \text{-4} & \text{-10} & \text{-16}\\ \text{Speed} & \text{15} & \text{25} & \text{19} & \text{13} & \text{6} & \text{0} & \text{-7} & \text{-13} & \text{-19}\\ \text{(mph)} & \text{20} & \text{24} & \text{17} & \text{11} & \text{4} & \text{-2} & \text{-9} & \text{-15} & \text{-22}\\ & \text{25} & \text{23} & \text{16} & \text{9} & \text{3} & \text{-4} & \text{-11} & \text{-17} & \text{-24}\\ \end{matrix}$$

Estimate $f_{T}(5,20)$. What does your answer mean in practical terms?