Give all six trigonometric function values for each angle $\theta$. Rationalize denominators when applicable. $\cos \theta=\frac{\sqrt{5}}{8}$, and $\tan \theta<0$

The following data represent the running times of films produced by two motion-picture companies.

$$\begin{matrix} \text{Company} & \text{Time (minutes) }\\ \text{I} & \text{103} & \text{94} & \text{110} & \text{87} & \text{98}\\ \text{II} & \text{97} & \text{82} & \text{123} & \text{92} & \text{175} & \text{88} & \text{118}\\ \end{matrix}$$

Compute a 90% confidence interval for the difference between the average running times of films produced by the two companies. Assume that the running-time differences are approximately normally distributed with unequal variances.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $\frac{1}{2}+\frac{1}{5}=\frac{2}{7}$____

Find the limits by substitution. Support your answers with a computer or calculator if available.

$\lim _{x \rightarrow \pi} \frac{\cos x}{1-\pi}$

A one-way analysis of variance experiment produced the following ANOVA table.

$$\begin{array}{|l|c|c|c|c|c|c|} \hline {\text { SUMMARY }} \\ \hline \text { Groups } & {\text { Count }} &{\text { Average }} \\ \hline \text { Column 1 } & {10} &{349} \\ \hline \text { Column 2 } & {10} & {348} \\ \hline \text { Column 3 } & {10} & {366} \\ \hline \text { Column 4 } & {10} & {365} \\ \hline \begin{array}{l} \text { Source of } \\ \text { Variation } \end{array} & \text { Ss } & \text { df } & \text { MS } & \text { F } & \text { p-value } & \text { Fcrit } \\ \hline \begin{array}{l} \text { Between } \\ \text { Groups } \end{array} & 2997.11 & 3 & 999.04 & 15.54 & 1.2 \mathrm{E}-06 & 2.866 \\ \hline \begin{array}{l} \text { Within } \\ \text { Groups } \end{array} & 2314.71 & 36 & 64.30 & & & \\ \hline & & & & & & \\ \hline \text { Total } & 5311.82 & 39 & & & & \\ \hline \end{array}$$

a. Use Fisher's LSD method to determine which means differ at the 5% level of significance.

For August, Lanny Company had 25,000 units in BWIP, 40% complete, with costs equal to $36,000. During August, the cost incurred was$450,000. Using the FIFO method, Lanny had 125,000 equivalent units for August. There were 100,000 units transferred out during the month. The cost of goods transferred out is

a. $500,000.
b.$360,000.
c. $450,000.
d.$400,000.
e. $50,000.

In this exercise, determine whether the given statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

To solve $x-9 \sqrt{x}+14=0$, we let $\sqrt{u}=x$.

One hour after x milligrams of a particular drug are given to a person, the change in body temperature T(x), in degrees Fahrenheit, is given by $T(x)=x^{2}\left(1-\frac{x}{9}\right) \quad 0 \leq x \leq 6$ The rate $T^{\prime}(x)$ at which T(x) changes with respect to the size of the dosage x is called the sensitivity of the body to the dosage. (A) When is $T^{\prime}(x)$ increasing? Decreasing? (B) Where does the graph of T have inflection points? (C) Sketch the graphs of T and T$^{\prime}$ on the same coordinate system. (D) What is the maximum value of $T^{\prime}(x)$?

Who bears the freight when the terms of sale are FOB destination?

Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Any quadratic equation that can be solved by completing the square can be solved by the quadratic formula.

Vous regardez la tele avec Juliette . Elle a perdu ses lunettes et elle ne voit pas bien . Confirmez pour elle le personnage de l emission.

Modele : la chanteuse c est Natasha st - Pier ? oui c est elle

L animatrice c est Melissa Theuriau ?

Describe the difference between F.O.B. shipping point and F.O.B. destination.

A new vaccine was recently tested to see if it could prevent the painful and recurrent ear infections that many infants suffer from. The Lancet, a medical journal, reported a study in which babies about a year old were randomly divided into two groups. One group received vaccinations; the other did not. During the following year, only 333 of 2455 vaccinated children had ear infections, compared to 499 of 2452 unvaccinated children in the control group. a) Are the conditions for inference satisfied? b) Find a 95% confidence interval for the difference in rates of ear infection. c) Use your confidence interval to explain whether you think the vaccine is effective.

The time required to finish a given test is normally distributed with a mean of 40 minutes and a standard deviation of 8 minutes. What is the probability that a student chosen at random will take between 24 minutes and 48 minutes?