A weapons manufacturer uses a liquid propellant to produce gun cartridges. During the manufacturing process, the propellant can get mixed with another liquid to produce a contaminated cartridge. A University of South Florida statistician hired by the company to investigate the level of contamination in the stored cartridges found that 23% of the cartridges in a particular lot were contaminated. Suppose you randomly sample (without replacement) gun cartridges from this lot until you find a contaminated one. Let x be the number of cartridges sampled until a contaminated one is found. It is known that the probability distribution for x is given by the formula

$$p ( x ) = ( .23 ) ( .77 ) ^ { x - 1 } , x = 1,2,3 , \ldots$$

Find

$$P ( x \geq 2 )$$

Interpret this result.

Answer the following.

Show that the points $(-2,2),(13,10),(21,-5)$, and $(6,-13)$ are the vertices of a rhombus (all sides equal in length).

What is the psychodynamic model of addiction?

Acetic acid ( $\left.\mathrm{CH}_3 \mathrm{CO}_2 \mathrm{H}\right)$, whose aqueous solutions are known as vinegar, is prepared by reaction of ethyl alcohol ( $\left.\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{OH}\right)$ with oxygen:

$$\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{OH}(l)+\mathrm{O}_2(\mathrm{~g}) \longrightarrow \mathrm{CH}_3 \mathrm{CO}_2 \mathrm{H}(l)+\mathrm{H}_2 \mathrm{O}(l)$$

Use the following data to calculate $\Delta H^{\circ}$ in kilojoules for the reaction:

$$\begin{aligned} &\left.\Delta H^{\circ}{ }_{\mathrm{f}} \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{OH}(I)\right]=-277.7 \mathrm{~kJ} / \mathrm{mol} \\ &\left.\Delta H^{\circ}{ }_{\mathrm{f}} \mathrm{CH}_3 \mathrm{CO}_2 \mathrm{H}(T)\right]=-484.5 \mathrm{~kJ} / \mathrm{mol} \\ &\Delta H^{\circ}{ }_{\mathrm{f}}\left[\mathrm{H}_2 \mathrm{O}(I)\right]=-285.8 \mathrm{~kJ} / \mathrm{mol} \end{aligned}$$

What is your response to the developments in Act 2? Have your feelings toward any of the characters changed? Explain.

In each sentence below, cross through any verb that does not agree with its subject and write the correct form of the verb above the incorrect form. If all the verbs in a sentence are already correct, write $C$ to the left of the item number.

Example 1. Either my brother or one of my parents $\cancel{\text{feed}}$ (feeds) the dogs in the evening.

18. Believe me, Tiger is stronger than a lot of dogs twice her size is!

Determine whether or not the relationship is a function. Justify.

{(1,8),(-6,21),(-11,21),(-3,11),(0,21)}

Explain how you can add the sum in your head. 11 + 7 + 12 + 13 + 8 + 9

According to DSM 5, cultural syndromes and idioms of distress shape local symptom profiles of acute stress disorder.

True or false?

Escriba la letra que indique la relación correcta con cada expresión de la columna de la izquierda. a. guerra entre Bolivia y el Paraguay  b. industria ganadera  c. minerales  d. grandes productores de petróleo  e. capital del Ecuador  f. Buenos Aires  g. capital del Paraguay  h. la Banda Oriental  i. La Pampa  j. Buenos Aires y Montevideo  k. capital de Colombia

Asunción ____

The data below gives the spending on collegiate student financial aid from several sources. Write the spending amount in dollars by the given source in scientific notation.

State Grant Programs

Student Financial Aid

How has desertification changed the relationship between farmers and nomads in Darfur?

Determine which function has a range of all real numbers less than or equal to -3. (A) y=-|x-3| (B) y=|x|-3 $(C)$ y=-|x|-3 (D) y=|x-3|

A landform that rises above the surrounding land is __________.