In a recreation center with 1,500 members, 200 are high school students. Of the members, 300 regularly swim. The 45 students of the high school swim team are all members and practice at the pool every week. What is the probability that a high school member selected at random is on the swim team?

Are year and technology class enrollment dependent or independent events? Explain.

If 37% of high school students said that they exercise regularly, find the probability that 5 randomly selected high school students will say that they exercise regularly. Would you consider this event likely or unlikely to occur? Justify your answer.

At a high school, 40% of the students play an instrument. Of those students, 20% are freshmen. Of the students who do not play an instrument. 30% are freshmen. What is the probability that a student selected at random is a freshman who plays an instrument?

Which substance is a conductor of electricity tn the liquid phase but not in the solid phase? (1) $\mathrm{Br}_{2}$ (2) HBr (3) Na (4) NaCl

Without doing any calculations, predict the sign of $\Delta H$ for each of the following reactions: $\mathrm { NaCl } ( s ) \longrightarrow \mathrm { Na } ^ { + } ( g ) + \mathrm { Cl } ^ { - } ( \mathrm { g } )$

A box contains 50 batteries, of which 10 are dead and 5 are weak. Suppose you select batteries at random from the box and set them aside for recycling if they are dead or weak. If the first battery you select is dead and the second one is weak, what is the probability that the next battery you select will be weak?

At a particular school with 200 male students, 58 play football, 40 play basketball, and 8 play both. What is the probability that a randomly chosen male student plays neither sport?

Multiply or divide. $-\dfrac{4}{9}\left(\dfrac{1}{3}\right)$

John's mother will not acknowledge that the day is different from any other day. How does her attitude affect her children? Do you think she is portrayed realistically? Tell why or why not.

A walkway surrounds a rectangular garden. The width of the garden is 8 feet, and the length is 6 feet. The width x of the walkway around the garden is the same on every side. Write an expression that represents the total area of the garden and walkway.

At a particular school with 200 male students, 58 play football, 40 play basketball, and 8 play both. What is the probability that a randomly selected male student plays neither sport?

A median of a triangle is a segment joining a vertex to the midpoint of the opposite side. Show that the centroid of a triangle lies on each of its medians, at a distance two-thirds down from the vertex. Then use this fact to prove that the three medians intersect at a single point. Hint: Simplify the calculation by assuming that one vertex lies at the origin and another on the x-axis.

Use the two-way table below to answer the following question. Round the answer to the nearest whole percent. A medical researcher is investigating which of three treatments, A, B, or C, best relieves the symptoms of a chronic disease. The results are shown below.

$$\begin{matrix} & \text{Treatment A} & \text{Treatment B} & \text{Treatment C} & \text{Totals}\\ \text{Showed Improvement} & \text{293} & \text{72} & \text{203} & \text{568}\\ \text{Did Not Show Improvement} & \text{107} & \text{328} & \text{197} & \text{632}\\ \text{Totals} & \text{400} & \text{400} & \text{400} & \text{1,200}\\ \end{matrix}$$

Find the probability that a patient showed improvement given they were taking treatment A.