The number of tickets sold at high school basketball games in a particular conference are normally distributed with a mean of 68.7 and a standard deviation of 13.1.

About what percent of the games sell fewer than 75 tickets?

Give all six trigonometric function values for each angle $\theta$. Rationalize denominators when applicable. $\sin \theta=\frac{\sqrt{3}}{5}$, and $\cos \theta<0$

Why are predictions for the number of valence electrons only for representative elements?

Let $H=\left\{2^{m}: m \in \mathbf{Z}\right\}.$ A relation R is defined on the set $\mathbf{Q}^{+}$ of positive rational numbers by a R b if $a / b \in H.$ (a) Show that R is an equivalence relation. (b) Describe the elements in the equivalence class [3].

A ship is sailing in a north-east direction at a speed of 50 km/h. The destination of the ship is on a meridian 3,000 km east of the starting point. Note that speed is the absolute value of velocity:

(a) What is the velocity vector of the ship? (b)How long does it take the ship to reach its destination? (c)What is the total distance traveled from the starting point to its destination?

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

Identify the conic as a circle or an ellipse. Then find the center, radius, vertices, foci, and eccentricity of the conic (if applicable), and sketch its graph.

$$\frac{x^2}{25}+\frac{y^2}{16}=1$$

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. The statement to be considered is: The Midpoint Rule is always more accurate than the Trapezoidal Rule.

Pendant ses vacances, Gilles a tenu un journal. "-? Lis ce passage de son journal et reponds aux questions.

Hier, je suis allé faire une randonnée avec des copains. On a marché dans les bois et après un moment, on ne savait plus où on était! On n'avait pas de carte et on commençait a avoir peur quand on a vu des gens qui nous ont dit comment rentrer au village. On était très fatigués quand on est arrivés au village, mais super-contents! La prochaine fois, je vais prendre une carte de la région! Ça, c'est sor!

1. Est-ce que Gilles est parti faire une randonnee tout seul?

2. Qu'est-ce qui s'est passe?

3. Qu'est-ce qu'il n'avait pas avec lui?

4. Comment est-ce qu'il etait quand il est rentre?

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

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?

Identify the conic as a circle or an ellipse. Then find the center, radius, vertices, foci, and eccentricity of the conic (if applicable), and sketch its graph.

$$\frac{x^2}{25}+\frac{y^2}{25}=1$$

Michael is a college senior who is majoring in marketing. He owns a high-mileage 2003 Ford that has a current market value of $2500. The current replacement value of his clothes, television, stereo, cell phone, and other personal property in a rented apartment totals$10,000. He uses disposable contact lenses, which cost $200 for a six-month supply. He also has a waterbed in his rented apartment that has leaked in the past. An avid runner, Michael runs five miles daily in a nearby public park that has the reputation of being extremely dangerous because of drug dealers, numerous assaults and muggings, and drive-by shootings. Michael’s parents both work to help him pay his tuition.

For each of the following risks or loss exposures, identify an appropriate risk management technique that could have been used to deal with the exposure. Explain your answer.

• a. Physical damage to the 2003 Ford because of a collision with another motorist
• b. Liability lawsuit against Michael arising out of the negligent operation of his car
• c. Total loss of clothes, television, stereo, and personal property because of a grease fire in the kitchen of his rented apartment
• d. Disappearance of one contact lens
• e. Waterbed leak that causes property damage to the apartment
• f. Physical assault on Michael by gang members who are dealing drugs in the park where he runs
• g. Loss of tuition assistance from Michael’s father who is killed by a drunk driver in an auto accident

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