When you see an object under water, how does the apparent depth of the object compare with the actual position of the object?

$$\begin{array} { l } { \text { Let a be a primitive element for the field GF(5"), where } n \text { is a posi- } } \\ { \text { tive integer. Find the smallest positive integer } k \text { such that } a ^ { k } = 2 } \end{array}$$

If Y has a log-normal distribution with parameters

$$\mu \text { and } \sigma ^ { 2 }$$

, it can be shown that

$$E ( Y ) = e ^ { \left( \mu + \sigma ^ { 2 } \right) / 2 } \quad \text { and } \quad V ( Y ) = e ^ { 2 \mu + \sigma ^ { 2 } } \left( e ^ { \sigma ^ { 2 } } - 1 \right)$$

. The grains composing polycrystalline metals tend to have weights that follow a log-normal distribution. For a type of aluminum, gram weights have a log-normal distribution with

$$\mu = 3$$

and

$$\sigma = 4$$

(in units of

$$10 ^ { - 2 }$$

g). Find the probability that a randomly chosen grain weighs less than the mean grain weight.

Ben, another American visitor to Canada, uses this rule to convert centimetres to inches: Multiply by 4 and then divide by 10. Let the function g be the method for converting centimetres to inches, according to Ben's rule. a) Write

$$g^{-1}$$

as a rule. b) Describe a situation in which the rule for

$$g^{-1}$$

might be useful. c) Determine

$$g(x)$$

and

$$g^{-1}(x)$$

. d) One day, 15 cm of snow fell. Use function notation to represent this amount in inches. e) Ben is 5 ft 10 in. tall. Use function notation to represent his height in centimetres.

Circulez dans la classe et trouvez quelqu'un qui a fait les choses suivantes. Avec un(e) camarade, posez les questions et répondez. (Attention a la question qu'il faut poser!)

voir quelqu'un d'interessant (avant de venir en classe)

Circulez dans la classe et trouvez quelqu'un qui a fait les choses suivantes. Avec un(e) camarade, posez les questions et répondez. (Attention a la question qu'il faut poser!)

prendre sa voiture pour aller au marchée (hier)

Indicate what type of phrase of the underlined phrases is.

Centuries ago, Alaska's Eskimo peoples began using dogsleds to travel $\underline{\text{{across the snow}}}$. The dogsled, $\underline{\text{{a reliable means of transportation}}}$, later carried gold miners and others along Alaska's trails. The invention $\underline{\text{{of the snowmobile}}}$ changed all that.

Joe Redington, $\underline{\text{{a dedicated dogsledder}}}$, wanted to keep dogsledding alive. $\underline{\text{{To spark enthusiasm}}}$, he organized the first Iditarod Trail Sled Dog Race in $1973$.

For a winter fair, some students decide to build 30.0-kg wooden pull-carts on sled skids. If two 90.0-kg passengers get in, how much force will the puller have to exert to move a pull-cart? The coefficient of maximum static friction between the cart and the snow is 0.15. A. $1.8 \times 10^{2} \mathrm{N}$. B. $3.1 \times 10^{2} \mathrm{N}$. C. $2.1 \times 10^{3} \mathrm{N}$. D. $1.4 \times 10^{4} \mathrm{N}$.

Antonyms are words with opposite meanings Rewrite the following sentences by replacing each word or phrase in italics with its antonym from the vocabulary list on page 336 . Then, explain which version of each sentence makes more sense.

Her body was upright and at attention as she received her medal.

Identify whether the following statement is a fact or an opinion: "At first, patricians had more rights than plebeians."

Solve each problem. Ski resorts require large amounts of water in order to make snow. Snowmass Ski Area in Colorado plans to pump between 1120 and 1900 gal of water per minute at least 12 hr per day from Snowmass Creek between mid-October and late December. Determine an equation that will calculate the minimum amount of water A (in gallons) pumped after x days during mid-October to late December.

For each of the following statements, say whether or not the situation is probabilistic, and explain why or why not. If not, rephrase the statement so that it describes a probabilistic situation.

a. the probability that the U.S. secretary of state is a woman

b. the probability that a person will be able to read newspapers more intelligently after completing this course

c. the probability that the soon-to-be-born baby of a pregnant Mrs. Johnson with two sons will be a girl

d. the probability that a woman's planned third child will be a girl, given the information that her first two children are boys

e. the probability that it will snow tomorrow in this city

f. the probability that Joe ate pizza yesterday

Solve each problem.

Ski resorts require large amounts of water in order to make snow. Snowmass Ski Area in Colorado plans to pump between $1120$ and $1900$ gal of water per minute at least $12 \mathrm{~hr}$ per day from Snowmass Creek between mid-October and late December.

In how many days could a minimum of $1000$ pools be filled?

For accelerated motion let s=s(t) and v=v(t), derive $t=\frac{2\left(s-s_0\right)}{v_0+v}$ .