Questions

An identification code is to consist of 4 letters followed by 3 digits Determine the following a How many different codes are possible if repetition is not permitted b How many different codes are possible if repetition is permitted c How many different codes are possible if repetition of letters is permitted repetition of numbers is not permitted and the first 4 letters must be the same letter d How many different codes are possible if the first letter must be R S or T and repetition of letters and number is not permitted b How many different codes are possible if repetition is permitted Choose the correct answer below OA 258 336 000 OB 456 976 000 OC 12 OD 457 976 c How many diff rent codes are possible if repetition of letters is permitted repetition of numbers is not permitted and the first 4 letters must be the same letter Choose the correct answer below

1 A string has a partial differential equation with its initial conditions and boundary equation of J u J u 9 2 Ju u x 0 2x x 1 x 0 0 t u 0 t 0 u L t 0 Find u t

Listen An arch of a walkway can be modeled by y 0 06x2 where x and y are meas meters Find the height and width of the arch when the arch meets the ground at 10 6 and 10 6 10 8 6 6 8 10x Height m Width m

A researches was testing a new vehicle s braking distances at different speeds She recorded the following data for the braking distances Speed mph 10 20 30 40 50 Stopping Distance feet 7 22 47 82 127 Which type of model would be the best model to describe the relationship of the car s speed to its stopping distance O Linear Model Quadratic Model

An investor purchased an ounce of gold several years ago and realized that the value of gold has consistently increased in value over the last several years The investor used the following model to approximate the value of the gold v t 212 1 1 t Which correctly describes one of the parameters of this function The investor purchased 1 1 ounces of gold The investor s gold ounce increases by 212 each year CREDIT SUISSE ONE OUNCE FINE GOLD 999 9 371823 The gold doubles in value every 1 1 years The initial value of the gold was 212

A box contains three cards On one card there is an apple A on another card there is a question mark Q and on the third card there is a rectangle R Two cards are to be selected at random with replacement Complete parts a through e below OD AQ AR QA QR RA RQ c Determine the probability that two question marks are selected 1 9 The probability is Simplify your answer d Determine the probability that a card containing a rectangle and then a card containing a question mark are selected 1 9 The probability is Simplify your answer e Determine the probability that at least one card containing a question mark is selected The probability is Simplify your answer E

Two coins are tossed Assume that each event is equally likely to occur a Use the counting principle to determine the number of sample points in the sample space b Construct a tree diagram and list the sample space c Determine the probability that no tails are tossed d Determine the probability that exactly one tail is tossed e Determine the probability that two tails are tossed f Determine the probability that at least one tail is tossed OA H T H T O B HH HT TH TT OC H T HH HT TH TT OD H T c The probability that no tails are tossed is Simplify your answer d The probability that exactly one tail is tossed is Simplify your answer e The probability that two tails are tossed is f The probability that at least one tail is tossed is Simplify your answer Simplify your answer

Construct a set of six pieces of data with mean median and midrange of 63 and where no two pieces of data are the same Choose the correct answer below OA 55 58 61 65 69 71 OB 60 61 62 64 65 66 OC 53 56 57 69 71 72 OD 57 59 61 64 68 69

A box contains three cards On one card there is an apple A on another card there is a question mark Q and on the third card there is a rectangle R Two cards are to be selected at random with replacement Complete parts a through e below List the sample space Choose the correct answer below OA AA AQ AR QA QQ QR RA RQ RR OB AA AQ AR RA RQ RR OC AQ QR RA OD AQ AR QA QR RA RQ c Determine the probability that two question marks are selected The probability is Simplify your answer d Determine the probability that a card containing a rectangle and then a card containing a question mark are selected

Assume the spinner cannot land on a line Determine the probability that the spinner lands on a red b green c yellow and d not yellow a P red Simplify your answer b P green Simplify your answer G Y R G

Problem 2 3x4points Let f x when x 0 and f 0 0 x3 sin x a Find f 2 write it in the form f 2 and evaluate A B C T6 BT3 C

ATV remote control has keys for channels 0 through 9 a If a key is selected at random what is the probability that the key for channel 7 is pressed b If a key is selected at random what is the probability that the key for an even number is pressed c If a key is selected at random what is the probability that the key for a number more than 6 is pressed a The probability that the key for channel 7 is pressed is Simplify your answer b The probability that the key for an even number is pressed is Simplify your answer c The probability that the key for a number more than 6 is pressed is

In a proposed business venture a businesswoman estimates there is a 65 chance she will make 59 000 and a 35 chance she will lose 53 000 Determine her expected value Her expected value is

5 If sin a and cos 1 where a and 3 find a sin a c csc a b tan a d Determine the quadrant containing a A

A box contains three cards On one card there is an apple A on another card there is a question mark Q and on the third card there is a rectangle R Two cards are to be selected at random with replacement Complete parts a through e below a Determine the number of sample points in the sample space There are points in the sample space b Construct a tree diagram Choose the correct answer below OA R O B Q O C A Q O D A A R Q R R A A R A Q A R

Assume that a person spins the pointer and is awarded the amount indicated by the pointer If it costs 2 to play the game determine a the expectation of a person who plays the game b the fair price to play the game a dollars Round to the nearest cent b dollars Round to the nearest cent 1 5 10 1

The odds in favor of Frank McKinnis winning a hot dog eating contest are 2 9 a Determine the probability that Frank will win the contest b Determine the probability that Frank will not win the contest a The probability that Frank will win the contest is b The probability that Frank will not win the contest is

What is the probability of getting either a three or a five when drawing a single card from a deck of 52 cards www What is the probability that the card is either a three or a five Simplify your answer Type an integer or a fraction

Several friends chartered a boat for a day s fishing They caught a total of 55 fish The table below provides information about the type and number of fish caught Determine the empirical probability that the next fish caught is a flounder Number caught Fish Grouper 10 Shark 18 Flounder 8 Kingfish 19 P flounder Simplify your answer Type a fraction

This protein or protein complex functions in the cell to stop cell division if the cell has experienced extensive DNA damage Multiple Choice Condensin p53 FtsZ

The point of constriction on chromosomes that contains certain repeated DNA sequences that bind specific proteins is called Multiple Choice The centriole The kinetochore The centrosome The cohesin complex

If a cell contained a mutation in the gene that encodes FtsZ which process would be affected Multiple Choice Prophase Septation DNA Synthesis Cytokinesis

Multiple Choice A protein that destroys cohesin through its protease activity A protein that marks a protein called securin for destruction A protein that is part of the cohesin complex A protein that targets the mitotic cyclin for degradation

At what checkpoint s does the cell arrest in response to DNA damage Multiple Choice G2 M G2 M and spindle G1 S and G2 M spindle

16 This is the stage of mitosis characterized by the alignment of the chromosomes in a ring along the inner circumference of the cell 25 oints Multiple Choice Metaphase Interphase Prophase

2 You are conducting a genetic screen using Caenorhabditis elegans embryos to isolate mutations affecting anaphase A Therefore you need to look for embryos in with Multiple Choice the centromeres do not move toward the poles the spindle apparatus does not disassemble sister chromatids are mismatched and therefore fail to separate the poles do not move apart

Help Save Exit Submit 9 A cell biologist produces a karyotype of mouse somatic cells arrested in mitosis She sees 40 chromosomes which is completely normal for mice Based on this information what is the haploid number of chromosomes for mice 25 Multiple Choice C It cannot be determined from the information provided 80 C 40 10

Assume a is opposite side a is opposite side b and y is opposite 32c56 5xx s 66 a 42 b 32 c 56 5xx

Multiple Choice 46 pairs of sister chromatids and 184 individual DNA molecules 46 pairs of sister chromatids and 46 individual DNA molecules 46 pairs of sister chromatids and 92 individual DNA molecules 23 pairs of sister chromatids and 46 individual DNA molecules 23 pairs of sister chromatids and 92 individual DNA molecules

b 5 52 nts Multiple Choice 16 222 32

5 These structures are held together by cohesin Multiple Choice Homologous chromosomes Sister chromatids Solenoids

A scientist wants to study histones Histones are Multiple Choice proteins that regulate checkpoints in the mitotic cell cycle proteins that serve as the spindle fiber to pull sister chromatids apart during anaphase proteins that double stranded DNA molecules wrap around in eukaryotes proteins that double stranded DNA molecules wrap around in prokaryotes and eukaryotes proteins that required for the activity of Cdk enzymes

How much water will a 16 ft by 21 ft by 9 ft swimming pool contain rounded to the nearest gallon gal

Meerkats inside outside 4 How do Meerkats a placental mammal differ from marsupial mammals like Wallabies these are over in the Kids Zone if you want to brave that area Focus your answer on reproductive attributes Phylogenetic trees for reference Cnidaria Porifera Bryozoa Brachiopoda Arthropoda Platyhelminthes Protostomes Metazoans Mollusca Annelida Coelomates Echinodermata Chordata Hemichordata Deuterostomes

4 Rank these three groups Pinnipeds Cetaceans Lutrines according to how well adapted each group is to living in the oceans Hint use the foot fin structure as a proxy for how well adapted the organisms is to aquatic living e g webbed feet partly adapted fin more extremely adapted Based on your ranking which group would you predict to have an older fossil record

2 The slimy skin of these amphibian help them exchange gases through their skin In a dry climate the skin would obviously be susceptible to dessication What other aspect of amphibian ecology ties the members of this group to a moist habitat near standing water

Octopus Mid level 2 Octopuses are molluscs that have lost in an evolutionary sense their shell Are molluscs proterostomes or deuterostomes

Madagascar Hissing Cockroaches outside 3 Identify two characteristics that make these arthropods

Fish mid level 3 Examine the smaller non tetrapod marine vertebrates i e fish swimming in any of the tanks at this level Take a close look at the structure of the fins and carefully describe it Are the fins fleshy lobed comprised of a muscular limb with some minor fin material around the perimeter or are the fins mostly bony material

2 Whales the Cetaceans represent a second group of mammals that returned to the oceans Describe the body shape of a whale by looking at the skeleton overhead over by the puffins and the shape and number of the limbs

Either pick up an urchin or have a staff person do it and observe the tube feet What does the urchin use the tube feet for and how do they work

1 The walrus the sea lion and the seal all belong to a group called the Pinnipeds meaning fin foots on the Carnivore branch Their modification of the basic tetrapod foot is extreme but it is still recognizable as a foot For example examine the sea lion skeleton and look at the forelimbs How many digits does it have on each forelimb

6 Along with Placoderms Sharks and rays constitute one of the vertebrates The gill slits are very visible on sharks What function is the shark performing look closely with respect to the gill slits How do sharks and rays differ from other vertebrates with respect to their skeleton

Part II Discovery Hut Rhinoceras Iguana 1 Watch the iguana for a little while Describe the posture of this creature i e how the limbs are attached to the trunk of the body Is it a sprawling gait a semi erect gait or a fully erect gait

The value of a computer t years after purchase is v t 2000e 0 15t At what rate is the computer s value falling after 4 years In 4 years the computer s value will be depreciating at the rate of approximately Round to the nearest dollar as needed per year

The velocity of a parachutist during free fall is f t 70 1 e 0 14t meters per second Answer the following questions using the graph Recall that acceleration is the derivative of velocity 70 60 ft a What is the approximate velocity when t 4 seconds m sec 50 40 30 20 10 0 O 10 20 20 30

Let a and b be positive numbers A curve whose equation is y e a bx ae is called a Gompertz growth curve These curves are used in biology to describe certain types of population growth Compute the derivative of y e 3e 0 03x y

A painting purchased in 1998 for 50 000 is estimated to be worth v t 50 000et 10 dollars after t years At what rate will the painting be appreciating in 2005 In 2005 the painting will be apprieciating at Round to the nearest dollar as needed per year

Suppose x 12x 54 sin 3x f 0 14 and f 0 4 Then f x

Evaluate 8 27 cos 152 3 dx