Questions

The table on the right gives the popular and electoral votes for the two major candidates for a presidential election The total popular vote count including votes that went to other candidates is also given All electoral votes are shown Complete parts a and b below i pivo u Ivu Candidate A B Total popular vote Which candidate if either received a popular majority A Candidate B received a popular majority B Neither candidate received a popular majority C Candidate A received a popular majority Electoral Votes 183 185 Popular Votes 4 290 823 4 036 780 8 424 637 b Compute each candidate s percentage of the electoral vote Was the electoral winner also the winner of the popular vote Candidate A received of the electoral vote Round to two decimal places as needed

How much must be deposited today into the following account in order to have 35 000 in 7 years for a down payment on a house Assume no additional deposits are made An account with annual compounding and an APR of 5 should be deposited today Do not round until the final answer Then round to the nearest cent as needed

38 The two column vectors and 2 of a 2 x 2 matrix A are shown in the accompanying sketch Con sider the linear transformation 7 x Ax from R2 to R2 Sketch the vector 1 U U

45 S x 2 124 12 2 SO 4 S O 12

13 Applications of Differe f x 3 x 2 x

For the following distribution how many people had scores greater than X 14 X f 20 25 2 15 19 5 10 14 4 5 9 1 O 10 07 O 11

Zoey purchased some beef and some chicken for a family barbecue The beef cost 6 50 per pound and the chicken cord bought a total of 18 lb of meat and spent 99 00 How much of each type of meat did she purchase O 10 lb of beef and 8 lb of chicken O8 lb of beef and 10 lb of chicken 6 lb of beef and 12 lb of chicken O 12 lb of beef and 6 lb of chicken

What kind of frequency distribution graph shows the frequencies as bars with no space between adjacent bars O a polygon O a histogram O a pie chart O a bar graph

A score equal to the 5th percentile is one of the highest scores in the distribution O True O False

In a frequency distribution graph frequencies are presented on the and the scores categories are listed on the O horizontal line vertical line OY axis X axis O X axis Y axis O class interval horizontal line

What is the shape of the distribution for the following set of data Scores 1 2 3 3 4 4 45 5 5 5 6 O positively skewed O negatively skewed O cumulative symmetrical

B A W18 x 71 is used as a beam with an unbraced length of 9 feet Use F 65 ksi and C 1 and compute the nominal flexural strength Compute everything with the equations in Chapter F of the AISC Specification

A professor records the number of students who are absent each day for the semester Because this is a numeric discrete variable a bar graph should be used to show the frequency distribution O False O True

A set of scores ranges from a low of X 18 to a high of X 98 If the scores are put in a grouped frequency distribution table with an interval width of 10 points the bottom interval should be 10 19 O False True

44 4321 th 2 3 O ordinal O non numeric 1 nominal interval or ratio 4 Figure 2 1 What scale of measurement was used to measure the scores in the distribution shown in the accompanying graph Figure 2 1 5 6 X

Find the slope of the line through each pair of points X X X Y 3 2 10 8 16 1 26 X X X ya 4 17 5 15 13 13 5 15 17 1

If a set of exam scores forms a symmetrical distribution what can we conclude about the students scores O Most of the students had relatively high scores O It is not possible the draw any conclusions about the students scores O About 50 of the students had high scores and the rest had low scores O Most of the students had relatively low scores

A grouped frequency distribution table does not provide enough information to obtain a complete listing of the original set of scores O False O True

11 The beam shown in Figure P5 5 11 has lateral support at a b c Compute C for segment b c a Use the unfactored service loads b Use factored loads k 10 b 15 PD 1 7 k PL 5 k 10 0 5 k ft WD W 0 9 k ft H

14 2 Design a bearing plate of A36 steel to support a beam reaction consisting of 28 kips dead load and 56 kips live load Assume that the bearing plate will rest on concrete with a surface area larger than the bearing area by an amount equal to 1 inch of concrete on all sides of the plate The beam is a W30 X 99 with Fy 50 ksi and the concrete strength is f 3 ksi a Use LRFD b Use ASD

49 Velocity of a Bike Wheel A woman rides a bicycle for 1 hour and travels 16 kilometers about 10 miles Find the angular velocity of the wheel if the radius is 30 centimeters

45 Velocity of a Lawnmower Blade A gasoline driven lawnmower has a blade that extends out 1 foot from its center The tip of the blade is traveling at the speed of sound which is 1 100 feet per second Through how many rpm is the blade turning

In a small fishing vilage outside of St John s Newfoundland the tides can be modeled by the function 1 H 2 5cos27 4 With 12 H t measured in metres and t measured in hours after midnight What is the tide height at noen

For each problem below a point is rotating with uniform circular motion on a circle of radius r 35 Find v if r 2 inches and w 5 radians per second 36 Find v if r 8 inches and w 4 radians per second 37 Find w if r 6 centimeters and v 3 centimeters per second

For each of the following problems find the angular velocity associated with the given rpm s 29 10 rpm 31 33 rpm 33 5 8 rpm 30 20 rpm 32 16 rpm 34 7 2 rpm

Solve the equation Write the solution set with the exact values given in terms common or natural logarithms e2y7ey 12 0

Each color is characteristic of a distinct visible light color of an object is because the object does not wavelength absorb reflect wavelength We can see the that particular light

In the problems that follow point P moves with angular velocity w on a circle of radius r In each case find the distance s traveled by the point in time t 23 w 4 radians per second r 2 inches t 5 seconds 24 w 2 radians per second r 4 inches t 5 seconds 3 25 w 37 radians per second r 4 meters t 30 seconds 2

orodeoxyglucose is a derivative of glucose that contains the radionuclide fluorine 18 A patient is given a sample of this material containing 245 MbQ of fluorine 18 a megabecquerel is a unit of radioactivity The patient then undergoes a PET scan to detect areas of metabolic activity indicative of cancer After 138 minutes one third of the original dose remains in the body Use a function of the form Q t Qoe kt to model the radioactivity level of fluorine at a time t minutes after the initial dose Give the value of k to three decimal places Do not round intermediate calculations Your Answer

Determine if the set is the empty set x x is a day of the week whose name begins with the letter Y OYes it is the empty set O No it is not the empty set

e the data in the following table which lists survey results from high school drivers at least 16 years of age Assume that subjects are randomly selected from those cluded in the table Drove When Drinking Alcohol No 3073 4307 Yes 731 136 Texted While Driving No Texting While Driving four different high school drivers are randomly selected find the probability that they all drove when drinking alcohol he probability that four randomly selected high school drivers all drove when drinking alcohol is Round to six decimal places as needed

0 FIGURE 2 100 d 21 Rotating Light Figure 2 shows a lighthouse that is 100 feet from a long straight wall on the beach The light in the lighthouse rotates through one complete rotation once every 4 seconds Find an equation that gives the distance d in terms of time t then find d when t is second and seconds What happens when you try t 1 second in the equation How do you interpret this 1

The table on the right gives the popular and electoral votes for the two major candidates for a presidential election The total popular vote count including votes that went to other candidates is also given All electoral votes are shown Complete parts a and b below Candidate A B Total popular vote Electoral Popular Votes Votes 183 185 Candidate B received of the total popular vote Round to two decimal places as needed KORTELE 4 290 823 4 036 780 8 424 637 a Compute each candidate s percentage of the total popular vote Did either candidate receive a popular majority Candidate A received 50 93 of the total popular vote Round to two decimal places as needed

Are the sets equal p q r s q s r p Yes O No

A 1 2 3 19 A B 5 A O donar k BI 3 2 B 1 C 2 pol Batronal t The right answer is D 3

Find the annual percentage yield APY in the following situation A bank offers an APR of 3 1 compounded daily The annual percentage yield is Do not round until the final answer Then round to two decimal places as needed

Instructions Point P sweeps out central angle as it rotates on a a circle of radius r as given below In each case find the angular velocity of the point P 13 0 2 2T t 5 seconds 3

3 Solve the system of equations shown below listing your answer as an ordered pair 8 7 6 5 3 2 1 4 3 2 1 8 7 8 5 1 2 3 1 5 6 7 1 2 3 5 6 7 B 2x y 7 x 3x 2y 0

An English teacher has equal numbers of fiction literature and poetry bool s Each day she randomly selects one book to read from She designs a simulation to estimate the probability that the next three books she selects are all literature Which simulation design could she use to estimate the probability O A Coin Let heads H literature Let tails T fiction or poetry Toss the coin three times Repeat OB Number cube Let 1 6 literature Let 2 5 fiction Let 3 4 poetry Roll the cube three times Repeat O C Number cube Let odd number literature Let even number not literature Roll the cube three times Repeat O D Random digits from 0 to 9 literature Let 1 2 3 Let 4 5 6 fiction Let 7 8 9 0 poetry Select three random digits from 0 to 9 Repeat

4 Extra credit Given the system of equations shown below find the value of 3x y at the solution point 8 7 6 5 4 3 2 1 3 1 5 7 8 7 8 5 4 3 2 1 2 5 6 2x y 2 4x y 8

In this problem set round any answers that need rounding to three significant digits Find the linear velocity of a point moving with uniform circular motion if the point covers a distances in an amount of time t where 1 s 3 feet and t 2 minutes

Find the distance s covered by a point moving with linear velocity v for a time t if 7 v 20 feet per second and t 4 seconds 8 v 10 feet per second and t 4 seconds 9 v 45 miles per hour and t hour

Use the Venn diagram shown to the right to list the set An Bin roster form AnB Use a comma to separate answers as needed possible U 4 5 19 3 10 11 7 13 15 14

Use the Venn diagram to represent the set An B in roster form ANB Use a comma to separate answers as needed

Let U q r s t u v w x y z A q s u w y B q s y z C v w x y z List the elements in the set BUC O A q r s t u v w x y z OB q s u w y OC v w x y z OD q s v w x y z

The 18th 19th and 20th numbers in the Fibonacci sequence are respectively 2584 4181 and 6765 What is the 21st number Choose the correct answer below O O O O Save O A The 21st number is 4181 x6765 because each number in the sequence is the product of the previous two numbers B The 21st number is 6765 1 6 because each number in the sequence is inversely proportional to the previous number in the sequence by a factor of 1 6 C The 21st number is 2584 x4181 because each number in the sequence is the product of the two numbers preceding the previous number in the sequenc D The 21st number is 6765 x 1 6 because each number in the sequence is directly proportional to the previous number in the sequence by a factor of 1 6 E The 21st number is 4181 6765 because each number in the sequence is the sum of the previous two numbers OF The 21st number is 2584 4181 because each number in the sequence is the sum of the two numbers preceding the previous number in the sequence

Determine the exact value of sin 17 12 points

A math tutor working with a small study group has classified students in the group by whether or not they scored 95 or above on each of three tests The results are shown in the Venn diagram to the right Use the Venn diagram to represent the set of students who scored 95 or above on exam 2 and exam 3 in roster form possible Choose the set of students who scored 95 or above on exam 2 and exam 3 O A Gus Ny Roz Don Jen Ben Eva Flo O B Gus Ny Ben Eva Flo OC Lon Cam Al Hui OD Roz Don Jen Exam 1 95 Mel Oli Ken Pat Ev

Find the cardinal number for the set B x x is a letter of the alphabet OA 25 OB 30 OC 23 OD 26

What is the golden ratio Choose the best answer below OA The golden ratio is 1 5 2 B The golden ratio is a perfect number discovered by Pythagoras 8 OC The golden ratio is 5 D The golden ratio is exactly 1 6