2D Geometry Questions and Answers

Compare and contrast how the Sandy River s active channel width and floodplain width changes as you travel downstream from the Sediment Source Reach to the start of the Response Reach The Sediment Source Reach is the area that is the source of the sediment I e the upstream location In the image below the water is running from the top of the image down to the bottom of the image So the Sediment Source Reach is the area at the top of the image and the Response Reach is the downstream location located at the bottom of the image The diagram below shows what the active channel and floodplain looks like channel cutoff natural levee bedrock bar swale topography point bar incipient oxbow alluvium floodplain Ameander scars yazoo stream oxbow lake

There is a strong positive linear correlation between the number of rainy days and the number of grapes produced on a grape plant Does this mean that more rainy days cause the grape plants to produce more OA Yes Since the number of rainy days and number of grapes produced are linearly correlated this means a greater number of rainy days causes the grape plants to produce more OB No Since the number of rainy days and number of grapes produced are linearly correlated this means a smaller number of rainy days causes the grape plants to produce more C No Any number of factors could also affect the number of grapes produced OD Yes Since the number of rainy days and number of grapes produced are positively correlated this means a greater number of rainy days causes the grape plants to produce more

Rosa recorded the height in centimeters of a pea plant over a 10 day perio for a science experiment Which equation is the best model of the data Centimeters 9987654321 10 1 2 3 4 5 6 7 8 9 10 Days O A y 0 5x 1 8 OB y 2 2 1 1 OC y 0 7x 2 1 OD y 2 0 1 4 X123456789 10 y 2334 SS666 4 5 5 5 6 5 6 5

A line of best fit was drawn for 15 data points What is the maximum number of these data points that may not actually be on the line OA 14 OB 15 O C 13 OD 12

6 5 4 3 2 8 7 6 5 4 3 2 7 2 1 2 4 5 6 Q Write an equation for the function graphed above

A sporting goods store sells two types of bicycles in two colors The table shows its sales over the last year Silver Black Total Road bike 75 50 125 Mountain bike 45 30 75 Total 120 80 200 Are buying a road bike and buying a silver bike independent events A No because P road bike 0 625 and P road bike silver 0 375 B No because P road bike 0 625 and P road bike silver 0 625 O C Yes because P road bike 0 375 and P road bike silver 0 625 D Yes because P road bike 0 625 and P road bike silver 0 625

If a coin is flipped 60 times and a head comes up 42 times what is the relative frequency of a head coming up OA 0 55 OB 0 60 OC 0 70 OD 0 65

When representing a frequency distribution with a bar chart which of the following bars will be the tallest OA A bar representing a frequency of 65 OB A bar representing a frequency of 78 OC A bar representing a frequency of 91 OD A bar representing a frequency of 52

Shade the portion of the Venn diagram to illustrate the given set AUB n BUC 1 B Enter the regions to shade in numerical order and without spaces ex 234

By visual inspection determine the best fitting regression model for the scatterplot O A Exponential OB Quadratic OC No pattern D Linear 5 y

A company produces items in small batches The machinery needs to warm up before the items can be produced The scatterplot shows the time needed to produce batches of different numbers of items 100 80 60 X 5 60 40 3 44 20 4 6 8 10 Items produced Production time minutes Based on the line of best fit which of these statements is true O A As the number of items in a batch increases by 1 the production time increases by 12 minutes OB As the number of items in a batch increases by 1 the production time increases by 20 minutes O C It takes about 20 minutes for the equipment to warm up OD It takes about 60 minutes for the equipment to warm up

Which of the following is not a possible r value O A 0 6 OB 0 3 O C 1 3 O D 0 6

A data set contains three points and two of the residuals are 10 and 20 What is the third residual OA 30 OB 10 OC 30 O D 10

Suppose that a regression line for some data transformed with logarithms predicts that when x equals 7 log y will equal 1 755 What does the regression line predict y will equal when x equals 7 Round your answer to the nearest whole number A 12 B 30 C 57 OD 2

Suppose the linear regression line y 2 1x 130 predicts sales based on the money spent on advertising If x represents the dollars spent in advertising and y represents the company sales in dollars about how much can the company expect in sales if it spends 250 in advertising A 525 B 655 C 130 D 250

Suppose the line of best fit is drawn for some data points If the mean of the x coordinates of the points is 5 and the mean of the y coordinates of the points is 7 the line must pass through which of these points A 7 5 B 5 7 C 5 7 D 7 5

A line of best fit predicts that when x equals 25 y will equal 27 745 but y actually equals 29 What is the residual in this case A 1 255 B 2 745 C 1 255 D 2 745

2 Let A 2 3i B 5 4i be two points in the complex plane a What is the equation of the rotation of angle 0 about A f z b Find CEC so that AABC is equilateral and the vertices A B C are oriented counterclockv

Each of 35 samples has a different standard deviation How many of the 35 samples could be from the same population A 35 OB 34 OC 32 OD 33

What is the first quartile of the following data set OA 21 OB 20 OC 23 O D 18 18 20 21 23 24 26 29 30 34 37 40

The following data values represent a sample What is the variance of the sample x 8 Use the information in the table to help you X x x A 8 3 B 12 C 5 9 D 15 12 16 9 1 11 9 5 9 3 25

If a sample of 132 customers is taken from a population of 2340 customers the sample variance s is the variance of how many of the customers ages OA 132 B Both 132 and 2340 C Neither 132 nor 2340 D 2340

You and your friend enter a drawing with 3 different prizes A total of 11 people entered the drawing and prizes are awarded randomly There are 990 ways to award the prizes What is the probability that you win first prize and your friend wins second prize 9 O A 990 OB 1 O C IT OD D 990 11 990

A marketing firm tracks data on grocery store visits In one study it finds that the probability that a shopper buys bread during a visit to the grocery store is 0 60 and the probability that a shopper buys cheese is 0 20 Event A A shopper buys bread Event B A shopper buys cheese A and B are independent events if A the probability of buying bread or cheese is 0 80 OB the probability of buying bread and cheese is 0 C the probability of buying bread or cheese is 0 12 OD the probability of buying bread and cheese is 0 12

2 a Write the polynomial in standard form 8x 6x 3x b Identify the leading coefficient of the polynomia c Identify the degree of the polynomial

Use the Box Graphic Organizer to multiply 3x 1 x 5 Choose the correct values from each drop down menu X 5 3x 1

You are given the polynomial 13x 5 6x x Part A Write the polynomial in standard form Part B Determine the degree of the polynomial

Use Pascal s Triangle to complete the expansion of y z y 4y z y z 4yz z

At a competition with 5 runners medals are awarded for first second and third places Each of the 3 medals is different How many ways are there to award the medals Decide if this is a permutation or a combination and find the number of ways to award the medals OA Permutation number of ways 60 OB Combination number of ways 60 C Permutation number of ways 10 D Combination number of ways 10

Kellie randomly chooses a number from 1 to 10 What is the probability she chooses a number less than 3 A B C D 415 3 10 15 219

Graph the Function cot 3x 5 3 y To draw the graph plot two consecutive asymptotes ar points between those two asymptotes Then click on th

Which expression entered into a graphing calculator will return the probability that 10 or fewer heads come up when flipping a coin 35 times OA binomcdf 35 10 0 5 B binomcdf 10 35 0 5 C binomcdf 35 0 5 10 O D binomcdf 10 0 5 35

Questio What is the probability of flipping a coin 85 times and getting tails 50 times U fewer Round your answer to the nearest tenth of a percent O A 95 9 OB 0 4 O C 99 8 D 33 2

If a binomial trial has a probability of success of 0 3 how many successes would you expect out of 2000 trials O A 1400 OB 1800 O C 1000 O D 600

Ques In a group of 40 students the probability that at most 15 of them like to hike is 36 What is the probability that at least 16 of them like to hike OA 38 OB 55 O C 64 OD 44

Which of these is an example of a discrete random variable O A Weight of a child O B Time worked on a job O C Number of siblings OD Length of a fish

Suppose a binomial trial has a probability of success of 0 3 and 500 trials are performed What is the standard deviation of the possible outcomes Round your answer to two decimal places OA 10 25 OB 8 94 O C 10 95 OD 6 71

1 27 y 3 cos x 2n x 6

Graph one complete cycle for each of the following In each case label the axes so that the amplitude and period are easy to read 13 y 4 sin 2x 15 y 2 cos 4x 17 y 3 sin x 19 y 1 2 cos 3x 1 TL 21 y sin x 2 14 y 2 sin 4x 16 y 3 cos 2x 18 y 2 sin x y sin sin 3x 20 y TL 22 y 2 sin x

Graph each of the following over the given interval Label the axes so that the amplitude and period are easy to read 23 y 2 sin x 4 x 4 25 y 3 sin 2x x 2 24 y 3 os x 2 x 4 26 y 3 sin 2x 2n x 2

According to the table below what is the probability random will be 16 or older Age 13 14 15 16 17 18 Probability 0 01 0 28 0 30 0 25 0 15 0 01 A 0 41 OB 0 44 OC 0 46 D 0 83

The circle is centered on point P Points T U and V lie on the circumference LTVU measures 37 Find the measure of TPU T 37 P

What is C O A 66 OB 55 OC 36 D 45

In a randomly generated list of numbers from 0 to 4 the chance that each number can occur is O A True B False

Use the graphs you found in Problem 1 through 6 to find all values of x between 0 and 27 for which each of the following is true 8 sin x 1 2 7 cos x 11 12 9 csc x 1 11 cos x 13 tan x 1 10 sec x 1 12 cot x 1 14 sin x V3

Although we have worked a number of the problems below in the section previous to this working them again yourself will help you become more familiar with the graphs of the six basic trigonometric functions In each case make a table of values for each function using multiples of for x Then use the entries in the table to sketch the graph of each function for x between 0 and 27 1 y cos x 2 y cotx 3 y csc x 4 y sin x

trapezoid B Note Figures not drawn to scale Trapezoid A and trapezoid B shown are similar The length of each side of trapezoid A is 8 times the length of the corresponding side of trapezoid B The area of trapezoid A is how many times as large as the area of trapezoid B A 8 B 16 C 32 D 64 Lviy 8 8

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

pi 4 Opi 6 OP 17 OR Express the exact length of each chord below RQ 17 BO 17 2 2 S 17 2 4 R L

47 Find the shaded area 3 in 120 8 in