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\"'hich would best be studied using an experiment but "0! an observational study? 0 A researcher wants to determine the effect of a new allergy medication by randomly dividing study participants into two groups, with only one group receiving the new allergyr medication. 0 A researcher wants to determine the bestselling genre of audiobook. O A researcher wants to determine the average amount an individual spends on gas each week. 0 A researcher wants to determine if there is a correiation between the amount of precipitation and plant growth by measuring the rainfall and plant growth for a month. Consider the functions. f(x) = 3(7) 3 g(x) = 21x3 0 3 0 21 21 2 147 168 Which statement is true? When > > 10, the value of f (x) will always be equal to the value of g (x). O When > > 10, the value of f (@) will always be greater than the value of g (x). O When > > 10, the value of f (@) will never be greater than the value of g (x). O When > > 10, the value of f (x) will sometimes be less than the value of g (x).A librarian randomly surveys 140 students in a school to determine if students at the school are satisfied with the current opening hours of the library. The survey result reveals that 60% of the students are satisfied. The librarian then runs a simulation and analyzes the results that arise from multiple simulated samples of 140 students. The table shows the result of the simulation. Proportion of Students Satisfied Frequency (sample proportion) 0.48 0.50 0.53 9 0.54 8 0.55 7 0.57 14 0.58 15 0.59 13 0.60 19 0.62 24 0.64 17 0.65 14 0.66 15 0.67 6 0.69 7 0.70 3 0.74 1 Which is the best interpretation that the librarian can make based on the simulation result? O Exactly 60% of the students at the school are satisfied with the current opening hours of the library. O Exactly 62% of the students at the school are satisfied with the current opening hours of the library. O Approximately 48% to 74% of the students at the school are satisfied with the current opening hours of the library. O Approximately 60% to 74% of the students at the school are satisfied with the current opening hours of the library.A fourthdegree polynomial function, f (a), has a zero at m = 9 with multiplicity 2, and the equation 1' (2} = i] has a: = 1 + 21' as a solution. \"Which statement is true? 0 The function must have 1 additional imaginary zero only. 0 The function must have 1 additional real zero only. 0 The function must have 1 additional real zero and 1 additional imaginary zero. 0 The function must have 2 additional real zeros. A student decides to save money and compares two methods. Put away $200 now, and add $50 to the amount each month, t. Use $200 to start a savings account earning 1.1% interest per month, t. Which system of equations can be used to determine when the total amount, 3], in dollars, will be equal for both methods? 0 y = 50 [t + 200) y: 200(0011)' 0 y = so: + 200 39': 200(0011)' 0 y = 50 [t + 200) 19': 200(1011)' 0 y = 50: + 200 y: 200(1011)' A landscaper needs to prepare 5 identical conical-shaped hanging planters by filling three-quarters of each planter with soil. If the diameter of each planter is 14 inches and the height is 28 inches, approximately how much soil is required for all the planters? O 5, 388 cubic inches O 7, 180 cubic inches 16, 155 cubic inches O 21, 540 cubic inchesThe value of a stock increases by 16% each year, on average. If the equation 2, 000(1.16) = 6, 000 can be used to find the amount of time, in years, it takes for a $2, 000 investment account to triple, what is the approximate value of x? O z = 13.5 O 1 = 7.4 O 1 = 1.6 O I = 0.3An analyst at an online shopping site gathers data on the amounts customers spend and the modes of payment. The table shows the data. Cash on Delivery 440 60 Online 400 200 The analyst concludes that a greater percentage of customers who spend $200 or more pay unline. Which statement about the analyst's conclusion is correct? 0 The conclusion is invalid as a greater percentage of customers who spend $200 or more pay cash at the time of delivery. 0 The conclusion is invalid as exactly 50% of the customers who spend $200 or more pay online. 0 The conclusion is misleading as the analyst should have compared only the frequencies. 0 The conclusion is valid as about 77% of the customers who spend $200 or more pay online. A school counselor conducts a survey to find the average number of songs students at a school download each week. The counselor considers two sampling methods. . Sampling Method 1: Randomly select 60 students from the school band. . Sampling Method 2: Randomly select every 6" student entering the school. Which statement is true? O The counselor should use Sampling Method 1 because the method produces a biased, non-representative sample of the students in the school. The counselor should use Sampling Method 1 because the method produces an unbiased, representative sample of the students in the school. O The counselor should use Sampling Method 2 because the method produces a biased, non-representative sample of the students in the school. O The counselor should use Sampling Method 2 because the method produces an unbiased, representative sample of the students in the school.Two students hold opposite ends of a stretchy spring toy and stand 10 feet apart. From the starting position, one student shakes an end of the stretchy spring toy so that it creates a wave that is 7 feet from the ground at its highest point and 1 foot from the ground at its lowest point. The wave has a midline 4 feet above the ground. If the period of the wave is 10 feet, which function, h(x), could represent the height of the stretchy spring toy a feet from one of the students? O h(z) = 3 . sin (x) +4 O h(z) = 3. sin (x) +4 O h(z) = 4. sin (x) +3 O h(z) = 4. sin x) +3Consider the graph ofy = coo{:|:). III III- III III- ll'll x M In "' 'Which statement is true? 0 The equation y = cos(z) is a function because for each zvalue, there is exactly one yvalue. O The equation y = cos(::) is a function because for some zvalues, there is more than one yvalue. O The equation 3; = cos{::} is not a function because for each zvalue, there is exactly one yvalue. O The equation y = cos(::) is not a function because for some svalues, there is more than one yvalue. For a certain polynomial function, f (6) = -2, and f (x) is evenly divisible by (x + 6). Which two statements must be true? O The expressions (x - 6) and (x + 6) are factors of f (I). O The remainder when dividing f (x) by (x - 6) is -2. O The remainder when dividing f (x) by (x + 6) is -2. O The value x = -6 is a zero of f (x). O The value x = 6 is a zero of f (I).Consider parallelogram QRST, where ZT is a right angle. Qr R The table shows the steps to prove that parallelogram QRST is a rectangle. Step Statement Justification 1 Figure QRST is a parallelogram. Given 2 ZT is a right angle. Given 3 LT ~ ZR Opposite angles of a parallelogram are congruent. 4 m/T = mZR = 90 Definition of right angle 5 ? The sum of the interior angles in a quadrilateral is 360". 6 90 + 90 + mZQ + mZS = 360 Substitution Property of Equality 7 m/Q + mZS = 180 Subtraction Property of Equality 8 LQ ~ LS Opposite angles of a parallelogram are congruent. 9 m/Q + m/Q = 180 Substitution Property of Equality 10 2 . m/Q = 180 Combine like terms 11 m/Q = 90 Division Property of Equality 12 m/Q = m/S =90 Substitution Property of Equality 13 Parallelogram QRST is a rectangle. Definition of a rectangle Which statement will correctly complete the proof? O m/T + m/R=m/Q +m/S O m/T+m/R+m/Q =m/S O m/T + m/R= 360" + m/Q -m/S O m/T +m/R+ m/Q+ m/S = 360"A population of bacteria is decaying. The number of bacteria after h hours is given by the expression 350(1 - 0.3)". Which statements are true? Select ALL that apply. O Each hour, the population decreases by 3%. O Each hour, the population increases by 3 bacteria. O The hourly decay rate for the population is 0.3%. O The hourly decay rate for the population is 30%. O The initial population of bacteria is 350.A truck driver calculates the average rate of travel, R, required to reach a destination 400 miles away in t hours. The truck driver wants to calculate the average rate of travel required in order to arrive 30 minutes earlier. Which equation represents the new rate of travel, in miles per hour? O R= - 400 1_ 30 OR=- 400 t 0.5 O R= - 400 t+0.5 400 OR= 7430A movie disc comes packaged in a thin box with the label of the movie added on the outside, covering the entire top side of the box. Which statement is true? 0 Both the box in which the movie disc is packaged and the label on the outside are best represented by rectangles. 0 Both the box in which the movie disc is packaged and the label on the outside are best represented by rectangular prisms. O The box in which the movie disc is packaged is best represented bya rectangle, while the label on the outside is best represented bya rectangular prism. O The box in which the movie disc is packaged is best represented bya rectangular prism.while the label on the outside is best represented by a rectangle. For this item, complete the choice matrix by clicking the appropriate answer in each row. The graph of the polynomial shows the width of a vase, y, in inches, with respect to the distance from the base of the vase, x, in inches. 10 8 6 Width (in inches) 4 2 4 8 12 16 20 Distance from the Base (in inches) Determine whether each statement is true or false. True False The width of the vase is decreasing for 0

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