A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants, p people chose the first picture in the set. If more than 20 % of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p ?
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In the x y-plane, the graph of the function f(x)=x^2+5 x+4 has two x-intercepts. What is the distance between the x-intercepts?
-3 x+y=6 a x+2 y=4 In the system of equations above, a is a constant. For which of the following values of a does the system have no solution?
Which conclusion is best supported by the findings of Olausson's 1993 experiment?
The passage indicates that compared with other functions of coloration in plants, camouflage in plants has
Line m in the x y-plane contains the points (2,4) and (0,1). Which of the following is an equation of line m ?
A book was on sale for 40 % off its original price. If the sale price of the book was $18.00, what was the original price of the book? (Assume there is no sales tax.)
laws") According to Smith, the US Constitution requires which action on the part of the Northern free states if slaves were to revolt?
It can be inferred that the authors of Passage 1 believe that running a household and raising children
Throughout the passage, the narrator is portrayed as someone who is
If the 180 food calories in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydrate, which of the following expresses f in terms of p and c ?
If 3/5 w=4/3, what is the value of w ?
Based on the passage, it is most reasonable to infer thatCelia knows the answer to which question about the narrator’s family before the narrator visits her apartment?
Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P=108-23 d, where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?
h=3 a+28.6A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy's age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy's height each year?
If 20-x=15, what is the value of 3 x ?
The main purpose of the passage is to
The sum of three numbers is 855 . One of the numbers, x, is 50 % more than the sum of the other two numbers. What is the value of x ?
In the passage, Smith most strongly suggests that slavery affects the United States by
If (a x+2)(b x+7)=15 x^2+c x+14 for all values of x, and a+b=8, what are the two possible values for c ?
What can reasonably be inferred about gliding animals from the passage?
y=x^2-aIn the equation above, a is a positive constant and the graph of the equation in the x y-plane is a parabola. Which of the following is an equivalent form of the equation?
Plant A is currently 20 centimeters tall, and Plant B is currently 12 centimeters tall. The ratio of the heights of Plant A to Plant B is equal to the ratio of the heights of Plant C to Plant D. If Plant C is 54 centimeters tall, what is the height of Plant D, in centimeters?
Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina's observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
h=-4.9 t^2+25 tThe equation above expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?