For all positive values of a , b , c , and d , when _ 1 2 a b + c = d , which of the following expressions is equal to b ? _ a ( d − c )
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On a trip, 2 sisters counted 1,430 vehicles. They divided the vehicles into categories: cars, trucks, and other. They noted the color of each as white, black, red, or other, as shown in the table. What is the probability that a randomly selected truck is black? White Black Red Other Total Car 118 62 97 197 474 Truck 100 31 116 232 479 Other 86 85 94 212 477 Total 304 178 307 641 1,430 _ 31
A regular hexagon is inscribed in a circle with diameter 18 inches, as shown. What is the perimeter, in inches, of the hexagon? 18 in
Tanya earns $34,000 in her 1 st year at a job. She is given a raise of the same dollar amount each year, resulting in her earning $38,080 in the 4 th year at the job. What is the total of Tanya’s earnings during her 4 years at the job?
In the standard (x,y) coordinate plane, how many points are both 5 coordinate units from the origin and also 2 coordinate units from the line y = 0 ?
In nABC , if the measure of ∠A is less than the measure of ∠B , and the measure of ∠B is less than the measure of ∠C , what is the correct ordering of the side lengths, from least to greatest?
Lajuan sells exactly 4 kinds of pies in his bakery: apple, pecan, coconut cream, and peach. Of the pies he _ 1 _ 1 sold on Thursday, were apple, were pecan, 24 4 2 were coconut cream, and 8 were peach. How many total pies did Lajuan sell on Thursday?
In a certain quadrilateral, 2 opposite angles each measure (3x + 5)° . The other 2 opposite angles each measure (x + 3) ° . What is the value of x ?
The first 4 terms of a sequence are shown in the table. The sequence is defined by a 1 = 2 and a n = a n − 1 + (n − 1) for n ≥ 2 . What is the sixth term, a 6 , of this sequence? a 1 a 2 a 3 a 4 2 3 7 16
On the real number line, how many integers are between _ 65 _ 75 − and ? 6 2
During a particular experiment, 2 events, A and B, can each occur. Events A and B are mutually exclusive during this experiment. Which of the following probabilities is 0 ?
The polynomial function defined by 3 2 p ( x ) = x + x − 8x − 12 has ( x − 3 ) as one of its linear factors. What are all and only the zeros of p ?
Jonathan rode his bike every day for 18 days. The table shows each of the distances he rode. The table also shows the number of days he rode each of those distances. Distance Number (in miles) of days 1 2 3 4 4 3 5 6 7 3 What is the median daily distance, in miles, that Jonathan rode his bike for the 18 days?
A tourism organization randomly selected 100 tourists finishing their summer visit to Spain. The organization asked them how many cities they had toured in the country. The table shows the results. Based on these data, for the population of tourists that visited Spain during the summer, what is the best estimate of the mean number of cities toured? Number of cities 1 2 3 Number of tourists 10 40 50
Given the equation √ x = y , where y is a real number, what must be true of x ? x is:
Given that 1 ≤ m ≤ 4 , 4 ≤ n ≤ 6 , and 8 ≤ p ≤ 10 , what is the greatest possible value for ( _ m ) _ 1 ? n ( p ) _ 3
Which of the following datasets has the largest standard deviation?
Michael has a cylindrical fish tank, shown, that has an inside diameter of 18 inches. When he put colored gravel in his fish tank, the water level of the tank rose 2 inches. What is the volume of the gravel in cubic inches? 18 in
The table gives values of f (x) , g (x) , and h (x) for all positive integers x ≤ 5 . Given h (f (g (a) ) ) = 1 where a is a positive integer less than or equal to 5 , what is the value of a ? x f (x) g ( x) h ( x) 1 2 4 3 2 1 5 1 3 4 2 5 4 5 3 4 5 3 1 2
Each time Coin C is tossed, it lands faceup or facedown. The probability of landing faceup is 3 times the probability of landing facedown. In a certain game, the player wins $1.00 when Coin C lands faceup and the player wins $2.00 when Coin C lands facedown. To the nearest cent, what is the expected value of each toss of Coin C in this game?
Which of the following diagrams best shows the location of the basal cavity as described by Student 3?
Which of the following was a dependent variable in Experiment 1?
The relationship between E and the frequency of light is given by the equation: E = hf where h is Planck’s constant and f is the frequency of light. Based on the data for green light in Table 1, which of the following expressions could be used to determine the value of h? ____________ 5.6 × 10 Hz
The writer wants to add the following sentence to the preceding paragraph: Located 1,300 light-years from Earth, the nebula is a massive cloud of gas and dust. This sentence would most logically be placed at:
At a college track meet, there are 3 jumping events: high jump, long jump, and triple jump. The Venn diagram below shows the distribution of the number of athletes competing in each jumping event. How many athletes are competing in both high jump and triple jump but not long jump? high jump long jump 5 9 7 3 6 triple jump