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Ready4
Price Range (in dollars) Number of Items
less than 5 4
5-14 27
15-24 39
25-34 13
35-44 47
45-54 28
55 and higher 9

The table above gives information about the current price ranges, in dollars, of 167 items in store . If represents the median price, in dollars, of all the items in store , which of the following must be true?

Ready4

The shaded portion of the rectangle shown above represents a section that will be cut from a piece of paper. If the area to be cut is square inches and , then equals

Village SitesAn archaeological team has been excavating three ancient village sites—Barras, Agna, and Cussaia—looking in particular at kitchen waste dumps as a way to understand the villages' dietary patterns and trading relationships. What follows are brief summaries of their findings.Barras: The best data come from stratified finds in this oceanside village, which was inhabited from AD 600 to 1300 and was the only one of the three villages to produce seafood, its main dietary item. Though Barras residents hunted on land and raised crops, this provided relatively small amounts of food. As Barras's overall prosperity rose, there was more food available per person, and its population increased from an average of 100 residents in the AD 600s to 400 residents in the AD 1000s to 600 residents in the AD 1200s.Agna: Agna was established in an inland forest around AD 800 and its residents mainly hunted but also ate considerable amounts of fruit, nuts, and other forest-vegetable products. They also traded meat to Barras for other goods. With no open fields, Agna grew no grain.Cussaia: Predating Barras, Cussaia depended heavily on raising grain crops and eventually obtained seafood and meat via trade. It traded directly only with Barras, because a mountain range separated it from Agna, though some products may have been traded between Agna and Cussaia via Barras.Additionally, there is no evidence that any other village traded with Barras, Agna, or Cussaia prior to AD 1300.Food VarietyBarras: Percentages, by Estimated Weight, of Dietary Items Consumed per Person per MonthGMAT、gmat题库、gmat模考、gmat考满分Food ConsumptionBarras, Agna: Estimated Average Monthly Meat and Seafood Consumption (lb per 4-Person Family)GMAT、gmat题库、gmat模考、gmat考满分
FinancesSeven spring break destinations are offered for spring break tourists from Partee University. For each destination, the table lists the plane ticket price, the discounted plane ticket price (if any), the spring break operator, the rate for a waterfront beach house in the block area, and the lowest rate for a waterfront beach house. Spring break traveler groups will require 4 nights of lodging and all beach house rates are per night and per group. All plane ticket prices are also per group of up to six passengers. Each group has no more than six people as there are 6 beds in each beach house. The lowest rate for an available beach house outside of the waterfront is $70.GMAT、gmat题库、gmat模考、gmat考满分Article The waterfront beach houses are organized in 3 rows. The spring break company has set aside a block of beach houses (the first row along the waterfront) for its clients; the availability is at a higher-than-normal rate for the waterfront beach houses.While most spring breakers prefer to stay in beach houses in the waterfront area, they often follow an alternate strategy to avoid the extra cost of reserving a house. Some attendees reserve houses outside the waterfront area - ROWFA strategy. Others reserve beach houses outside the block - ROB strategy - and get a row 2 or row 3 waterfront beach house instead.Spring break operators have succeeded in curbing the frequency of these alternatives by increasing the plane ticket by a fixed amount and then offering an equivalent planet ticket price discount to spring breakers who book rooms in the front waterfront block. A study has shown that if this plane ticket discount is equal to at least half the potential savings of a spring breaker's particular cost-saving strategy, the spring breaker is much more likely to reserve a beach house within the first row of the waterfront block.
Ready4

In the chart shown, which of the following is closest to the median monthly number of customers acquired by Company X?

Ready4

Many people believe that such activities as owning a pet, taking care of another's pet, or babysitting an infant not only confer the capacity of friendship on a child but also develop role-taking skills, since that child must put him- or herself in the pet or infant's situation and imagine how that pet or infant feels.

Ready4

A team of British researchers, having spent three seasons investigating and mapping a region in West Antarctica, has discovered a massive ancient subglacial trough deeper than the Grand Canyon.

Ready4

The crucial difference between the capabilities of a consistent market winner with those of other companies may be not in any knowledge area but in the ability to develop new areas of expertise as the market evolves.

Ready4

With broad, flat bodies and small heads, the cockroach's durability is to the insect world what the honey badger is to the mustelids.

Ready4

According to the chart shown, which of the following is closest to the median sale price of homes in Pemberley neighborhood this past year?

Ready4

Each of the letters in the table above represents one of the numbers 3, 5, or 11, and each of these numbers occurs no more than once within any row or column, with the exception of 5, which may occur up to two times. What is the value of d2?

  1. a1c2=121
  2. c1d1a2e=375
Ready4

     Physical theory implies that the existence of astronomical entities above a certain mass is evidence for the existence of black holes. The Earth does not itself collapse upon itself under gravitational force because gravity is countered by the outward pressure generated by the electromagnetic repulsion between the atoms making up the planet. But if these forces are overpowered, gravity will always lead to the formation of a black hole. Assuming the validity of general relativity, we can calculate the upper bound for a star, the Tolman-Oppenheimer-Volkoff limit, to be 3.6 solar masses; any object heavier than this will be unable to resist collapse under its own mass and must be a black hole.     The search for entities more massive than the Tolman-Oppenheimer-Volkoff limit brings us to the examination of X-ray binary systems. In an X-ray binary, two bodies rotate around their center of mass, a point between them, while one component, usually a normal star, sheds matter to the other more massive component known as the accretor. The shedding matter is released as observable X-ray radiation. Since binary stars rotate around a common center of gravity, the mass of the accetor can be calculated from the orbit of the visible one. By 2004, about forty X-ray binaries that contained candidates for black holes had been discovered. The accretors in these binary systems did not appear visible, as is to be expected of black holes, but that fact alone does not distinguish them from very dense and hence less luminescent stars, such as neutron stars. More to the point is that these accretors were of mass far in excess of 3.6 solar masses. Famously, Cygnus X-1, an X-ray binary in the constellation Cygnus, has an accretor whose mass has been calculated to be 14 solar masses, plus or minus 4 solar masses. While it does not rule out other phenomena without further interpretation, it provides strong proof that black holes exist.     The conclusion that black holes exist depends on the reliability of the general-relativistic calculations involved. If more generous assumptions are made, the Tolman-Oppenheimer-Volkoff limit can be calculated to be as high as 10 solar masses. The finding also establishes plausibility, if not direct evidence, for the existence of supermassive black holes hypothesized to exist at the center of some galaxies.  

TechniquesIsland Museum analyzes historical artifacts using one or more techniques described below—all but one of which is performed by an outside laboratory—to obtain specific information about an object's creation. For each type of material listed, the museum uses only the technique described:Animal teeth or bones: The museum performs isotope ratio mass spectrometry (IRMS) in-house to determine the ratios of chemical elements present, yielding dues as to the animal's diet and the minerals in its water supply.Metallic ores or alloys: Inductively coupled plasma mass spectrometry (ICP-MS) is used to determine the ratios of traces of metallic isotopes present, which differ according to where the sample was obtained.Plant matter: While they are living, plants absorb carbon-14, which decays at a predictable rate after death; thus radiocarbon dating is used to estimate a plant's date of death.Fired-clay objects: Thermoluminescence (TL) dating is used to provide an estimate of the time since clay was fired to create the object.ArtifactsIsland Museum has acquired a collection of metal, fired clay, stone, bone, and wooden artifacts found on the Kaxna Islands, and presumed to be from the Kaxna Kingdom of 1250-850 BC. Researchers have mapped all the mines, quarries, and sources of clay on Kaxna and know that wooden artifacts of that time were generally created within 2 years after tree harvest. There is, however, considerable uncertainty as to whether these artifacts were actually created on Kaxna.In analyzing these artifacts, the museum assumes that radiocarbon dating is accurate to approximately ±200 years and TL dating is accurate to approximately ±100 years.BudgetFor outside laboratory tests, the museum's first-year budget for the Kaxna collection allows unlimited IRMS testing, and a total of S7,000— equal to the cost of 4 TL tests plus 15 radiocarbon tests, or the cost of 40 ICP-MS tests—for all other tests. For each technique applied by an outside lab, the museum is charged a fixed price per artifact.
TechniquesSunnySpa is starting up a medical spa, offering dermatological and cosmetic services for its clients. SunnySpa is trying to figure out whether it can turn a profit depending on what combination of clients it get in its first month.SunnySpa's offerings include:Isolaz: once per month for 4-6 sessions, this red laser zaps the oil-producing sebaceous glands using a suction-clamp process which more effectively treats the targeted area.Fraxel: once per month for 2-6 sessions, a more intense procedure that uses a laser to treat acne scars by stimulating collagen production deep below the skin.Microdermabrasion: once per month treatment that physically exfoliates the skin using a very small mechanical brush, cutting away dead skin cells on the surface to allow new skin cells to emergeAcne-creams: daily use, the most common creams include 2-5% benzoyl peroxide that attack facial bacteria and retinol lotions that help rejuvenate a new layer of skinBudgetThe medical spa's first month rent is a total of $10K - the equivalent cost of 16 Isolaz treatments plus 2 Fraxel treatment packages, or the cost of 100 Microdermabrasion treatments. For each treatment, the spa charges a fixed price.To promote its business for the first month, the spa is offering 1 free month's supply of Benzoyl Peroxide and Retinol Lotions to its patients.PatientDuring her adolescence, Pam began developing chronic acne. At first, she would wash her face everyday - some of her classmates suggested she had acne because her face was not clean. She did notice her face got very oily once adolescence began. So she started washing her face 3 times a day with a cleanser.Yet, her acne persisted. Washing more times in a day wouldn't help. Pam was desperate for help, reaching out to her dermatologist who recommended various creams. Some of them helped but she was still getting a lot of acne - worse, some of the older acne was creating hyperpigmented dark spots on her face and leaving acne marks and scars.Chronic acne was the root cause of her problems and she needed some treatment options.
The fall of the Berlin Wall represented a political victory of the free market against a centrally planned economy. Though highly interventionist and dependent on international defense and industrial subsidy, West Germany was a model of economic expansion in the post-war era. East Germany, while relatively successful in comparison with other Eastern Bloc nations, was far behind West Germany with regard to the buying power of its people. It was hard to avoid obvious comparisons such as the fact that 1 in 4 East Germans did not even have an indoor toilet. Western German authorities were therefore committed to rapid integration of the two Germanys without resorting to massive controls on internal migration, external capital controls, or continuation of a large state-owned industrial sector. Other nations were already wary of a united Germany. France, a perpetual competitor, saw Germany’s size advantage increase overnight. In Gross Domestic Product ("GDP") alone, an historical size advantage of 23% jumped to nearly 30%, with stronger growth promised when East Germany was fully integrated. Within Germany, there should have been no doubt that integration would be costly. The question was whether the government was up to the task. In Italy, for example, the central government has invested tremendous resources in promoting the economy of its under-performing Southern region. In contrast, in the United States, the local population bears the burden of varying economic performance. For example, the American South is allowed to exist with much higher rates of poverty and lower education than the rest of the nation. Rather than allow East Germany to fall into total disrepair, with millions fleeing to the West and a long-term negative impact on national GDP growth, West German authorities decided to try to spend their way out of the crisis, creating almost overnight an infrastructure in East Germany to provide a standard of living comparable to that in West Germany. The goal was to take an under-performing country and raise it to “first world” standards in only a few years. This goal would have been preposterous had not West Germany possessed the resources to accomplish the task.
Ready4

Which of the following equations represents the line shown in the figure above?

Ready4

What is the volume of the cube above?

(1) The surface area of the cube is 1014 square centimeters.

(2) The length of diagonal is centimeters.

Ready4

A circular barrel has a band painted around its circumference, as shown above. What is the surface area of the painted band?

(1)

(2) The radius of the barrel is 1 foot.

Ready4

In the figure above, the circumference of circle Q is 4. If the measure of \angle QAB is 50^\circ, what is the length of arc AB?

Ready4

What is the value of in the figure above?

(1)

(2)

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