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Which of the following shaded regions represents the set of all points $$(a, b)$$ in the xy-plane above such that $$(a+1, b+1)$$ is in quadrant Ⅰ? (Note that a point lies on axis is not in any quadrant)
In the xy-plane, the point (t, 5t-5) lies on the line with equation y=$$\frac{1}{2}$$ x-$$\frac{2}{3}$$ . What is the value of t?

Give your answer as a fraction.
Of the following, which graph best represents a shaded region in which every point $$(x, y)$$ satisfies the inequality $$y ≤ |x|$$?


The three squares share a common vertex, as shown.

Quantity A

a+b

Quantity B

90°


Quantity A

x+y

Quantity B

90
If the degree measures of the three angles of a triangle are consecutive even integers, what is the measure of the smallest angle of the triangle?

_____degrees


Quadrilateral ABCE is a square, and triangle CDE is equilateral. If the perimeter of pentagon ABCDE is 30, what is the area of pentagon ABCDE?


In the trapezoid, line segment AB is parallel to GH and JI. If the overall altitude of the trapezoid is 20cm, and the distance between line segment AB and GH is x cm, then which of the following would be an expression, in terms of x, the length of line segment AB?


What is the area of the shaded area as shown above?


In the figure above the circle has center O, and AB and AD are tangent to the circle. If the degree measures of angles ABC and ADC are 20 and 40, respectively, what is the value of x+y?
A group of 10 couples plans to rent bayside summer houses on Island X from Realtor M for a certain week. The total rental cost for the houses will be evenly distributed among the 10 couples, and each couple will have their own bedroom. If Realtor M has at least three bayside summer houses of each type available that week, what is the least possible rental cost per couple?
Five different families received tax bills at the beginning of the year. Later, the four lowest tax bills were each reduced by $200 while the highest tax bill remained the same.

Quantity A

The standard deviation of the original five tax bills

Quantity B

The standard deviation of the resulting five tax bills after the four lowest tax bills were reduced


The random variable X has the standard normal distribution with a mean of 0 and a standard deviation of 1, as shown. Probabilities, rounded to the nearest 0.01, are indicated for the six intervals shown. The random variable Y has a normal distribution with a mean of 2 and a standard deviation of 1. Using the probabilities shown, approximately how much greater is the probability that the value of Y is between 1 and 2 than the probability that the value of X is between 1 and 2?


If 30 percent of the people surveyed use both of the methods "exercise near home or work" and "exercise outdoors", what percent of people surveyed use at least one of the two methods?
The sum of the first n positive integers can be found using the formula $$\frac{n(n+1)}{2}$$.

The sum of the first n positive odd integers can be found using the formula $$(\frac{s}{2})^2$$, where s is the sum of the first and last odd integer.

If x is equal to the sum of the integers from 1 to 100, and if y is equal to $$\frac{1}{2}$$ of the sum of the odd integers from 1 to 199, what is the value of x-y?
Fred`s suitcase contains 4 shirts, 3 pair of pants, and 2 pair of shoes. A matching outfit consists of any shirts, any pair of pants, and any pair of shoes, except that one of the shirts does not match one of the pairs of pants. How many matching outfits can be selected from Fred`s suitcase?
Three numbers are to be selected at random and without replacement from the five numbers 4, 5, 7, 8 and 11. What is the probability that the three numbers selected could be the lengths of the sides of a triangle?
The possibility of Event A occurs is 0.75, while the possibility of Event B occurs is 0.56. What is the maximum possibility that both events will occur?
On stage, jazz artist James Carter often veers dangerously close to the ___________ : he becomes a man possessed, his tenor saxophone wailing and whimpering with a musicality so muscular it threatens to consume him.
The _____________ of Craig`s government had left the nation almost totally unprepared for war when it came.

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