Otbor Lever: Math

If t>1, then how much more is t^2 how than t?

If j, k and n are three consecutive numbers so that 0 < j < k < n and magnitude of j*n is 9, what is the units digit of k?

j=x^2 –0,49
k = (x – 0,49)^2
m=x^3 –0,49

3. If х is negative, what is the ascending order of j, k, and m?

For how many positive integers w there is a solution for w(x)y=4?

According to the drawing above, if line L has the slope of -2, what is the y- coordinate of the point of intersection of the line L and the y axis?

The drawing above represents four offices, in which 4 employees are randomly distributed such that 1 employee occupies one office. If Karen and TIna are two out of four employees, what is the probability that each of them will
be assigned to the office marked as X?

In a certain game each person was throwing the ball to the target until he or she would miss the target. The table above is showing the results of 25 people that were playing the game. For example, four people made the targed 3 times and missed it on the 4th try. Baesd on the information in the table, which statement must be true?

I. More than half of people made the target on the first try.
II. Among all the attempts, there are more hits than misses.
III. No one hit the target five times.

The drawing above is showing three squares with sides equal to 5,7, and x. If A, B, and C are all dot on the line L, what is x?

(Обратите внимание, что дробные числа в американской нотации пишутся через точку, а не запятую. Например, дробь 1/2 пишется как 0.5, а не 0,5)

Which of the following statements must be true?

I. Any committee with more than 7 teachers takes less time than any committee with less than 7 teachers.
II. There is a negative correlation between the number of teachers on the committee and the time that the committee takes to write the study plan. III. On average, for each additional teacher, the time that the committee takes to work, decreases by 5 hours.

What is the arithmetic mean of hours that are worked by each of the teachers from the committees A, B, and C?

Average age of 21 students is 16,2 years. When a new student was accepted to the class, the average age of the class increased to 16,27 years. How old is the new student?

The line is represented by equations х = 4t +1 and y = –3 + 2t, where t is the parameter. What is the coordinate of the y-intersection of the line?

Which one of the following expressions equals (15 − 8i)^1/2 ?

If f is the function that is graphed by the segment, shown on the graph above, then f ^-1(6,2) =

Committee of four people is selected from the group that consists of 8 women and 4 men. If the selection is random, what is the probability that it will consist of 2 women and 2 men?

If the equation х^2 +2(k+2)х+9k=0 has the same roots, then k =

If [х] is defined as the largest integer that is less than or equal to x, and
f(x)=|x-[x]-1/2| ,then the graph is interrupted at:

The cube is inscribed into a large sphere, and the smaller sphere is inscribed into the cube. What is the relationship between the volume of the smaller sphere to the volume of the larger sphere?

Mary, John, and Frank went on a vacation. Mary drove the car for the first hour with the average speed of 50 miles per hour. John drove the car for the next 2 hours with the average speed of 48 miles per hour. Frank drove the car for the next 3 hours with the average speed of 52 miles per hour. They reached the destination after 6 full hours since their departure. Their average speed (in miles per hour) was:

If х, 3х + 3 and 5х + 5 are three subsequent terms of the geometric sequence, then their sum equals: