If ^nC_(r)+^nC_(r+1)=^n+1C_(x), then x=? （ ） A . r B . r-1 C . n D . r+1

The Fibonacci sequence can be used to convert approximately between miles and kilometres , as shown below. Extend the sequence then use it to approximate the number of kilometres in 89 miles. To work out the next number, add the two previous numbers.

A random sample of 32 textbook prices is taken from a local college bookstore . The mean of the sample is bar (x)=74.22 , and the sample standard deviation is s=23.44 Use a 95% confidence level and find the margin of error for the mean price of all textbooks in the bookstore.

Which conditional statement is represented by the Venn diagram below? A. If a shape has three vertices, then it is a triangle. B. If a shape is a triangle, then it does not have three vertices. C. If a shape is a triangle, then it has three vertices. D. If a shape does not have three vertices then it is a triangle.

If x=2 , then 3x+5=5x-11 TRUE ALSE

The grouped frequency table below gives information about the times, in minutes, that 80 office workers take to get to work. Time (t minutes) Frequency 0lt tleqslant 20 3 20lt tleqslant 40 32 40lt tleqslant 60 21 60lt tleqslant 80 17 80lt tleqslant 100 5 100lt tleqslant 120 2 Complete this cumulative frequency table. Time (t minutes) Cumulative frequency 0lt tleqslant 20 square 0lt tleqslant 40 square 0lt tleqslant 60 square 0lt tleqslant 80 square 0lt tleqslant 100 square 0lt tleqslant 120 square Total marks: 1

Listen If your gross monthly pay is 4,200 and you have fixed deductions of 500 500 and variable deductions of 15% of your gross pay, what is your net pay? 3,230 3,050 2,800 3,070

S5 A bag contains twenty counters ,numbered 1.2、 A counter is selected at random from the bag its number IS noted , and it is then returned to the ba (i)If this operation is carried out 100 times find, 2 significant figures , the probability that the num selected at least A times. (ii)If the operation is carried out 3 times find th probability that the largest number drawn is n . W 1leqslant nleqslant 20 . Find the expected value of n to 3 sig figures.

Read this excerpt from the Declaration of Independence. "We have warned them from time to time of attempts by their legislature to extend an unwarrantable jurisdiction over us. We have reminded them of the circumstances of our emigration and settlement here. We have appealed to their native justice and magnanimity, and we have conjured them by the ties of our common kindred to disavow these usurpations, which would inevitably interrupt our connections and correspondence. They too have been deaf to the voice of justice and of consanguinity. We must, therefore, acquiesce in the necessity, which denounces our Separation and hold them, as we hold the rest of mankind, Enemies in War, in Peace Friends." Which best describes the colonies'view of their relationship with the British government? The colonies have demanded fair treatment from the British government many times and they believe separating from Britain is their last resort. The colonies will continue to demand fair treatment from the British government until they receive what they are asking for. The colonies view the British as friends, and they do not want to rebel against the British government. The colonies are eager to go to war with the British as punishment for their unjust treatment of the colonies. Mark this and return Save and Exit Next Submit

Read the excerpt from Fast Food Nation. Instead of relying upon a small, stable, well-paid and well-trained workforce, the fast food industry seeks out part-time, unskilled workers who are willing to accept low pay. Teenagers have been the perfect candidates for these jobs, not only because they are less expensive to hire than adults, but also because their youthful inexperience makes them easier to control. In this excerpt, Schosser claims that fast food restaurants are taking advantage of people to save money. . helping society by hiring unskilled workers. providing valuable training for teenagers. using highly skilled workers in low-paying jobs.

In parallelogram FGHJ if mangle FGH=135^circ find mangle HJF