The dimensions of a standard tennis court are 36ft * 78ft with a net that 3 ft high the center. The court modified for players aged 10 and under such that the dimensions are 27ft * 60ft , and the same net is used Use similarity to determine If the modified court similar to the standard court. Try to dilate the modified court to make it the same size as the standard court. The dilation factor for the width is ___. The dilation factor for the length is ___. Based on similarity, the modified court ___ similar to the standard court.

How many times larger is 6 × 10^12 than 2 × 10^7? a. 30,000 b. 3,000 c. 3,000,000 d. 300,000

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above

Order 1100000, 314000, 965000, 1890000, from least to greatest.