At Thomas Jefferson High School students are heavily involved in extra-curricular activities. Suppose that a student is to be selected at random from this school. Let the events A, M, and S be defined as follows, with the probabilities listed: A = student is active in the performing arts: P(A) = 0.20
M = student is active in vocal or instrumental music: P(M) = 0.32
S = student is active in sports: P(S) = 0.35 P(A intersection M) = 0.18; P(A intersection S) = 0.07; P(M | S) = 0.30
Calculate each of the following (show your work):
a. P(A|M)
b. P(A union M)
c. P(M intersection S)

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

Write the equations in logarithmic form 10^3=1,000

What is the area of parallelogram rstu? 21 square units 24 square units 28 square units 32 square units