The 10 decimal digits, 0,1, 2, 3, 4, 5, 6, 7, 8, 9 are arranged in a uniformly random per- mutation. We denote by x the integer formed in base 10 by the first three positions in this permutation, by y the integer formed in base 10 by the next four positions in this permutation, and by z the integer formed in base 10 by the last three positions in this permutation, (either x or y or z may begin with 0 which is then ignored). For example, if the random permutation is 8620175394 then a = 862, b = 175, and c = 394. Consider the probability space whose outcomes are these random permutations and a random variable X defined on this probability space such X = 1 when the product xyz is even and X = 0 when that product is odd. Calculate E[X].

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

here's a poem i finished a while ago. i hope you like it and that it inspires you.

what is the rest of the question? ?