Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the mean height of a sample of 15-year-old boys is 175 centimeters, with a standard deviation of 10. for a sample of 15-year-old girls, the mean is 165 centimeters with a standard deviation of 8. if 8 boys and 8 girls were sampled, the standard deviation of the difference is . (round your answer to the nearest hundredth.)

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

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