Choose the best answer. according to the u. s. census, the proportion of adults in a certain county who owned their own home was 0.71. an srs of 100 adults in a certain section of the county found that 65 owned their home. which one of the following represents the approximate probability of obtaining a sample of 100 adults in which fewer than 65 own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?
(a) (10065)(0.71)65(0.29)35
(b) (10065)(0.29)65(0.71)35
(c) p⎛⎝⎜z< 0.65−0.71(0.71)(0.29)100√⎞⎠⎟
(d) p⎛⎝⎜z< 0.65−0.71(0.65)(0.35)100√⎞⎠⎟
(e) p⎛⎝⎜z< 0.65−0.71(0.71)(0.29)100√⎞⎠⎟

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?

Which fraction is equal to 1hole and 2/5? a.3/5 b.75 c.57 d.73

M the table below represents a linear function f(x) and the equation represents a function g(x): x f(x)−1 −50 −11 3g(x)g(x) = 2x − 7part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)part b: which function has a greater y-intercept? justify your answer. (4 points)