Check your conceptual understanding of the big-o, big-2 and big-o relations and the triangle inequality. question 1 3 pts check all statements that are true o f(x) x is o(x2) o if p is a polynomial of degree n, and q is a polynomial of degree m, and n-m, then p is of order q o there is a "largest order", i. e. there is some function g so that all other functions f are o(g) o the triangle inequality is the most common algebraic tool for rigorously proving order relationships o if two functions are of order g, then so is their sum o if two functions are o(g), then so is their sum. o if p is a polynomial of degree n, and q is a polynomial of degree m, and nb o if f and g are functions defined for all positive real numbers and if f(r) g(e) where c is a positive constant, then f is of order g o f(x) sin(x) is big-o of 1 o f(x)-5x is of order 3x. o all power functions f(x)=x", where n is a real constant, are 0(e) o the triangle inequality says that for all real numbers a and b, la + bl s lal ibl

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true