A composition is operation between function that consist in replacing the independent variable of the first function, $f(x)$ in this case, for $g(x)$ . Common notations for composition between functions are $f(g(x))$ and $f\circ g (x)$ . If we know that $h(x) = f\circ g (x) = (x+2)^{2}$ and $f(x) = x^{2}$ , then $g(x) = x+2$ .

In a nutshell, $g(x) = x+2$ .

4 0

3 years ago

If p(a|b) = 0.35, p(b) = 0.75 and p(a) = 0.44 are the events a and b independent ?

MatroZZZ [7]

Hello :
note 1 :
p(A|B) = p(A∩B)/ p(B)

note 2 :
 A and B independent: p(A∩B) = p(A)×p(B)
calculate : p(A∩B)
p(A∩B) = p(A|B)×p(B)
p(A∩B) = 0.35 ×0.75 = 0.2625
but : p(A)×p(B) = 0.44×0.75 = 0.33
conclusion :
the events A and B are not independent ?

6 0

2 years ago

Are the following triangles similar? Justify your answer.

alukav5142 [94]

Yes. The triangles are both right triangles, which means they both have a single right angle.

3 0

3 years ago

If the whole numbers are added the sum would be 113.5+22.41

Arte-miy333 [17]

113.5+22.41 = 135.91 if that’s what’s your asking :)

4 0

3 years ago