X^2-y^2=55
this means that
(x+y)(x-y)=55
we know that x-y=11 so we can write
(x+y)(11)=55
x+y=55/11 we divide by 11 and we obtain
x+y=5
x-y=11 this means
x=y+11 we replace in the other equation (x+y=5)
y+11+y=5
2y=5-11
2y=-6
y=-3
and you find out that also
x=8
Out of 80 rolls, the number three has come up 6+6+5+7=24 times. As a result, we can estimate the probability as 24/80=3/10, or 30%. The probability of rolling a three on a standard die is 16.7%, so the difference is 30%-16.7%=13.3%, or approximately 13%.
Answer by YourHope:
Hi! :)
The graph shows f(x) = [1/2]^x and its translation, g(x). Which describes the translation of f(x) to g(x)?
Translation of four units up! The f(x) function cannot possibly be f(x)=1/2, though, because that would be a horizontal line through y = 1/2 and that function is clearly not a horizontal line. So whatever f(x) is really, add 4 to the tail end of it to show its translation!
:)
Answer:
Step-by-step explanation:
