Answer:
Rational
Step-by-step explanation:
A rational number is any number that can be written as a ratio of integers. 11 and 12 are both integers, so 11/12 is rational.
Answer:
$30
Step-by-step explanation:
All you do is subtract the 5 dollars that he spent from the 35 dollars he already had and you get $30!
Answer:
0.50
Step-by-step explanation:
P(A|B)=P(A and B)/P(B) is the formula to find a conditional probability when A and B are not independent.
A and B are independent. This means B has no effect of A. This means P(A|B)=P(A).
P(A|B)=P(A) since A and B are independent
P(A|B)=0.50
Step-by-step explanation:
P(t) = 12,000 (2)^(-t/15)
9,000 = 12,000 (2)^(-t/15)
0.75 = 2^(-t/15)
ln(0.75) = ln(2^(-t/15))
ln(0.75) = (-t/15) ln(2)
-15 ln(0.75) / ln(2) = t
t = 6.23
Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.
