Answer:
Step-by-step explanation:
- Red = 3
- Yellow = 5
- Blue = 2
Possible options would be red or yellow as only two blue marbles.
<u>Probability of 3 red:</u>
<u>Probability of 3 yellow:</u>
<u>Probability of same three is:</u>
Answer:
Step-by-step explanation:
f(x) = y = 3x/(8 + x) (I am assuming that the 8 + x is the denominator. Please use parentheses in the future if you forgot this. If there are no parentheses, then my solution will not work for you.)
Exchange x and y; that is, replace x by y and y by x simultaneously:
x = 3y/(8 + y).
Then use algebra to solve for y in terms of x:
(8 + y)x = 3y (multiply both sides by the denominator to clear the fraction)
8x + xy = 3y (distribute)
xy − 3y = −8x (rearrange terms with all y's on the left side of the equation)
y(x − 3) = −8x (factor out y as a common factor)
y = −8x/(x − 3) (divide by x − 3)
Finally, replace y by f-1(x):
f-1(x) = −8x/(x − 3).
This is the inverse of f(x). It can be checked by finding f(f-1(x)) and f-1(f(x)), and verifying that both equal x after simplifying.
Answer:
U =35.5
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan theta = opp/ adj
tan U = 5/7
Take the inverse of each side
tan ^-1 tan U = tan ^-1 (5/7)
U = 35.53767779
Round to the nearest tenth
U =35.5
Answer:
1011011
Step-by-step explanation:
The binary multiplication is pretty much like the decimal one, we have just to remember that in the binary system 1+1 = 10.
First, convert 7 and 13 to binary
7 = 111
13 = 1101
now multiply with the same rules as in decimal
1101x
111
--------------
1101+
1101 +
1101
1111
-------------
1011011
The last row of digits are the carry bits.
So 7*13 = 1101*111(binary) = 1011011 (binary)
Since her annual return is 2220.00 as well as 11% of her investment in Apple, we can divide it by 11 and multiply that by 100 to get her investment in Apple, which would be 20181+81/99. Since she only invested in 2 things, her investment in her certificate of deposit is 30,000-(20181+81/99)=9818+18/99
