Find the difference between the two times
= 4 2/5 - 2 1/4
convert each mixed number to an improper fraction
= 22/5 - 9/4
change to common denominator (20)
= 88/20 - 45/20
subtract numerators only
= 43/20
change back to mixed number
= 2 3/20
ANSWER: It took 2 3/20 hours longer to clean the bathroom.
Hope this helps! :)
The 63 is the err in her explanation here.
Answer:
0.11069
Step-by-step explanation:
We will assume that the trains pass by his house following a uniform distribution with values between 0 and 24. The probability of a train passing on a 9-hour time period is 9/24 = 3/8 = 0.375. Lets call Y the amount of trains passing by his house during that 9-hour period. Y follows a Binomail distribution with parameters 22 and 0.375.
P(Y ≤ 5) = P(Y = 0) + P(Y=1) + P(Y=2) + P(Y=3) + P(Y=4) + P(Y=5) =

I hope that works for you!
Answer:
Assuming the 2 at the ends are the exponents,
the answer is -x^2-5x+6 (x^2+5x-6)
from here, it cannot be simplified more
Explanation --
Just add everything by putting the terms in parentheses and adding them.
Keep simplifying by putting the like terms together and adding/subtracting them.
At the end, you come up with -x^2-5x+6, so multiply -1 on the whole thing (by putting parentheses on its sides. This makes x positive. But they are the same thing, but this step is just for simplifying the end product a little more.
Hope this helps!! Have a nice day!