Answer:
Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.
There are three possibilities we need to consider:
Being stopped at both lights
Being stopped at neither light
Being stopped at exactly one light
The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.
Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28
The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18
The probability at being stopped at exactly one light is 1-0.18-0.28=.54 or 54%.
Answer:
x-6
Step-by-step explanation:
The mistake when expanding the bracket 3(x-6),3 was supposed to multiply 6 but instead it was added to 6 instead
the correct working
3(x-6)+(4x+12)-6x
3x-18+4x+12-6x
(3x+4x-6x)+(-18+12)
=x-6
You are given an annual interest rate of 4.2% compounded monthly for 20 years, mortgage amount of $235,000. You are asked to find the monthly payment. You need the compound interest formula to solve this problem. The answer is $1,449.
Answer:
Step-by-step explanation:
Joint variation has the equation
y = kxz
k is the constant of variation and needs to be solved for using the initial conditions, then filled in later to another equation related to the given info to solve for something else. We are given y = amount of oil used, x = distance traveled, z-squared is the speed. Our equation looks like this, to be exact:
Filling in with the initial conditions:
which gives us the
k = .0014166667
Now we need to find the amount of oil used, y, under other circumstances, but this time we have our k.
which gives us that the amount of oil used, when rounded to the tenths,
y = 24.0 barrels
Answer: 40.15
Step-by-step explanation: 40.15 IS LESS THEN 48.60
