Recall your d = rt, distance = rate * time
thus
notice, the first car leaves at "x" time, the other leaves on hour later, or x + 1
the first car travels some distance "d", whatever that is, thus
the second car, picks up the slack, or the difference, they're 380 miles
apart, thus the difference is 380-d
Answer:
In order: There are potentially many solutions, but the one I know that will work with this is 2 blue spaces, 1 Green Space, 2 Orange Spaces, and 5 Red Spaces.
Step-by-step explanation:
How I came to my answer was simple. I divided the greatest common factor into every number of spins, and that number would be the amount of spaces for each.
With this, we get the following equations, as listed below.
16 divided by 8, which accounts for both Orange and Blue.
40 divided by 8, which will account for Red.
8 divided by 8, which accounts for Green.
This gives us our solutions as listed in the Answer Section.
Hope this helped.
Define three events A,B,C such that
A = first card is a face card
B = second card is a face card (assuming event A happens)
C = third card is a face card (assuming events A & B happen)
No replacements are made
There are 3 face cards (J, K, Q) per suit. There are 4 suits. In total, there are 3*4 = 12 face cards out of 52 total
P(A) = probability that event A happens
P(A) = 12/52
P(A) = 3/13
After event A happens, we have 12-1 = 11 face cards out of 52-1 = 51 total
P(B) = 11/51
After B happens, we have 11-1 = 10 face cards out of 51-1 = 50 left over
P(C) = 10/50
P(C) = 1/5
Based on how the events A,B,C are set up, we can form this equation
P(A and B and C) = P(A)*P(B)*P(C)
P(A and B and C) = (3/13)*(11/51)*(1/5)
P(A and B and C) = 11/1105
P(A and B and C) = 0.00995475113122
Rounded to the nearest tenth, the answer is simply 0.0 which is a lousy answer in my opinion because it implies that the answer is truly 0 instead of something really small. Though to be fair, the result is very close to 0. A much better approach is to round to the nearest hundredth to get 0.01; though I would ask your teacher for clarification and guidance.
note: a probability of 0 means that the event is impossible to happen, yet it is not impossible to pull out three face cards in a row. Is it unlikely? Yes. Because the result is roughly 0.00995 which is a really small decimal close to 0. But it's not 0 itself.
Answer:
1/2
Step-by-step explanation:
Plugging in the values
4(-3)^0*2^-3
4(1)*1/8
4/8
1/2
