Answer:

Step-by-step explanation:
Flipping a coin and rolling a number cube are both independent events. Independent events do not rely on the outcome of any previous events. This means that whatever you flip on the coin will have no effect on whatever you roll on the number cube and each flip of the coin or roll of the cube has the same probability as the flip or roll before.
The probability of getting tails on a coin toss is: 
The probability of getting a number less than 3 (so 1 or 2) on a number cube is: 
Since we are combining these events, we need to multiply the fractions together to get our overall probability:
*
=
9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
Any value as long as P = Q
For the equation to have infinitely many solutions, we require both sides of the equation to have exactly the same terms.
First, let's simplify the inequality as much as we can:
-4x + 7 > 15
-4x > 8
Divide by -4:
x < -2
Avarage speed is (60+30)/2 = 45 miles per hour
bot is the same , Do not think so it is a right question.