<span>0.5p - 3.45 = -1.2 ⇒ p=4.5</span>
Answer:
Each interior angle = 135 degrees,
Step-by-step explanation:
The exterior angles of all convex polygons add up to 360 degrees.
So for a regular octagon each exterior angle = 360 / 8
= 45 degrees.
Therefore each interior angle = 180 - 45 = 135 degrees,
Answer: 233 min
Step-by-step explanation:
This problem can be solved by the following equation:
(1)
Where:
is the quantity left after time 
is the initial quantity
is the time elapsed
is the constant of decay for the material
So, firstly we need to find the value of from (1) in order to move to the next part of the problem:
(2)
Applying natural logarithm on both sides of the equation:
(3)
(4)
(5)
(6)
(7) Now that we have the value of we can solve the other part of this problem: Find the time for 
.
In this case we need to isolate from (1):
(8)
(9)
Finally:
Answer:
0.525%
Step-by-step explanation:
Since we are trying to find the probability of a sequence of events we simply need to multiply the probability of each of these events happening separately from one another. We are told that the probability that the light will be red is 65% that means that the probability that it will be green and that the driver will not need to stop is 35%. This probability remains the same every day of the week. Therefore we need to multiply this probability 5 times, one time for each weekday Monday through Friday, but first we need to turn this percentage into a decimal form by dividing it by 100...
35% / 100 = 0.35
0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.00525 ...multiply by 100 to get percentage
0.00525 * 100 = 0.525%
Finally, we can see that the probability that she will not have to stop at the light all next week is 0.525%
