Answer:
5%
Step-by-step explanation:
Probability is the likelihood of an event taking place.
-Given there are 95 white and 5 blue pieces, the total number of papers is 100.
-The theoretical first attempt probability is equivalent to the number of each paper divided by the total:
Hence, the theoretical probability that a blind-folded person draws a blue piece of paper on the first attempt is 0.05 or 5%
Answer:
Step-by-step explanation:
We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is
where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)
Solving first for a:
. Sine anything in the world raised to a power of 0 is 1, we can determine that
a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:
. Since b to the first is just b:
1.5 = 3b so
b = .5
Filling in our model:
Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.
Answer:
Step-by-step explanation:
Hi!
Lets call:
T = temprature of the object
T₀ = temperature of surroundings
t = time
The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:
In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:
Answer:
A = 48
Step-by-step explanation:
In this equation, we can factor out the expression . If we do so, the expression becomes:
We can simplify to get:
and get:
Therefore, A = 48