Answer:
Step-by-step explanation:
The average rate of change is the change in the number of visitors divided by the change in the number of months.
1. Change in number of visitors
Change in visitors = 182 -125 = 57 visitors
2. Change in number of weeks
Change in time = 5 - 2 = 3 months
3. Average rate of change
The probability of randomly getting first a red marble and then a blue marble is:
P = 0.083
<h3>
How to find the probability?</h3>
There are:
- 3 blue marbles
- 2 red marbles
- 4 yellow marbles.
For a total of 9 marbles.
The probability of getting a red marble is equal to the quotient between the number of red marbles and the total, so:
P(red) = 2/9
Then the probability of getting a blue marble is equal to the quotient between the number of blue marbles and the total, but because we already took one marble, now the total is 8.
P(blue) = 3/8
The joint probability is given by the product:
P = (2/9)*(3/8) = 0.083
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
Hey there!
The range of a function consists of all the y values the function has in its graph.
Notice in the graph your y values in the function range from 3 to infinity since the graph goes on infinitely upwards and then decreases to a steady y value of 3.
Therefore, your range in interval notation would be [3,∞) since the value of three is included.
Hope this helps and have a wonderful day! :)
You see, the thing is, you dont
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.