The probability that the sum of the two number will be less than 4 is
Explanation:
It is given that Mike rolls two number cubes.
It is given by the sample space S.
Let A be the event that the sum of the two number will be less than 4.
The sample space is given by
Hence, the total probability of the sample space is
To determine the probability of the sum of the two number will be less than 4, we need to add the outcomes of the two numbered cubes which results in the value less than 4.
Thus, we get,
Thus,
The probability that the sum of the two number will be less than 4 is given by
Thus, the probability that the sum of the two number will be less than 4 is
Answer:
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
Step-by-step explanation:
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.
This means that the consumption after t years is given by the following differential equation:
In which k is the growth rate.
The solution is, applying separation of variables:
In which C(0) is the initial consumption.
The town consumed 4.4 trillion British thermal units (BTUs) initially.
This means that
So
5.5 trillion BTUs annually after 5 years.
This means that . We use this to find k. So
So
After 9 years?
This is C(9). So
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
Answer:
translation
Step-by-step explanation:
Use the points on the grapg to help you find the slope. rise over run= slope. i wrote the answers on the picture but i hope you understand how to do it
Answer:
x>=5/6
Step-by-step explanation:
She's practiced 2 1/3 hours already. Therefore, she has 1 2/3 hours left to practice. Let x be the minimum number of hours she needs to practice on each of the remaining two days.
Splitting up the remaining hours into two days, we get (5/3) divided by 2, which is 5/6 hours per day.
x is greater than or equal to 5/6 hours per day.