Hi there!
a.
To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.
Evaluate using a calculator:
b.
To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.
In other terms:
We can evaluate using a calculator (math-9 on T1-84):
c.
If:
Then:
Evaluate at t = 20:
This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.
d.
To find the maximum, we must use the first-derivative test.
Set S(t) - R(t) equal to 0:
Graph the function with a graphing calculator and set the function equal to y = 0:
According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.
<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>
Answer:
probability = 0.183 %
Explanation:
given data
produce products = 3 %
probability for producing products b = 6.1
solution
Both companies produce different products and the likelihood of bankruptcy varies depending on the product produced. So, the bankruptcy potential of A and B companies is independent.
we will multiply the probability of each company's bankruptcy and that will be
probability = P(A=bankrupt) × P(B=bankrupt)
probability = 3% × 6.1%
probability = 0.183 %
Answer:
Humans belong in the chordata phylum because they meet on the criteria listed on the chart (multicellular, tissues, vertebrae). Each requirement for each phylum also applies to the categories on the right. Because humans are one of the most complex life forms, it only makes sense that we're in the most complex phylum.
Answer:
A key drawback with the use of tests to screen individuals for desirable characteristics is that It is a time-consuming procedure.
It is very important for the employees to know exactly what they must look into and assess the characteristics accurately. This process is very time consuming and takes up a lot of patience and resources to carry the tests.
A study that would need to occur quickly cannot indulge into this testing process because of it being very tedious and time consuming.
Answer:
C. changes in temperature
Explanation:
The deciduous trees are the trees that shed their leaves in the autumn, and also minimize their activity during the winter months, starting to be active and grow new leaves in the spring. The main reason for this action by this type of trees is the temperature. The temperature in the winters is very low, often being far beyond the freezing point, making it very difficult for these trees to survive if they are active through it. In order to avoid severe damage or dying out in the winter, these plants hibernate, but also have developed thick bark, and very resilient roots.
