1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natima [27]
3 years ago
12

Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. After t​

months, the average score​ S(t), as a​ percentage, was found to be given by the following​ equation, whereStudents in a zoology class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. After t​ months, the average score​ S(t), as a​ percentage, was found to be given by the following​ equation, where t>=0.
Required:
a. What was the average score when they initially took the test, t=0?
b. What was the average score after 4 months?
c. What was the average score after 24 months?
d. What percentage of their original answers did the students retain after 2 years?
e. The maximum of the function is_____%.

Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

a. 73; b. 48.9; c. 2; d. 33.8; e. 73

Step-by-step explanation:

Assume the function was

S(t)= 73 - 15 ln(t + 1), t  ≥ 0

a. Average score at t = 0

S(0) = 73 - 15 ln(0 + 1) = 73 - 15 ln(1) = 73 - 15(0) =73 - 0 = 73

b. Average score at t = 4

S(4) = 73 - 15 ln(4 + 1) = 73 - 15 ln(5) = 73 - 15(1.61) =73 - 24.14 = 48.9

c. Average score at t =24

S(24) = 73 - 15 ln(24 + 1) = 73 - 15 ln(25) = 73 - 15(3.22) =73 - 48.28 = 24.7

d. Percent of answers retained

At t = 0. the students retained 73 % of the answers.

At t = 24, they retained 24.7 % of the answers.

\text{Percent retention} = \dfrac{\text{24.7}}{\text{73}} \times 100 \, \% = \text{33.8 \%}\\\\\text{The students retained $\large \boxed{\mathbf{33.8 \, \%}}$ of their original knowledge after two years.}

e. Maximum of the function

The maximum of the function is at t= 0.

Max = 73 %

The graph below shows your knowledge decay curve. Knowledge decays rapidly at first but slows as time goes on.

 

You might be interested in
The triangles in the figure are similar: ΔABC ∼ ΔDEF. Which of the following statements must be true? options: A) AB/DE=BC/EF=CA
VikaD [51]

Answer:

Answer A

Step-by-step explanation:

We see that ABC is similar to DEF. Pay attention to the order of these letters. The order that they read (left-to-right) is the order that they are similar. For example, AB is similar to DE. Despite being different triangles, they are both the <em>first two </em>letters in the triangle. So, knowing this, we can conclude that answer choice A is correct.

7 0
3 years ago
Read 2 more answers
Use the discriminant to determine the number and type of solutions the equation has.
lidiya [134]
Discriminant = square root (b^2 -4*a*c)
square root (64 -4*1*12) =
square root (16) =
4
Therefore it has 2 rational soltions


4 0
3 years ago
I have a question for special product patterns.<br><br> It is in the attached image.
anastassius [24]
Its answer 3 because they are the only difference with two squared numbers
7 0
3 years ago
PLEASE HELP ASAP 25 POINTS GOOD ANSWERS ONLY!
timama [110]

Answer:

128

Step-by-step explanation:

6 0
3 years ago
Winona asked randomly selected students in
MA_775_DIABLO [31]
  • Sample space=S=240
  • N=75
  • Y=165

\\ \sf\longmapsto P(N)=\dfrac{75}{240}=\dfrac{25}{48}\approx 2

\\ \sf\longmapsto P(Y)=\dfrac{165}{240}

\\ \sf\longmapsto P(Y)=\dfrac{33}{48}

\\ \sf\longmapsto P(Y)=\dfrac{11}{16}

3 0
2 years ago
Other questions:
  • I really need help plzz
    11·1 answer
  • Why doesn’t zero have an opposite
    7·1 answer
  • An amusment park sells 9 tickets for $12 and 12 tickets for $15 . Is this fair explain
    5·1 answer
  • Please help ASAP! 13 Points
    9·1 answer
  • Clark wants to figure how many pens to order for the office. There are 24 workers, and he needs to order one pen for each worker
    8·1 answer
  • Write the sentence as an <br> inequality. The product of 10 and a number is greater than 60.
    5·1 answer
  • What is the value of x, given that AE || BD?​
    12·1 answer
  • What is 9 2/7 simplified
    11·2 answers
  • Is the following exponential graph increasing or decreasing? If it is, what exponent problem is it? Explain.
    9·1 answer
  • What is 42/3 simplified?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!