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olganol [36]
3 years ago
13

Without further study, you forget things as time passes. A model of human memory gives the percentage, p, of acquired knowledge

that a person retains after t weeks. The formula is p = (100 – a)e-bt + a, where a and b vary from one person to another. If a = 18 and b = 0.6 for a certain student, how much information will the student retain two weeks after learning it?
Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

42.69% of information is acquired by the student in two weeks.

Step-by-step explanation:

We are given the following in the question:

p = (100 -a)e^{-bt} + a

where a and b are constants.

a = 18\\b = 0.6

p tells us about the percentage of acquired knowledge that a person retains after t weeks.

We have to find the percentage of knowledge acquired in two week.

We put t = 2

p = (100 -18)e^{-(0.6)(2)} + 18\\p = 42.69

Thus, 42.69% of information is acquired by the student in two weeks.

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ArbitrLikvidat [17]

Answer:

(-3,7)

Step-by-step explanation:

7 0
4 years ago
Which of the following inequalities matches the graph? graph of an inequality with a dashed line through the points (0, 3) and (
Snezhnost [94]
(0,3)(1,9)
slope = (9 - 3) / (1 - 0) = 6/1 = 6

y = mx + b
slope(m) = 6
use either of ur points...(0,3)...x = 0 and y = 3
now sub and find b, the y int
3 = 6(0) + b
3 = b

ur equation is : y = 6x + 3

for an inequality, a dashed line means there is no equal sign in the problem...and shading above the line means greater then.

so ur inequality is : y > 6x + 3
7 0
4 years ago
Two opposite integer are 12 unit apart on a number line .what are the integers?​
fomenos

Answer:

6 and -6

Step-by-step explanation:

Since they're 12 units apart that means one of them is 6 and the fact they're opposites means the other is -12

7 0
3 years ago
City planners are creating a 3-dimenslonal model of a city park to find the best placement for a new tennis court the city park
xxTIMURxx [149]

The dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.

Given, a rectangular plot of land that is 1,500 ft long and 600 ft wide the scale model of the park measures 7.5 ft x 3 ft.

The actual tennis court must be 120 ft long and 60 ft wide, then we need to find the dimensions of the tennis court in the scale model.

<h3>What is a scaled model?</h3>

A scale model is a physical model which is geometrically similar to an object. Scale models are generally smaller than large prototypes such as vehicles, buildings, or people.

First, divide the original measurements by the scaled ones. We get

1500 ft. ÷7.5 ft = 200

600 ft. ÷ 3 ft. = 200

Now, divide tennis courts actual dimensions by 200. That is

120 ft. ÷ 200 = 0.6 ft

60 ft. ÷ 200 =  0.3 ft

Therefore, the dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.

To learn more about scale factor visit:

brainly.com/question/22312172.

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5 0
2 years ago
Elyse is going to buy an around-the-world plane ticket. She will get to see just one city from each continent she will visit. Th
Mariulka [41]

Elyse has the option of combination of 960 cities, or another to choose from. If Elyse is going to buy an around-the-world plane ticket. She will get to see just one city from each continent she will visit.

<h3>Define permutation and combination.</h3>

Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.

Given,

Elyse is going to buy an around-the-world plane ticket. She will get to see just one city from each continent she will visit. The following table below shows the continents on her trip and how many cities she can choose from for each continent.

To determine how many options Elyse will have, we use permutations and combinations.

We can say that she has a choice of any of the eight cities in Asia for every ten cities in Europe. Similar to how she can select any of the 4 cities in Africa for every 8 cities in Asia. The same is true for Australia and Africa.

Elyse has a choice of a total:

10×8×4×3

960

Elyse has the option of combination of 960 cities, or another.

To learn more about permutation and combination, visit:

brainly.com/question/12436970

#SPJ1

8 0
1 year ago
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