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
Alika [10]
3 years ago
8

Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he

wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag. Then, he asks each student to come to his desk, select five note cards out of the bag, define those five terms, and then put the note cards back in the bag. He records the number of terms each student is correctly able to define. What is the population in this situation? What is the sample? Use complete sentences in your answer. Do you think the data from the sample Mr. Wilson is collecting is representative of the population? Explain your reasoning using complete sentences.
Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0
1) The population

Is the set of all the terms that the teacher taught this semester and which he wrote down on the note cards and put in the paper bag.

2) The sample is every set of five cards that is selected by each student.

3) I think the sample is representative because all ther terms have the same probability of being selected. 

Further, given that the cards are replaced every time all the students will face the same population when they are going to select a sample.
<span><span>Comments </span> <span>Report</span></span>
You might be interested in
A function f has the following verbal description: multiply by 3, add 5, and
STALIN [3.7K]

Regarding the functions in this problem, it is found that:

a) The verbal description of the inverse is: Take the third root, subtract by 5 and divide by 3.

b) The formulas are:

  • f(x) = (3x + 5)³.
  • f^{-1}(x) = \frac{\sqrt[3]{x} - 5}{3}

c) The compositions result in x, hence they are inverses.

<h3>How to obtain the inverse function?</h3>

The original function is described as follows:

  • Multiply by 3: 3x.
  • Add 5: 3x + 5.
  • Take the third power: (3x + 5)³.

Hence the function is:

y = (3x + 5)³.

To obtain the inverse functions, we exchange x and y and then isolate y, hence:

x = (3y + 5)³

\sqrt[3]{x} = \sqrt[3]{(3y+5)^3}

3y + 5 = \sqrt[3]{x}

3y = \sqrt[3]{x} - 5

y = \frac{\sqrt[3]{x} - 5}{3}

f^{-1}(x) = \frac{\sqrt[3]{x} - 5}{3}

The verbal description of the inverse is:

  • Take the third root. sqrt[3](x).
  • Subtract by 5: sqrt[3](x) - 5.
  • Divide by 3.

The compositions are given as follows:

  • f(f^{-1}(x)) = f\left(\frac{\sqrt[3]{x} - 5}{3}\right) = \left(3\left(\frac{\sqrt[3]{x} - 5}{3}\right + 5)\right)^3 = (\sqrt[3]{x})^3 = x
  • f^{-1}(f(x)) = f^{-1}((3x + 5)^3) = \frac{\sqrt[3]{(3x + 5)^3} - 5}{3} = \frac{3x + 5 - 5}{3} = x

More can be learned about inverse functions at brainly.com/question/11735394

#SPJ1

4 0
2 years ago
Solve the problem.
Alex73 [517]
1234xxx0  1`= 21 x3 2= 21x 3 3 =21x3 4= 21x 3 5=21x3  6=21x3 7=21x3 8=21x3 9=21 x3  irt will take him 588 secs
5 0
3 years ago
3. A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will the
PolarNik [594]

Answer:

B: 6 miles

Step-by-step explanation:

You divide 18 by 3 and get 6.

3 0
3 years ago
Answer this pls thank u,
natta225 [31]
The answer is D, the yellow
5 0
3 years ago
The perimeter of a rectangle is 40 inches. If the length is four less than twice the width, find the dimensions and area
Vinvika [58]

Answer:

<u>L = 12 inches and W = 8 inches</u>

<u>Area = 96 in^2</u>

Step-by-step explanation:

Perimeter(P) = 2(width) + 2(length)

Let W = width and L = length

P = 2W + 2L

L = 2W - 4

Substitute:  P = 2W + 2(2W - 4)

P = 6W - 8

P = 40 inches

40 = 6W - 8

6W = 48

W = 8

L = 2W - 4

L = 2(8) - 4

L = 12

<u>L = 12 inches and W = 8 inches</u>

<u>===============================</u>

Check to see if this works:  

P = 2W + 2L

P = 2(12) + 2(8)

P = 24 + 16

P = 40 inches  <u>YES</u>

<u>========</u>

Area = WxL

Area = (12)*(8)

<u>Area = 96 in^2</u>

7 0
2 years ago
Other questions:
  • Svana wants to solve the equation x - 1.0675 = 3x - 4145.
    6·2 answers
  • Solve. If there are X teams in a sports league and all the teams play each other twice, a total of N(x) gamers are played, where
    7·2 answers
  • How could you use what you know about adding whole numbers to add 0.23+0.54+0.13
    7·1 answer
  • What is the answer? PLZ help me
    12·1 answer
  • The measurements of all the angles of a triangle​
    10·2 answers
  • Could you help me answer this question
    14·2 answers
  • 4(c-3)-8 what is the value of c
    7·1 answer
  • 2 1/3 ÷ 16 please answer this ​
    5·1 answer
  • 12 workers build a wall in 10hours. How long do 5 workers build a wall​
    9·2 answers
  • Martha is 13 years old. She is 7 years<br> younger than her brother, Paul.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!