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
Vera_Pavlovna [14]
3 years ago
5

Given a mean of 150 and a standard deviation of 25:

Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0
We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.

So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.

In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data

Similarly position of the point 37.5% below the mean will be located at 
50 - 37.5% = 12.5% of the overall data

From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.

Using these z scores, we can find the values which contain 75% of the values about the mean.

z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:

150 - 1.15(25) = 121.25

z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:

150 + 1.15(25) = 178.75

So, the interval from 121.25 to 178.75 contains the 75% of the data values. 
You might be interested in
Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.
NemiM [27]

Complete question is;

Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.

1) 2x + y = 10

x - 3y = -2

2) x + 2y = 5

2x + y = 4

3) x + 3y = 5

6x - y = 11

4) 2x + y = 10

-6x - 3y = -2

Answer:

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

Step-by-step explanation:

1) 2x + y = 10 - - - (eq 1)

x - 3y = -2 - - - (eq 2)

Multiply eq 1 by 3 to get;

6x + 3y = 30

Add it to eq 2 to get;

7x = 28

x = 28/7

x = 4

2) x + 2y = 5 - - - (eq 1)

2x + y = 4 - - - (eq 2)

Multiply eq 2 by 2 to get;

4x + 2y = 8

Subtract eq 1 from it to get;

3x = 3

x = 3/3

x = 1

3) x + 3y = 5 - - - (eq 1)

6x - y = 11 - - - (eq 2)

Multiply eq 2 by 3 to get;

18x - 3y = 33

Add to eq(1) to get;

19x = 38

x = 38/19

x = 2

4) 2x + y = 10 - - - (eq 1)

-6x - 3y = -2 - - - (eq 2)

Make y the subject in eq 1 to get;

y = 10 - 2x

Put in eq (2);

-6x - 3(10 - 2x) = -2

-6x - 30 + 6x = -2

0 = 0

Thus,no solution exists.

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

3 0
2 years ago
Diff Eq dy/dx= (ycos(x))/(1+y^2) initial condition is y(0)=1 work below ...?
Volgvan
Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2
5 0
3 years ago
Some adults and children went to a movie.
aalyn [17]
4 adults and 8 children
3 0
3 years ago
Read 2 more answers
Draw a box-and-whisker plot for the set of data. 27, 35, 44, 51, 52, 54, 56, 69, 69, 79, 80, 100, 100 a. Please select the best
Finger [1]

look at the picture not my text lol

6 0
3 years ago
Read 2 more answers
Guys please help me. I am stuck read the directions to see what to do ps: thanks
AleksandrR [38]
5; 6; 4; 14; 6
12; 2; 2; 68; 21
4; 10; 6; 32; 34
3;4;66;2;5
36;18;3 1/2;12/5;2
that's all i believe
3 0
3 years ago
Read 2 more answers
Other questions:
  • 17.2=h+4 what does h equal
    10·2 answers
  • Suppose 15% of the apples picked one afternoon are rotten.
    14·2 answers
  • Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –20 B. x ≤ –9 C. x ≤ –5 D. x ≤ –37
    15·1 answer
  • List Things you could measure in milliliters and liters.<br><br><br> Help , thanks
    11·1 answer
  • Find -3A+6B Matrices
    9·1 answer
  • * Question Completion Status:
    7·1 answer
  • What’s is 2.4827 nearest hundredth of an ounce
    13·2 answers
  • Solve Similar triangles<br> Solve for x.<br> x=?
    8·1 answer
  • What equation has a solution of 2/3 for x
    6·1 answer
  • Pls say hard<br>very hard​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!