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
schepotkina [342]
3 years ago
14

Or a very large set of data the measured mean is found to be 288.6 with a standard deviation of 21.2. assuming the data to be no

rmally distributed, determine the range within which 75% of the data are expected to fall.
Mathematics
1 answer:
SashulF [63]3 years ago
8 0

The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.

Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.

So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ

That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)

Answer: 264.22 to 312.98


You might be interested in
Find the range of ƒ(x) = 3g – 5 for the domain {–1.5, 2, 4}
timofeeve [1]
-1.5 ------ f(x) = 3(-1.5) - 5
= -4.5 -5
= 9.5

2 -------- f(x) = 3(2) - 5
= 6 -5
= 1

4 -------- f(x) = 3(4) - 5
= 12 - 5
= 7
(9.5, 1 , 7)
6 0
3 years ago
PLEASE HELP ME!!!! i dont get this at all
daser333 [38]
Just divide the number that is biggest by 2 and you should get the answers for example #1 10÷2=5, #2 1÷2=0.5 #3 0.01÷2=0.005
5 0
3 years ago
Select the correct answer. What is the solution to the equation? 3(x + 9)^3/4 = 24​
bazaltina [42]

Answer:

C~7

Step-by-step explanation:

7 0
2 years ago
100 POINTS!!!! Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It
dangina [55]
Based on the docx you showed me, the equation for the parabola is y = x^2 + 36 and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).

If you use these two points to create a line we get the equation:

y - 6 = \frac{34 - 6}{-2 - 5}(x - 5) (I just used point slope form)

This can be simplified to:

y = \frac{40}{-7}x + \frac{242}{7}

Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept: (0, \frac{242}{7}) and the x-intercept: (\frac{121}{20}, 0).

So our table of value can be:

x          | y
______|________
-2         | 34
0          | 242 / 7
5          | 6
121/20 | 0
3 0
3 years ago
1/2x+3y=4 for x when y=6
goldfiish [28.3K]

Answer:

are you looking for the substiution

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the middle number of 8 and 15
    6·2 answers
  • Explain why some geometric shapes don't roll​
    8·2 answers
  • -2+n=-8(1-8n)+6 solve for n.
    11·1 answer
  • What is - 5 = -2 what is the questionwhat is the question
    12·1 answer
  • Factors of 54 and 36 all factors correct = brainliest answer
    14·1 answer
  • In the town of Westerly, Windsor Avenue and Orchid Drive are parallel. Main Street is perpendicular to both Windsor Avenue and O
    9·1 answer
  • What is the slope of the line containing (-2,5) and (4, -4)?
    12·2 answers
  • Pls help me frens......
    12·1 answer
  • I'm lost on this please help
    13·1 answer
  • Y = 1/2x + 4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!