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
spayn [35]
3 years ago
12

Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inch

es and the standard deviation is 4 inches, 95% of the population will have a height within which of the following ranges?

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
5 0

Answer:

60 -76 is the range

Step-by-step explanation:

As the graph shows, if we are in 2 standard deviations of the mean, we are in (34.1 + 13.6) *2 = 47.7*2 = 95.4 %

Our mean is 68

2  standard deviations is 2 * 4 = 8

68-8 = 60

68 * 8 = 76

We need to be between 60 and 76 to have at 95% confidence interval


Irina18 [472]3 years ago
4 0

The empirical rule states that at 95% the measurements would be within 2 standard deviations of the mean.


You are given a mean of 68 inches and a standard deviation of 4.

2 times the standard deviation = 2 x 4 = 8

So 95% of the heights would be between 68-8 = 60 inches and 68+8 = 76 inches.

You might be interested in
If 81 is added to a number the result is 39 less than three times the number
Deffense [45]

let x =the number

Step-by-step explanation:

81+x=3x-39

group like terms

81+39=3x-x

120=2x

120/2=2x/2

60=x

therefore x =60

4 0
3 years ago
Read 2 more answers
205.2÷5.4<br> I need help
Aloiza [94]
The answer to that question is 38. 
3 0
4 years ago
Read 2 more answers
Sketch the graph of and identify the axis of symmetry
kaheart [24]
The axis of symmetry is found within the set of parenthesis with the x.  If our h value of the vertex is -4, then the axis of symmetry is x = -4.  D is that choice.  Cannot graph it here, but your vertex is sitting at (-4, 4), it's an upside down parabola, and some other points on this graph are (-5, 0), (-3, 0), (-6, -12), (-2, -12).  You could graph it using those points and the vertex without a problem, I'm sure.
6 0
3 years ago
Read 2 more answers
17. x^2 + 2x + 1
valentina_108 [34]

Answer:

E. This polynomial could be factored by using grouping or the perfect squares methods.

Step-by-step explanation:

x^2 + 2x + 1

There is no greatest common factor

This is a perfect square

a^2 + 2ab+ b^2 = ( x+1)^2

We can factor this  by grouping

x^2 + 2x + 1

(x^2 +x) + (x+1)

x( x+1)  + x+1

Factor out x+1

( x+1)  ( x+1)

This is not the difference of squares since there is no subtraction

5 0
3 years ago
Simplify 2x2a^2 x2a^2
horrorfan [7]

Step-by-step explanation:

> 2×2a²×2a²

8a⁴

> 36a³×1/4a²

9a³×1/a²

9a

> 2⁶

> 5²m²

6 0
3 years ago
Other questions:
  • A number r is no less than −1.5 and fewer than 9.5
    6·2 answers
  • there are 76 birdhouses, if 4 birdhouses are occupied, how much percent of the birdhouses are occupied?
    15·2 answers
  • HELP ASAP PLZ RADIANS AND DEGREES
    10·1 answer
  • A trains leaves Cincinnati at 2:00 pm.A second train leaves the same station in the same direction at 4:00 pm.The second train t
    11·1 answer
  • Someone please help me ! I suck at plotting inequalities and when are you suppose to keep the circle open or close ?
    8·2 answers
  • The graph of y = –2x + 11 is:
    6·1 answer
  • What is 200 plus 200 plus 1,000 plus 6,000 equal to?
    12·2 answers
  • (2x+1)(x-1)=0 <br>2x-10=5+3x​
    9·2 answers
  • You deposit $3000 in a bank account that pays 4% annual interest. Find the balance after 7 years if the interest is compounded q
    7·1 answer
  • If f(x) = –3x – 2, what is f(–5)?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!