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
skelet666 [1.2K]
2 years ago
14

A population, with an unknown distribution, has a mean of 80 and a standard deviation of 7. for a sample of 49, the probability

that the sample mean will be larger than 82 is
Mathematics
1 answer:
babymother [125]2 years ago
3 0
Since the distribution is unknown, we have to think of the CLT (Central Limit Theorem):
n = 49

μ(x) = μ →→ μ(x) = μ = 80

σ(x) = σ/(√v) →→ 7/√49 = 7/7 = 1

Z(x) = (X-μ)/[σ(x)]

Z(x) = (82-80) /1
Z(x) = - 2
For Z= - 2, the area (probability) = -0.0228 (from the left)
and due to symmetry this area  is equal in absolute value to the sample larger than 82 (to the right), hence the P(X>82) = 0.228

You might be interested in
I'm stuck and really need help. I can't figure out the rest.
Ad libitum [116K]

Answer:

The next statements are are;

Statement                                                  {}        Reason

Segment \overline {DC} ≅ Segment \overline {AB}                        {}   CPCTC

\overline {AD} ≅ \overline {BC} and \overline {DC} ≅ \overline {AB}, therefore;

ABCD is a parallelogram                    {}               Parallelogram side theorem

Step-by-step explanation:

Statement                                                  {}        Reason

Segment \overline {DC} ≅ Segment \overline {AB}  by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

Given that \overline {AD} ≅ \overline {BC} and we have that \overline {DC} ≅ \overline {AB}, we get;

ABCD is a parallelogram                    {}               Parallelogram side theorem

The parallelogram side theorem states that a quadrilateral is a parallelogram if it has two pairs or sets of congruent opposite sides.

4 0
2 years ago
What is the solution of 6x-20= 4x-4
satela [25.4K]

 

<h3>6x - 20 = 4x - 4</h3><h3>6x - 4x = 20 - 4</h3><h3>2x = 16</h3><h3>x = 16 : 2</h3><h3>x = 8</h3>

6 0
3 years ago
You found a cute bear so have some free po.ints
Alla [95]

yeah

I understand that I can do you want to go

8 0
2 years ago
(-1,2) and (3,4) what's the midpoint ? Show work please.
babymother [125]
The midpoint formula is:
( \frac{x1 + x2}{2} ,  \frac{y1+y2}{2} )
Insert your coordinates.
(\frac{-1+3}{2},  \frac{2+4}{2}) =  (\frac{2}{2},  \frac{6}{2} )
Simplify.
(1,3)
7 0
3 years ago
(i need help with these 2 questions )
Usimov [2.4K]

Answer:

question one answer ===30

question two ===the number 49836 is divisible by 2,3,6

4 0
2 years ago
Other questions:
  • Another way to say 35 in tens and ones
    14·2 answers
  • What is the measure of E?
    12·1 answer
  • HELP PLEASE
    9·1 answer
  • How do you find the equivalent to a quadratic equation?
    10·2 answers
  • Simultaneous equations 2x+3y=13 4x-y=-2
    10·1 answer
  • Solve the systems of equations 2x+2y+6z=8 5x+6y+5z =3 5x+6y+3z=3
    13·1 answer
  • 7m find the area<br> please ​
    8·2 answers
  • Hey what's the answer !!<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B98%20-%20%28%2017%29%7D%20" id="TexFormula1" titl
    9·2 answers
  • Help please I’m not sure what do do with these kind of problems
    12·2 answers
  • A circular tablecloth has a diameter of 70 inches. Max wants to add a decorative fabric around the edge of the tablecloth.Approx
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!