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
Solnce55 [7]
3 years ago
5

Solve the problem. A variable x has the possible observations shown below. Possible observations of x: -3 -1 0 1 1 2 4 4 5 Find

the z-score corresponding to an observed value of x of 2.
Mathematics
1 answer:
svp [43]3 years ago
4 0

Answer:

The z-score corresponding to an observed value of x of 2 is 0.215.

Step-by-step explanation:

We are given that a variable x has the possible observations shown below;

Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.

Firstly, we will find the mean and the standard deviation of X, i.e;

Mean of X, (\mu) = \frac{\sum X}{n}

                       =  \frac{(-3)+ (-1)+ 0+ 1+ 1+ 2+ 4+ 4+ 5}{9}  

                       =  \frac{13}{9}  = 1.44

Standard deviation of X, (\sigma) =  \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }

                            =  \sqrt{\frac{(-3-1.44)^{2}+(-1-1.44)^{2}+......+(4-1.44)^{2}+(5-1.44)^{2} }{9-1} }

                            =  2.603

Now, the z-score corresponding to an observed value of x of 2 is given by;

                  z-score =  \frac{X-\mu}{\sigma}

                               =  \frac{2-1.44}{2.603}  = <u>0.215.</u>        

You might be interested in
Find the area of this triangle.<br> 6 ft<br> 10 ft
Natalija [7]
The area of this figure would be 30 ft^2 hope this helped!!
5 0
2 years ago
F(x) = 14 - 0.5<br> f(30) =
serg [7]

Answer:

13.5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the value of x.
PIT_PIT [208]

Answer:

Step-by-step explanation:

180 = 7x +2  + 7x + 2  + 180 - (17x -23)

180 = 14x +4 + 180 -17x +23

180 = -3x +207

3x = 27

x = 9

4 0
3 years ago
What is the diameter of a circle if the radius is 400 millimeters​
Luda [366]

Answer:

800

Step-by-step explanation:

d=2r=2·400=800

5 0
3 years ago
Read 2 more answers
What is the value of x when -25(x - 4) = -55(x - 10) ?
Free_Kalibri [48]

Simplify both sides of the equation

-25(x-4)=-55(x-10)

(-25)(x) + (-25)(-4)=(-55)(x) + (-55) (-10)

Distribute

-25x+100=-55x+550

Add 55x  to both sides

-25x+100+55x=-55x+550+55x

30x+100-100=550-100

subtract 100 from both sides

30x+100-100=550-100

30x=450

divide both sides by 30

30x/30=450/30

x= 15

The value of x is 15


I hope that's help you my friend !

5 0
3 years ago
Read 2 more answers
Other questions:
  • Your annual salary is $28,460 your State personal deductions total $88 for a weekly pay period. The state tax rate is 3.6% of ta
    8·1 answer
  • P varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3.
    5·2 answers
  • Christian used 2/3 of a bottle of soap. To determine how much soap was left, he took the original amount of x ounces and calcula
    13·1 answer
  • How do you add 1/10 plus 8/100
    7·2 answers
  • 3. Jim bought 2 books yesterday. The price
    12·1 answer
  • A box of cereal weigh 600 grams how much is this weight in pounds? Explain your reasoning
    13·1 answer
  • What is the value of z?
    9·1 answer
  • 10. What are the break-even points of the profit function (the values of x where profit equals 0)? Use the quadratic formula. (4
    10·1 answer
  • Do anyone know <br> -8(1+4x)+7x=-25-8x
    6·2 answers
  • Identify any common angles or sides QTP = SPT ​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!