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
Maksim231197 [3]
3 years ago
9

Systematic Sampling Technique is used to select 5 numbers between 1 and 200. The first selected number is 12. What should be nex

t four numbers?
Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer:  52, 92 , 132, 172

Step-by-step explanation:

  • A systematic random sampling is a random sampling technique in which a sample from a large population are chosen according to a random beginning point and a fixed periodic interval (k).

Given : Systematic Sampling Technique is used to select 5 numbers between 1 and 200.

⇒ Population size : N=200

Required Sample size  : n=5

Since , Sampling interval is given by :-

k=\dfrac{N}{n}

⇒ [tex]k=\dfrac{200}{5}[=40/tex]

If the first selected number is 12, then the next four numbers would be :

(12+K) , (12+2k) , (12+3k) , (12+4k)

Put value of k , we get

(12+40) , (12+2(40)) , (12+3(40)) , (12+4(40)) =(52, 92 , 132, 172)

Hence, the  next four numbers are : 52, 92 , 132, 172

You might be interested in
Factories <br>(a+b)^3+8c^3​
Rom4ik [11]

Answer:

(a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

Step-by-step explanation:

Given

(a + b)³ + 8c³ ← this is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Thus

(a + b)³ + 8c³

= (a + b)³ + (2c)³

= (a + b + 2c)( (a + b)² - 2c(a + b) + (2c)² )

= (a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

8 0
3 years ago
Evaluate -8w + 3z when w = 2.2 and z = -9.1.
atroni [7]
-8w+3z
w=2.2
z=-9.1

-8(2.2)+3(-9.1)
-17.6-27.3
-44.9

The answer is -44.9
8 0
3 years ago
Read 2 more answers
Suppose y varies directly as x, and y = 21 when x = 3. Find x when y = 42.
nata0808 [166]

Answer:

x = 24

Step-by-step explanation:

y₂ - y₁

42 - 21 = 21

x + 21

3 + 21 = 24

So when y increases by 21, so does x.

x = 24

7 0
3 years ago
The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
8 0
3 years ago
Please helppp number 11
aivan3 [116]

Answer:

(1/3)⁷

Step-by-step explanation:

negative exponents work like this:

x⁻²=(1/x)²

Apply this theory to this equation:

3⁻⁷=

(1/3)⁷

4 0
3 years ago
Other questions:
  • - what is the answer to 3t^2+11t-6
    13·1 answer
  • X-3=4 with work to provide
    12·2 answers
  • Order from least to greatest
    7·2 answers
  • a person stands on top of a 200 ft building and spots a person on the ground below. the angle of depression from where the perso
    12·1 answer
  • A used car dealership categorizes its salespeople by the number of cars sold per year, with the categories being 0-8, 9-16, 17-2
    14·2 answers
  • I NEED HELP ASAP!! WORK ON THE QUESTION WOULD BE NICE BUT NOT NECESSARY!! THANK YOU FOR HELPING ME!
    7·1 answer
  • The local movie theater reported losses of $475 each day for three days.what what is the loss for the three days?
    15·2 answers
  • What is greater 10 5/9 or 10.57
    13·1 answer
  • Explain why y^2 = x (X input, y output) is not a function.
    15·2 answers
  • Geometry and I need help
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!