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
malfutka [58]
3 years ago
9

425 school children were surveyed about what they want to be when they grow up, out of a choice of five professions. The results

were Teacher 80, Doctor 105, Lawyer 70, Police officer 70, Firefighter 100. a. Obviously these particular children preferred some occupations over others. Test whether their preference reflects a real difference in the population or not. b. Which of the categories contributed the most to the chi-squared test statistic?
Mathematics
1 answer:
hammer [34]3 years ago
6 0
Given:

425 school children

Teacher : 80
Doctor : 105
Lawyer : 70
Police Officer : 70
Firefighter : 100
Total = 425

After applying Pearson's chi-squared test, it is concluded that this data reflects a real difference in the population. 

x^{2} = summation ((O_i - E_i)^2/E_i)
You might be interested in
Which expression uses the distributive property to represent the sum of 72 + 24?
kotykmax [81]

Answer:

a+b

Step-by-step explanation:

or any letter as long as it has the plus sign

7 0
3 years ago
Read 2 more answers
Which relationships describe the angle pair x° and 157º?
kompoz [17]

Step-by-step explanation:

supplementary angles.

6 0
3 years ago
Find the surface area of the sphere with the given dimension. Leave your answer in terms of pi.
Brrunno [24]
The surface area of the sphere:
A = 4 r² π 
1 ) r = 60 m;
A = 4 · 60² π = 4 · 3600 π = 14,400 π m²
2 ) Diameter of 14 cm:
r = 14 cm / 2 = 7 cm
A = 4 · 7² π = 4 · 49 π = 196 π cm²
5 0
3 years ago
The following set of ordered pairs represents a power inverse variation. Find the value of r given that k = 5.
pochemuha

Answer:

r=2

Step-by-step explanation:

y = k x^r  is the formula for a direct variation

y = k x^ -r is the formula for a indirect variation

20= 5 (1/2)^ -r

Divide each side by 5

4 = (1/2) ^ -r

Rewriting

2^2 = 2^ -1 ^ -r

2^2 = 2 ^ r

The bases are the same so

2 =r

4 0
3 years ago
The graph of the function f(x) = (x +2)(x + 6) is shown
dalvyx [7]

The true about the domain and the range of the function is:

The domain is all real numbers, and the range is all real  numbers

greater than or equal to -4 ⇒ 1st answer

Step-by-step explanation:

f(x) = (x + 2)(x + 6) is a quadratic function with 2 factors (x + 2) and (x + 6)

By multiplying its two factors we will find the form of the quadratic function

∵ (x)(x) = x²

∵ (x)(6) = 6x

∵ (2)(x) = 2x

∵ (2)(6) = 12

∴ f(x) = x² + 6x + 2x + 12

- By adding like terms

∴ f(x) = x² + 8x + 12

The quadratic function represented graphically by a parabola

Look to the attached figure

The x-coordinate of the vertex point of the parabola h = \frac{-b}{a}

where b is the coefficient of x and a is the coefficient of x²

∵ f(x) = x² + 8x + 12

∴ a = 1 and b = 8

∴ h = \frac{-8}{2*1}=-4

The y-coordinate of the vertex point is k = f(h)

∵ h = -4

∴ k = f(-4)

∴ k = (-4)² + 8(-4) = 12 = 16 - 32 + 12

∴ k = -4

∴ The vertex point of the parabola is (-4 , -4)

∵ The parabola is opened upward

∴ Its vertex is minimum point

∴ The minimum value of f(x) is y = -4

∵ The domain of the function is the values of x

∵ The range of the function is the values of y corresponding to the

   values of x

∵ x can be any real numbers

∴ x ∈ R, where R is the set of real numbers

∴ The domain of f(x) is all real numbers

∵ The minimum value of f(x) is y = -4

∴ y can be any real number greater than or equal to -4

∴ y ≥ -4

∴ The range is all real number greater than or equal to -4

The true about the domain and the range of the function is:

The domain is all real numbers, and the range is all real  numbers

greater than or equal to -4

Learn more:

You can learn more about quadratic function in brainly.com/question/1332667

#LearnwithBrainly

7 0
3 years ago
Other questions:
  • The length of a rectangular room is 5 feet more than its width. The perimeter of the room is
    11·1 answer
  • A music teacher had six recorders but she decided to buy 4 more boxes with 2 in each box. How many recorders does she have now a
    8·1 answer
  • (-9,7),(9,1) What is the​ point-slope form of the equation of the​ line?
    5·1 answer
  • If 2 lines intersect the system is called...
    6·1 answer
  • Brainly told me to type 20 characters.
    8·2 answers
  • A bottle contains 24.5 oz of water. A leak in the bottle causes it to lose 0.3 oz of water every minute. How many minutes does i
    11·1 answer
  • Find the slope of the line on the graph below
    13·1 answer
  • What is the product of 4 cos<br> 14 (cos(37) + i sin (34) and 2 (cos(5) + sin(5)}?
    13·1 answer
  • I will offer points to whoever can solve my question
    8·2 answers
  • A solid cube measures 5.3 cm on each side. What is the volume of the cube? Do not round your result
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!