Preston teaches at an international school. After reading an article about the distribution of the world's population by continent, he wanted to test if the distribution of students in his school was similar. He collected information about all 320 students in his school. Here are the results:
Preston wants to perform x^2 goodness-of-fit test to determine if these results suggest that the distribution of students doesn't match the reported distribution.
What is the expected count of students from Australia in Preston's group?
Answers
Answer:
Since there are 320 students, and Preston expects 0.5% of them to be from Australia, the expected count of students from Australia is 0.005 (320) =1.6
The expected count students from Australia is 1.6.
Step-by-step explanation:
The expected count of students from Australia in Preston's group is equal to 1.6.
What is a goodness-of-fit test?A goodness-of-fit test can be defined as a statistical tool that is used to test if sample data fits into a set of observations or distribution from a given population.
This ultimately implies that, a goodness-of-fit test helps to determine whether on not sample data represents the data that are expected in an actual population.
Given the followin data:
Popuation = 320 students.
Expected percent (Preston's group) = 0.5% = 0.005.
Expect count = 0.005 × 320
Expect count = 1.6.
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Related Questions
A triangle has vertices at (3, 2), (-4,4), and (-2,5). What are the coordinates of the vertices of the image
after the translation (x,y) → (x +5, y - 1)?
Prin
The coordinates are (3, 2) →
and (-2,5)
Complete the description of the translation.
The triangle is translated
unit(s) to the right and
unit(s) down.
Answers
Answer:
The triangle is translated 2 units down and 4 units to the right.
Step-by-step explanation:
Point A is at (-1,8) and point B is at (7,3).
What is the midpoint of line segment AB?
Answers
Answer:
( 3, 5.5 )
Step-by-step explanation:
Let,
( x1, y1 ) = ( 7, 3 )
Where,
x1 = 7
y1 = 3
Let,
( x2, y2 ) = ( - 1, 8 )
Where,
x2 = - 1
y2 = 8
Formula : -
Midpoint = ( x1 + x2 ) / 2, ( y1 + y2 ) / 2
Midpoint of AB
= ( - 1 + 7 ) / 2, ( 8 + 3 ) / 2
= 6 / 2, 11 / 2
= ( 3, 11 / 2 )
= ( 3, 5.5 )
Solve for v.
6v – 4v – 3 = 9
V =
= [?]
Answers
Answer: v=6
Step-by-step explanation:
Answer:
6 it's because I did this stuff in 6th grade.
Step-by-step explanation:
2 x ? -3=9. 2 x 6 - 3 = 9
heyy! i’ll give brainliest please help
Answers
Answer:
Ms. Lily Green
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
you need to capitiliz all words because it is a name
A triangle has angles measuring 25 degrees and 45 degrees. What is the measure of the triangle's third angle
Answers
Answer:
110°
Step-by-step explanation:
Let the third angle be x. All the angles in a triangle add up to 180°. From the previous statement, we can write the equation:
25° + 45° + x = 180°
70° + x = 180°
x = 110°
The sum of 5 and y is greater than or equal to 7
Answers
Answer:
5 + y ≥ 7
Step-by-step explanation:
"The sum of 5 and y"
The sum of two items will be the two items added, and in this case, it is 5 and y, or
5 + y.
"Greater than or equal to 7"
Here, use the symbol, ≥, and 7.
≥ 7
Combine those to get the final equation:
5 + y ≥ 7.
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Question 8 of 10
What is the distance between points D and E?
6
4
3
2
D(42)
!
S4 3 2
-1
-1
3 4 5
E (42)
- یہ دن من
4
-5
O A. 5 units
OB. 4 units
O C. 2 units
O D. 6 units
Answers
B. 4 units
To find this you add 2 and -2 as if -2 was positive. Since the x-axis is the same,4, you don't have to do anything.
help me plsssss whoever answers correctly gets brainliest:)
Answers
Answer:
0.6 meters² or 0.6 square meters (basically the same thing but written differently)
Step-by-step explanation:
2.4 x 0.5 = 1.2
1.2/2 = 0.6
Tim asked 128 people whether or not they eat a healthy diet and whether they get regular exercise. The result of Tim's survey are shown in the Venn diagram below. One number is missing from the diagram.
Answers
You are reading an article in your school newspaper
If f(x) = 3x^2 + 4 and g(x) = 2x - 1, what is f(g (x))?
A) 12x^2 - 12x + 7
B) 3x^2 + 2x + 3
C) 12x^2 - 4x + 5
D) 36x^2 - 36x + 9
Answers
Answer:
c just did it
Step-by-step explanation:
Given
PQ 1 PS
mZQPR = 73 – 9°
mZRPS = 4x + 22
Find mZQPR:
87
R.
Р
S
Answers
Answer:
The answer is in the picture.
A triangle is shown.
What is the measure of 2
in degrees?
Answers
Answer:
x+109°=180 °
x=180°-109°
x=71°
Curtis mowed 9 of the yard's 25 grassy patches. Use a proportion to show how many grassy patches he would probably mow out of 60 total.
Answers
Answer:
22 yards
Step-by-step explanation:
9/25 = x/60
cross-multiply:
25x = 540
x = 21.6
4. Gloria makes $750 a week PLUS
3% commission on her sales.
Her sales were $1000 for the week.
How much did Gloria earn for the
week?
Answers
The drawing of a building has a scale of 1 inch to 30 feet. the length is 1.25 inches and the width is 0.75. what is the actual height, in feet, of the building?
Answers
the numbers are 1.25in and the other one is 0.75in.
A rectangle has a length that is 2 greater then its width. The area is 15 square centimeters. what are the dimensions of the rectangular?
length =_____ cm
Width=_____ cm
Answers
9514 1404 393
Answer:
length 5 cmwidth 3 cmStep-by-step explanation:
Your knowledge of multiplication facts tells you 3×5 = 15. Your knowledge of addition facts tells you 3+2 = 5. So, the dimensions 3 cm and 5 cm are the width and length of the rectangle, respectively.
True or False? The quotient to this expression is negative 9/10 ÷ (−6/12) (9/10 and 6/12 are fractions.)
Answers
Answer:
Hello! Your answer is, True
Step-by-step explanation:
Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥
Use the distributive property to factor the expression 25 + 55.
Answers
The basics of Distributive property is
A(B + C) = AB + AC
We can see that its already in the form AB + AC
so lets change to A(B+C)
The factor that can be factored from both is 5
25 + 55 = 5( 5 + 11).
Answer..... 5(5 + 11).
The floor of the school music room is being tiled. The room is shaped like a parallelogram. The parallelogram has a base of 25 feet and a height of 11 feet. Each package of tile will cover 5 square feet. How many packages of tile will be needed to tile the music room floor? A=bh *
Answers
Answer:
Number of tile package need = 55 package of tile
Step-by-step explanation:
Given:
Base of parallelogram = 25 feet
Height of parallelogram = 11 feet
Each package of tile cover = 5 square feet
Find;
Number of tile package need
Computation:
Area of parallelogram = Base of parallelogram x Height of parallelogram
Area of parallelogram = 25 x 11
Area of parallelogram = 275 square feet
Number of tile package need = Area of parallelogram / Each package of tile cover
Number of tile package need = 275 / 5
Number of tile package need = 55 package of tile
Find each sum. (3n2 – 5n + 6) + (–8n2 – 3n – 2) = –11n2 – 8n – 4 –11n2 – 2n + 4 –5n2 – 8n + 4 –5n2 – 2n – 4
Answers
Answer:
-5n² - 8n + 4
Step-by-step explanation:
Given the expression
(3n²– 5n + 6) + (–8n²– 3n – 2)
Expand the bracket
3n²– 5n + 6 –8n²– 3n – 2
Collect the like terms
3n²-8n²-5n– 3n – 2+6
-5n² - 8n + 4
This gives the required result
C: -5n^2 - 8n + 4
The answer to the second question is 4, 11, and 5.
Use a calculator to find the value of the inverse function in radians.
8. tan-(-0.09)
Answers
Answer:
-5.142764558
just put it in the calculator
shift+tan so it will be tan⁻¹
The value of the inverse function in radians is,
⇒ tan⁻¹ (0.09) = 0.0897 radians
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
To find the value of the inverse function in radians.
Here, The inverse function is,
⇒ tan⁻¹ (0.09)
⇒ 0.0897 radians
Thus, The value of the inverse function in radians is,
⇒ tan⁻¹ (0.09) = 0.0897 radians
Learn more about the function visit:
https://brainly.com/question/11624077
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What is the number of the parking space covered by the car?
Answers
Answer:
87
Step-by-step explanation:
Look at it upside down!
The diagram shows a solid triangular prism. Height 6cm width 4cm length 10cm the prism is made from wood with a density of 0.8 g/cm3 work out the mass of this prism
Answers
Answer:
Step-by-step explanation:
The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
What is the volume of a prism?The volume of a prism is the total space occupied by it.
What is the density of a prism?The density of a prism is the mass occupied by the 1 cubic unit volume of the prism. The formula for the density of a prism is:
Density = Mass/Volume
How do we solve the given question?In the question, we are given a triangular prism of height 6cm, width 4cm, and length 10cm. Its density is given as 0.8 g/cm³.
We first find the volume of the prism.
The volume = Area of triangle*length = ((1/2)*6*4)*10 cm³ = 120 cm³.
Let the mass of the prism be m grams.
We know the density of the prism is given by the formula,
Density = Mass/Volume
or, 0.8 = m/120
or, m = 120*0.8
or, m = 96
∴ The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
Learn more about density at
https://brainly.com/question/1354972
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please help w this question! would appreciate if you explained how you got it but its okay if you don't
Answers
Answer:
22
Step-by-step explanation:
49 (the whole length of the angle) - 27 (part of the angle) = 22 (the other part)
9:14=a:7
Find a pls help me
Answers
A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spheres?
The volume of the larger sphere is _____π cubic inches greater than the volume of the smaller sphere.
Answers
Answer:
1332 will be the correct answer...
Step-by-step explanation:
first sphere:2304π
second sphere:972π
2304π - 972π = 1332π
Answer:
Solution given;
for sphere
radius [r]:12inches
another
radius [R]:9inches
Now
difference in volume of sphere:
volume of sphere of having radius [r-R]
=[tex] \frac{4}{3} πr³[/tex]-[tex] \frac{4}{3} πR³[/tex]
=[tex] \frac{4}{3} π[/tex](12³-9³)
= 1332π cubic inches
The volume of the larger sphere is ___1332__π cubic inches greater than the volume of the smaller sphere.
AB is parallel to ED.
ACD and BCE are straight lines.
AB = 8 cm
AC = 4.8cm
BC = 6.4cm
ED = 20 cm
Work out the length of BE.
Answers
Answer:
BE = 22.4 cm
Step-by-step explanation:
Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is
[tex]\frac{CB}{CE}[/tex] = [tex]\frac{AB}{DE}[/tex] , substitute values
[tex]\frac{6.4}{CE}[/tex] = [tex]\frac{8}{20}[/tex] ( cross- multiply )
8 CE = 128 ( divide both sides by 8 )
CE = 16 cm
Then
BE = BC + CE = 6.4 + 16 = 22.4 cm
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Answers
Answer: the answer to this is "C: 1/3"
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Hope this helps and can I get a brainliest since you said you would.
what is the answer? help
Answers
Answer:
close to (4, 2)
Step-by-step explanation:
please answer question 4
Answers
They reject if the pie is more than 3.2oz from 28oz.
The scale shows positive number if its more than 28oz.
The scale shows negative number if its less than 28oz.
The scale shows zero if its 28oz.
A . Scale reads -2.8oz which means less than 28oz, So accepted.
B. Scale reads 3.5oz which means 3.5oz more than 28oz. So rejected.
C. Scale reads -3.3oz which means less than 28oz, So accepted.
D. Scale reads 28oz which means more than 28oz, So rejected.