The correct option is option (C) .
Cluster Sampling is a type of probability sampling and other options are non- probability sampling examples .
Sampling :
Sampling is defined as a technique that selects individual members or subsets from a population to help determine characteristics of the population as a whole.
Croach and Housden postulate that a sample is a finite number taken from a large group for testing and analysis, and that the sample can be taken as representative of the group as a whole.
There are two main types of sampling:
i) probability sampling
ii) Non-probability sampling
A) probability sampling:
It is defined as the sampling technique which researchers use a related method to draw probability theory samples from a larger population.
The most important requirement for probabilistic sampling is that everyone in the population has a known equal chance of being selected.
Probability Samples:
1. Stratified Sampling: Stratified sampling is a type of sampling technique that divides the total population into smaller groups or strata to complete the sampling process. Hierarchies are formed based on some common characteristics of demographic data.
2. Cluster Sampling: Cluster sampling is a probabilistic sampling technique in which researchers divide a population into multiple groups (clusters) for research purposes. Researchers then select random groups using simple sampling techniques for data collection and data analysis.
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A rectangular piece of wood measures 2.4 m by 60 cm by 80cm and has a mass of 32.5kg.
What is the density of the piece of wood?
( nearest 3 decimal places)
Answer:
0.282kg/m3
Step-by-step explanation:
density=mass/volume
mass=32.5kg
volume=lxbxh
volume=2.4mx60cmx80cm
convert 60cm and 80cm to m:
60cm=6m
80cm=8m
volume= 2.4mx6mx8m
volume=115.2m3
density=32.5/115.2m3
density=0.28211kg/m3
round to nearest three decimal places:
= 0.282kg/m3
Use the table to answer questions 9&10
Find constant k=
If you earned $17,500 how many monthes did you work for
The constant, k is $2500 and 7 months of work will be needed to earn $17,500.
According to the question,
We have the following information:
We have a table where months and the salary in dollars is given.
Now, the salary is increasing constantly with number of months.
So, we have the following expression:
9) Amount of dollars is directly proportional to number of months.
Dollars = k*months
2500 = k*1
k = 2500
10) Now, the amount given is $17,500.
So, we have:
k*months = 17,500
Months = 17500/2500
Months = 7
Hence, the constant, k is $2500 and 7 months of work will be needed to earn $17,500.
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A group of friend wnat to go to the amuement park. They have no more than $110 to pend on parking and admiion. Parking i $8 and ticket cot $23 per peron including tax
Inequality: 23x + $8 ≤ $110
Inequality:
$110 = Amount of money they have
$8 = Parking Cost
$23 = Cost of tickets per person
23x + $8 ≤ $110
23x=$110-8
23x=$102
In mathematics, a courting among expressions or values that aren't the same as every other is referred to as 'inequality. This term is used to examine the significance, wide variety, and intensity of two values or expressions. Equations and inequalities are both mathematical sentences fashioned by using referring to two expressions for every difference. In an equation, the two expressions are deemed equal's shown with the aid of the symbol =.
whereas in inequality, the two expressions aren't necessarily the same that's indicated by means of the symbols: >, <, ≤ or ≥. Inequality is critical to poverty due to the fact the relative role of people or families in society is taken into consideration as a crucial aspect of their welfare.
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The volume of a cylinder is 300 cm³. What would be the volume of a cone which has the
same radius and depth?
The volume of a cone having the same radius and same height as that of the cylinder is equal to 100 cm³.
Given that:
The volume of a cylinder is 300 cm³.
We assume that,
The radius of the cylinder = radius of the cone = r cm.
Height of cylinder = height of cone = h cm.
We have to find the volume of a cone having the same radius and same height as that of the cylinder.
The formula for the volume of a cylinder is = π x radius² x height
The formula for the volume of a cylinder is = πr²h cm³ = 300 cm³ ..... (1)
We know that,
The formula for the volume of cone = (1/3) x π x (radius)² x h
Volume of cone = (1/3) x π x (radius)² x h
Volume of cone = (1/3) x (πr²h)
Putting the value of πr²h from equation (1).
Volume of cone = (1/3) * 300
Hence, the volume of the cone is equal to 100 cm³.
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Factor the perfect-square trinomial in y = (x2 2x 1) − 1− 1. y = (x )2 − 1 −1
Answer:x
2
−
2
x
+
1
=
x
2
−
2
x
+
1
2
=
(
x
−
1
)
2
A perfect square trinomial is the square of a binomial, so will take the form:
a
2
+
2
a
b
+
b
2
since
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
So a perfect square trinomial satisfies the following conditions:
(1) Two of the terms are squares.
(2) The other term is twice the product of the square roots (positive or negative) of the other two terms.
If the two square terms are
a
2
and
b
2
then the trinomial is either
(
a
+
b
)
2
or
(
a
−
b
)
2
depending on the sign of the third term.
Find the smaller angles between the hour hand and the minute hand of a clock at half past 8
The angle of half past eight between the hour and minute hands of a clock is 255°.
Given that,
We have to find look for the smaller angles half past eight between the hour and minute hands of a clock.
We know that,
The clock is in circle.
A clock has 12 different parts. Between any two divisions, there is a 30° angle. Each division is then divided into 5 equal pieces, each of which is divided by an angle of 60° and equals 1 minute.
We know the total angle of the circle is 360°.
So, 12 hours is 360°.
Then 1 hours is
1 hour= 360/12=30°
So, 1 hour is 30°
60mins=1 hour
60 mins = 30°
1 min =30/60
1 min=1/2
So,
8 hour and 30 min
(8× 1 hour)+( 30×1 min)
(8×30)+(30×1/2)
240+15
255°
Therefore, The angle of half past eight between the hour and minute hands of a clock is 255°.
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What is the series sum calculator?
Answer:
Series calculator is a free online tool that gives the summation value of the given function for the given limits.
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HELP FAST PLSS!! what is the slope of this line?!
Answer:
2\3
Step-by-step explanation:
Hope this helps!!
find two positive numbers such that the sum of the first and twice the second is 120, and their product is a maximum. as your answer, please input the maximal value of the product.
The sum of two positive numbers is 120. The product of those numbers will be maximum if both numbers are equal to 60 and the maximum value is 3600.
Suppose we have a function f(x). At the extreme point (maximum/minimum), it holds:
f ' (x) = 0
In the given problem, let the two numbers be a and b. Then,
a + b = 120 or
a = 120 - b (equation 1)
f(b) = a x b = (120 - b) x b
f(b) = -b² + 120b
At the maximum point, the derivative with respect to b is zero,
f ' (b) = 0
-2b + 120 = 0
b = 120 / 2 = 60
Substitute b = 60 to equation 1,
a = 120 - 60 = 60
Hence, the two numbers that give maximal value of the product is 60 and 60. The product is 60 x 60 = 3600.
We can conclude that the maximum value of the product of those two numbers is 3600.
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problem 1 use polar coordinates for finding dxda, where d is the region in the first quadrant that lies between the circles x2 y2
The first quadrant that lies between the circle x² + y² =4 is 1.09587
The graph of x² +y² = 4 is a circle of radius 2, centered at (0, 0). In polar coordinates, this equation becomes simply r = 0.
The second equation requires a bit more work. To convert it to a polar equation, we
substitute, r cos θ for x and r sin θ for y:
r²cos ²θ + r²sin ²θ
= 2r cos Ф
⇒r² = 2r cos θ
⇒r = 2 cos θ
This is the polar equation for a circle of radius 1, centered at the point (x, y) = (1, 0). (This can be seen directly from the original equation by completing the square, which results in the equation (x − 1)²+ y² = 1.)
To describe the region between the circles in polar coordinates, we can let θ range from 0 to π/2. Our values for r should range from the smaller circle to the larger one
Recalling again that x = r cos θ and dA = rdrdθ, our integral becomes
∫ ∫ₐ x DA = 8/3 - π/2
We can get a rough check of this answer as follows. The area of the region D is easily computed to be π/2. The average value of the function x in the region is somewhat less than 1, since D is thicker on the left. Doing these sorts of visual estimates can be very tricky, but let’s say the average value of x in D is about 0.70. Thus
∫∫ₐ x dA ∼=π/2· 0.70 ∼= 1.09956
Since 8/3 − π/ 2∼= 1.09587, this estimate agrees quite well with our answer.
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Find the length of the third side. If necessary, round to the nearest tenth.
13
15
The length of the third side of the triangle is 2√14 units.
According to the question,
We have the following information:
Note that the complete question will be related to the right angled triangle with hypotenuse 15 units and perpendicular 13 units.
(More to know: Pythagoras theorem can only be used in right-angled triangle.)
We can use the Pythagoras theorem to find the base of the right-angled triangle.
Let's denote the base with b, perpendicular with p and hypotenuse with h.
[tex]b^{2} = h^{2}- p^{2}[/tex]
[tex]b^{2} = 15^{2} -13^{2}[/tex]
[tex]b^{2} }[/tex] = 225-169
b = √56
b = 2√14 units
Hence, the length of the third side of the triangle is 2√14 units.
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2² - 12z+c
Find the value of c.
Step-by-step explanation:
2² - 12z +c
4 -12z + c
c = -4+12z
Aquarium a contains 4. 6 gallons of water. Louise will begin filling aquarium a at a rate of 1. 2 gallons per minute. Aquarium b contains 54. 6 gallons of water. Isaac will begin draining aquarium b at a rate of 0. 8 gallon per minute. After how many minutes will both aquariums contain the same amount of water and what will be the amount of water in each aquarium?.
After 25 minutes will both aquariums contain the same amount of water.
Given:
Aquarium a contains 4. 6 gallons of water. Louise will begin filling aquarium a at a rate of 1. 2 gallons per minute. Aquarium b contains 54. 6 gallons of water. Isaac will begin draining aquarium b at a rate of 0. 8 gallon per minute.
Let y be the minutes
A(y) = 4.6 + 1.2y
B(x) = 54.6 - 0.8y
Same amount of water:
A(x) = B(x)
4.6 + 1.2y = 54.6 - 0.8y
1.2y + 0.8 y = 54.6 - 4.6
2y = 50
divide by 2 on both sides
2y/2 = 50/2
y = 25 minutes.
Therefore after 25 minutes will both aquariums contain the same amount of water.
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how to read 8990 in decimal?
ONe tens decimal tenths Hundredths Thousandths Ten thousandths
Answer:
The answer has to be 8.999
a factory makes and sells cartons of chewing gum. the factory produces at most 500 cartons per day. each carton sells for $25. which of the following best describes the domain of the function that represents f(x), the total sales in dollars, for making x cartons in one day? a. the domain is the set of all whole numbers . b. the domain is the set of all real numbers . c. the domain is the set of all real numbers . d. the domain is the set of all multiples of 25 from .
A function's domain is defined as the set of all possible input values. The domain here is 0 ≤ x ≤ 500 because the input value is x.
Given;
Let x be the overall number of cartons produced in a single day. due to the factory's daily production limit of 500 cartons.
Let P(x) denote the revenue generated by the sale of x cartons. Since a carton costs $25, the following follows;
P(x) = 25x
P(0) = 25(0) = 0 for x = 0
P(500) = 25(500) = 12500 when x = 500
The following are possible values for P(x);
0 ≤ P(x) ≤ 12500
Therefore, the collection of all potential input values is referred to as a function's domain. Since the input value in this instance is x, the domain is 0 ≤ x ≤ 500
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(50 points) Write the expression in exponential form: [tex](\sqrt{10} )^3[/tex]
The exponential form is [tex]10^\frac{3}{2}= \sqrt{1000}[/tex].
Given expression is [tex](\sqrt{10})^3[/tex]
We know that
[tex](\sqrt{x})^n = x^\frac{n}{2}[/tex]
Therefore, [tex](\sqrt[]{10})^3 = 10^\frac{3}{2}[/tex]
Now, let's simplify the exponential form of this expression.
We know that [tex]a^\frac{m}{n} = nth root of a^m[/tex]
Therefore,
[tex]10^\frac{3}{2} =(\sqrt{10})^3[/tex]
[tex]10^\frac{3}{2}= \sqrt{1000}[/tex]
Hence, the exponential form of the expression [tex](\sqrt{10})^3[/tex] is [tex]10^\frac{3}{2}= \sqrt{1000}[/tex] which simplifies to [tex]10^\frac{3}{2}[/tex].
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Finding Angle Measures When Parallel Lines Are Cut By a Transversal
The measures of the following angles are:
∠6 = 124°, ∠2 =124°, ∠3 = 124° ∠5 = 56°, ∠7 = 124° ∠1 = 56°
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
∠4 = 56° ( corresponding angles are equal)
∠1 =∠4 ( vertically opposite angles are equal)
∠1 = 56°
∠7 + 56° = 180 ( angles on a straight line sum up to 180°)
∠7 = 180 - 56
∠7 = 124°
∠7 = ∠6 ( vertically opposite angle are equal)
∠6 = 124°
∠3 = ∠6 ( alternate angles are equal)
∠3 = 124°
∠2 = ∠3 ( vertically opposite angle)
∠2 = 124°
∠5 = 56° ( vertically opposite angles)
The unknown angles are: ∠1 = 56° ∠2 = 124°, ∠3 = 124°, ∠4 = 56°, ∠5 = 56°, ∠6 = 124° ∠7 = 124°
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Finding Angle Measures When Parallel Lines Are Cut By a Transversal
Answer:
<8, <1, <4 are all 96
<6,<7,<3, <2 are all 84
Step-by-step explanation:
solve each problem using elimination
-7x-y=-27
-14x+10y=18
Answer:
y=6 x=3
Step-by-step explanation:
−2(−7x−y=−27)
1(−14x+10y=18)
14x+2y=54
−14x+10y=18
12y=72
y=6
−7x−y=−27
−7x−6=−27
−7x=−21
x=3
) Work out (6 x 10²) + (3 x 10^5) Give your answer in standard form.
1: In his job as a cashier, Joe makes $500 each month plus $20 every time he convinces a customer to open a charge account at the store.
a. write the equation that describes Joe’s monthly income I as a function of n, the number of accounts that Joe solicits. Name the form of equation you wrote and why you chose to use that form.
b. This function is:
linear
exponential
c. This function is:
continuous
discrete
The equation that describes Joe’s monthly income is I = 500 + 20n. This function is Linear and discrete.
Joe makes each month = $500
The extra income per account he solicits = $20
No. of accounts he solicits = n
Income, I = 500 + 20n
It's a linear and discrete function.
A linear function in mathematics is one that has either one or two variables and no exponents. On a graph, it creates a straight line.
When the domain and range of a function are discrete sets of values rather than intervals, the function is said to be discrete.
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Callie ha a rope that i 14.7 inche long. She cut the rope into 3 piece. If each piece i the ame length, how long i each piece of rope?
Answer:
I believe it would be 4.9 inches
Step-by-step explanation:
14.7 divided by 3
Answer: 4.9 inches
Step-by-step explanation: 14.7 divided by 3 is 4.9
Martin has to drive to Alabama for a conference next week for a civil rights protest. He sees that he will need to drive 180 miles per day to reach the protest in time. If he already drove 20 miles to his hotel. Which equation represent his miles, m, to his days, d?
Answer:
m = 180d -20
Step-by-step explanation:
m = miles
d = days
(3.45 x 10^3)+ (6.11 x10^3
a.9.56 x 10^3
b.9.56 x 10^6
c.95.6 x 10^3
d.95.6 x 10^6
Answer:
a. 9.56 × 10^3
Step-by-step explanation:
You want the sum (3.45 × 10^3)+ (6.11 ×10^3).
Distributive property
The distributive property works when adding numbers in scientific notation:
(3.45 × 10^3)+ (6.11 × 10^3) = (3.45 +6.11) × 10^3 = 9.56 × 10^3
PLEASE complete the essay parts for me
Explain your reasoning for selecting the answer that you did in the above problem
Explain your reasoning for selecting the answer that you did in the above problem
Explain your reasoning for selecting the answer that you did in the above problem
Explain your reasoning for selecting the answer that you did in the above problem
Please explain why the AAA theorem doesn't work to prove triangles congruent. :)
The congruency postulates for the given triangles are;
1) ASA Congruency postulate.
2) SSS congruency postulate.
3) AAS congruency postulate.
4) SAS Congruency postulate.
5) Triangles are not congruent
How to Interpret Congruency Postulates?
There are different triangle congruency postulates such as AAS, ASA, SSS, SAS, RHS.
1) We are given 2 corresponding angles and the included congruent side and as such, the congruency rule here is ASA Congruency postulate.
2) We are given 3 corresponding congruent sides for both given triangles and as such we can say that the triangle congruence postulate here is SSS congruency postulate.
3) We are given 2 corresponding angles and the non-included congruent side and as such, the congruency rule here is AAS Congruency postulate.
4) We are given two congruent sides and the include congruent angle and as such the congruency rule here is SAS Congruency postulate.
5) We are given three congruent angles but there is no mention of any of the sides being congruent and as such the triangles are not congruent.
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A 236-inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
let length of one piece = x
length of other piece = 236-x
one piece is three times the length of the other
x=3(236-x)
x=708-3x
4x=708
x=177
so first piece is 177 inches long and second piece is (236-177)= 59 inches long
Answer:
first piece is 177 inches long and second piece is (236-177)= 59 inches long
Step-by-step explanation:
x=3(236-x)
x=708-3x
4x=708
x=177
The world's largest brownie had a mass of 106,200 grams. The serving size for a brownie is 35 grams. How many servings were in the world's largest brownie?
Enter the correct answer in the box. Round to the nearest whole number.
Answer:
3034 grams
Step-by-step explanation:
to find one serving divide the total grams by grams per serving:
106200/35
=3034.28571429=3034(rounded to nearest whole number)
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Tamisha gave the store clerk $40.00 to pay for 2 pairs of leggings. The store clerk gave her
$7.12 in change. Each pair of leggings costs the same amount.
What is the cost in dollars and
cents for each pair of leggings?
Answer:23
Step-by-step explanation:
Can someone help me with this
1. Select all transformations that do not result in mapping (a,-a) to (a, a) when a > 0.
A reflection in the y-axis
B reflection in the x-axis
translation 2a units up
D translation a units up, followed by a reflection in the line y = a
translation
a units up, followed by a reflection in the line y = 2
Reflection in the x-axis and translation 2a units up, translation a units up, followed by a reflection in the line y = a translation a units up, followed by a reflection in the line y = 2
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.
transformations that do not result in mapping (a,-a) to (a, a) when a > 0. are
reflection in the x-axis and translation 2a units up, translation a units up, followed by a reflection in the line y = a translation a units up, followed by a reflection in the line y = 2
Hence reflection in the x-axis and translation 2a units up, translation a units up, followed by a reflection in the line y = a translation a units up, followed by a reflection in the line y = 2
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