The newspaper staff surveys random students from every grade in the school.
Group sampling
In cluster sampling, a population is divided into clusters, which are smaller groups. They then choose a sample at random from these clusters. Often employed to investigate huge populations, particularly those that are extensively geographically distributed, cluster sampling is a probability sampling technique.
What kind of cluster sampling is that?
Single-stage cluster sampling illustration In order to give education, an NGO wishes to compile a sample of girls from five nearby communities. The NGO selects towns (clusters) at random to create a sample using single-stage sampling and then provides assistance to the girls who are denied schooling in those places.
Learn more about cluster sampling here
brainly.com/question/9910540
#SPJ4
If P = (5, 4), Find:
r90° (P)
Answer:
r90° (P) = (4, -5).
Step-by-step explanation:
The point P is (5, 4). To find the image of P after rotating it 90° counterclockwise, we use the transformation matrix for a 90° counterclockwise rotation:
[[0, -1], [1, 0]]
The coordinates of the image of P after rotating 90° counterclockwise are given by:
[[0, -1], [1, 0]] * [5, 4] = [4, -5]
So, r90° (P) = (4, -5).
I can’t figure out where to put it
The angle be 5x - 12 and 3x - 8 then the value of x = 25.
What is meant by measure of angle?The angle created by the two rays or arms at a shared vertex is known as the angle measure in geometry.
Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet. Angle is derived from the Latin word angulus, which means "corner."
A protractor is a precision tool for measuring angles. Angles are measured in degrees, therefore the term "degree measure." Because one full revolution is equivalent to 360 degrees, it is divided into 360 segments.
Let the two angle be 5x - 12 and 3x - 8
5x + 3x - 12 - 8 = 180
Add similar elements: 5x + 3x = 8x
8x - 12 - 8 = 180
Subtract the numbers: -12 - 8 = -20
8x - 20 = 180
Move 20 to the right side
8x = 200
Divide both sides by 8
= 8x / 8 = 200 / 8
x = 25
Therefore, the value of x = 25.
To learn more about measure of angle refer to:
https://brainly.com/question/25770607
#SPJ1
There are 12 6th grades and s 7th graders on the soccer team. How many students are on the team? write an algebraic expression
Answer:
12 + s
Step-by-step explanation:
You want the total of 6th and 7th graders on the soccer team if there are 12 6th graders and 's' 7th graders on the team.
SumThe sum of 12 and s is written as ...
12 + s
Write an equation for the circle with centre (0, 0), if the given point
lies on its circumference.
a) B(5, -12)
b) Does the point (8,10) lie inside or outside of the circle? Show your work
with calculations.
a) An equation for the circle with centre (0, 0) and point B(5,-12) at circumference is (x)² + (y)² = 13².
b) The point (8,10) lies outside of the circle.
What is equation of circle?
A circle is a closed curve that extends outward from a set point known as the centre, with each point on the curve being equally spaced from the centre. A circle with a (h, k) centre and a radius of r has the equation:
(x-h)² + (y-k)² = r²
The points that lie on the circumference is B(5,-12).
The origin is O(0,0).
The distance from O to B is the radius.
OP² = (x2-x1)² + (y2-y1)²
OP² = (5-0)² + (-12-0)²
OP² = (5)² + (-12)²
OP² = 25 + 144
OP = √169
OP = 13
The radius is 13 units.
The standard equation of a circle is given by -
(x-h)² + (y-k)² = r²
Where (h,k) is the coordinates of center of the circle and r is the radius.
So, after substituting all the values the equation will be -
(x)² + (y)² = 13²
To find if (8,10) lies inside the circle or not, substitute x = 8 and y = 10
(8)² + (10)² = 13²
8 + 10 = 13
18 ≠ 13
Therefore, the (8,10) does not lie inside the circle.
To learn more about equation of circle from the given link
https://brainly.com/question/1506955
#SPJ1
How can you use properties of operations to decide whether or not expressions are equivalent?
Properties of operations that can be used to decide whether or not expressions are equivalent is the use of commutative property of addition.
What is equivalent expression ?An equivalent expression is defined as the expression that gives the same value of result even though they look different.
One of the properties of operations that can be used to show whether or not expressions are equivalent is the use of commutative property of addition.
The commutative property of addition show that when the order of addends are changed, the result of the total summation doesn't change.
Learn more about equivalent here:
https://brainly.com/question/24734894
#SPJ1
Please help! PLEASE GIVE ACTUAL ANSWERS
Answer: write it out then ill answer
Step-by-step explanation:you could at least write it so i know what im answering cuz that shows nothing
Filmore's has a sale on men's clothing. The store
will take an extra 50% off its dress shirts on clearance for a total savings
of 60% to 65%. Shirts that were originally $29.50 to $45.00 will have a
final cost of $11.06 to $16.88. Is the total savings 60% to 65%?
The total savings on the men's clothing is not 60% to 65%
How to determine the range of the total savings?To determine if the total savings is 60% to 65%, we need to calculate the original price of the shirts given the final cost and the percentage of savings.
We start by calculating the original price of the shirts before the extra 50% off clearance:
For a final cost of $11.06, the original price of the shirt would be:Original = $11.06 / (1 - 0.60) = $27.65 i.e. 60% saved
For a final cost of $16.88, the original price of the shirt would be:$16.88 / (1 - 0.65) = $48.23 i.e. 65% saved
Now we need to find the price of the shirts before the extra 50% off clearance
$27.65 / (1-0.5) = $55.30
$48.23 / (1-0.5) = $96.46
The calculated prices of the shirts before the extra 50% off clearance are not between $29.50 to $45.00
Read more about discounts at
https://brainly.com/question/28383863
#SPJ1
What is the exact value of cos 30°? 0 one half radical 2 over 2 radical 3 over 2
The exact value of the trigonometric cosine function cos 30° is √3/2.
In trigonometry, the cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. Using the unit circle, we can find the exact values of the trigonometric functions for angles in degrees or radians. One of the most important concepts in trigonometry is the unit circle.
A special triangle is a 30-60-90 triangle, where one angle is 30 degrees, another angle is 60 degrees, and the last angle is 90 degrees. The ratio of the adjacent side to the hypotenuse in this triangle is √3/2. Therefore, the exact value of cos 30° is √3/2. This means that the cosine of 30 degrees is the ratio of the adjacent side (x) to the hypotenuse (1) in the unit circle where x = √3/2.
Read more about trigonometric ratios:
brainly.com/question/23130410
#SPJ4
show how to write each phrase as multiplication expression. 1 tenth of 3: 1 tenth of 0.3:
The multiplication of the expression 1/10 of 3 and 1/10 of 0.3 will be 0.009.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The expressions are given below.
1/10 of 3 and 1/10 of 0.3
Then the multiplication of the expression is given by putting a cross sign between them. Then we have
⇒ [(1/10) x 3] x [(1/10) x 0.3]
⇒ 0.3 x 0.03
⇒ 0.009
The multiplication of the expression 1/10 of 3 and 1/10 of 0.3 will be 0.009.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
Complete the equation so that it has an infinite solution. 2x-7(x+10)=____ x+____
Please, I need help with filling this empty spaces.
Answer:
8x+7
Step-by-step explanation:
The reason why I say this is because I subtracted 10x from 2x and then you get left with +7 so in conclusion I think the answer would be 8x+7
Goal
Your task is review three banks and to decide which checking/saving account is right for you.
Role
You are to choose three local banks and research what each has to offer.
Audience
You need to convince your parents/guardians it is time to open your own account.
Situation
The challenge involves dealing with different promotional offers and interest rates for different savings accounts.
Product, Performance, and Purpose
You need to develop a list of reasons why you chose this certain bank so that you will feel comfortable (as well as your parents) about opening an account
We choose three local banks after comparing the interest rates offered by these 3 banks.
The first gives out things to consider before opening an account. Comparing the interest rates offered by these 3 institutions is the first step. The second thing is to compare the customer service ratings of these three banks.
Checking the historical growth of all banks is the third point. When picking a bank, make sure that the institution offers a competitive effective rate of interest, prioritizes its clients, and responds quickly to their complaints.
Employees of banks should behave well toward customers. The other thing to keep in mind is that the bank should have continued to grow the prior year.
To learn more about selecting the banks link is here
brainly.com/question/28735590
#SPJ4
if the racetrack publishes that the odds in favor of a horse winning a race are 2 to 4, what is probability that the horse will not win the race?
The probability that the horse will not win the race is 0.5. The result is obtained by subtracting the probability of winning from 1.
How to calculate probability?Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sample spaceWhile, the probability for the opposite event is
P(not A) = 1 - P(A)
If the probability that a horse will win the race is 2/4, find the probability that the horse won't win the race!
The probability that the horse will win the race is
P = 2/4 = 0.5
The probability that the horse will lose is
P = 1 - P(A) = 1 - 0.5 = 0.5
Hence, the horse will lose with the probability of 0.5.
Learn more about probability here:
brainly.com/question/30216875
#SPJ4
Write the opposite of the reciprocal of -2.4
Answer:
0.42
Step-by-step explanation:
- 2.4 = - 12/5
The opposite of the reciprocal of – 2.4 is
+ 5/12 ≈ 0.42
Answer: 5/12
Step-by-step explanation:
if -2.4 in fractions is 12/5 the opposite reciprocal is the fraction and sign fliped which is 5/12
Which choice is a term in this expression? -3x − 7(x + 4) A. -7 B. x + 4 C. -3 D. -3x
FOR 20 POINTS
Answer: The term in this expression is D. -3x
A term in an expression is a single mathematical entity, such as a variable or a constant. In the expression -3x - 7(x + 4), -3x is a term on its own, it is the product of -3 and x, and it doesn't have any other mathematical operation.
-7 is a constant, but it is not a term on its own because it has an operation with another term (x + 4)
(x + 4) is a term as well, it is the sum of x and 4.
So the term in this expression is -3x
Step-by-step explanation:
James has an ice cube tray that makes ice in the shape of spheres rather the cubes. Each sphere of ice a radius of 2cm. One tray makes 6 spheres.
The total volume of ice that the tray can make at one time is 201 cubic centimeters.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. For semicircle the parameter is radius and for cylinder, the parameters are height and radius.
Given that,
Each sphere of ice has a radius of 2 cm
One tray makes 6 spheres
The total volume of each sphere is 33.51 cm³
The tray can hold 6 of these at a time
The volume will be calculated as:-
Volume = 33.5 x 6
Volume = 201 cubic centimeters
Hence, 201 cm³ is the total volume of ice that the tray can make at one time.
To know more about volume follow
https://brainly.com/question/15815405
#SPJ1
How do you calculate the size of each exterior angle?
The size of each exterior angle is given by β = 180° - θ.
To find the size of each interior angle of a regular polygon you need to find the sum of the interior angles first.
If the number of sides is n, then the sum of the interior angles is:
S = 180 (n-2)
This formula derives from the fact that if you draw diagonals from one vertex in the polygon, the number of triangles formed will be 2 less than the number of sides. Each triangle has 180°.
This form of the formula derives from drawing triangles in the polygon by drawing lines from a central point to each vertex. In this way the number of triangles is the same as the number of sides, but the angles at the centre are not required, so 360° is subtracted.
Once you have the sum of all the interior angles you divide by the number of sides to find the size of each interior angle.
Each interior angle of a regular polygon with n sides:
θ = 180°(n-2)/n
Each exterior angle of a regular polygon with n sides:
β = 180° - θ
Thus, the size of each exterior angle is given by β = 180° - θ.
To learn more about angles, visit brainly.com/question/28451077
#SPJ4
Rewrite the following to be in the form y = a(b)^x.
g(x) = 6(2)^x+3
y = 100(5)^x-2
We can rewrite g(x) = 6(2)ˣ⁺³ and y = 100(5)ˣ⁻² in the form y = a(b)ˣ as g(x) = 48(2)ˣ and y = 4(5)ˣ respectively
How to rewrite expressions in the form y = a(b)ˣ?
An exponential function is a mathematical function in which the input, or the variable, is raised to a power.
The most common form of an exponential function is f(x) = eˣ, where e is the base of the natural logarithm and x is the exponent.
In order rewrite g(x) = 6(2)ˣ⁺³ and y = 100(5)ˣ⁻² in the form y = a(b)ˣ, you need to apply your knowledge of indices.
g(x) = 6(2)ˣ⁺³ can be rewritten as:
g(x) = 6(2)ˣ⁺³
g(x) = 6(2)ˣ × 2³
g(x) = 6(2)ˣ × 8
g(x) = 48(2)ˣ
Also, y = 100(5)ˣ⁻² can be rewritten as:
y = 100(5)ˣ⁻²
y = 100(5)ˣ × 5⁻²
y = 100(5)ˣ × (1/5²)
y = 100(5)ˣ × 1/25
y = 4(5)ˣ
Learn more about exponential function on:
brainly.com/question/27161222
#SPJ1
PLEASE HELP ASAP!!!!! Verify that f and g are inverse functions. f(x)=5x+2 and
g(x)=(x-2)/5
The inverse equations are F(x)⁻¹ = ( x - 2 ) / 5and F(x)⁻¹ = 5x + 2.
What is an inverse function?A function is defined as the expression that set up the relationship between the dependent variable and the independent variable. In an inverse function, the value of two variables x and y are interchanged, and then the value of y is given an inverse function.
Given that the two equations are y= 1/2X+10 and y= -8X+3. The value of inverse functions will be calculated by replacing the x and y values and solving for y,
f(x)=5x+2
x = 5y + 2
y = ( x - 2 ) / 5
The inverse of the second equation is calculated as,
g(x)=(x-2)/5
x = ( y - 2 ) / 5
y = 5x + 2
To know more about an inverse function follow
brainly.com/question/3831584
#SPJ1
What is the first x-value when the y-value of equation 2 is higher than the y-value of equation 1? Equation 1: f(x)= 2x^3 + 24x + 2 Equation 2: f(x)= 4^x
The first x-value when the y-value of equation 2 is higher than the y-value of equation 1 will be less than - 0.044.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The equation of the functions is given below.
Equation 1: f(x) = 2x³ + 24x + 2
Equation 2: f(x) = 4ˣ
The graph of the functions is given below.
From the graph, the intersection of the graph is at (-0.044, 0.9407).
The first x-value when the y-value of equation 2 is higher than the y-value of equation 1 will be less than - 0.044.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
8. Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?
Direct And Indirect Proportions
Answer:
She would've traveled 4cm on the map
Step-by-step explanation:
If 1cm=18km in the map and Rashmi drove 72km, we just have to divide 72 by 18 to get the distance she traveled on the map.
72÷18=4
for each arrangement of the ten numbers 1, 4, 7, 10, 13, 16, 19, 22, 25, and 28 around a circle, let $n$ denote the largest of the ten sums obtained by adding three consecutive numbers. what is the smallest value of $n$ that can be obtained?
The smallest value of 'n' that can be obtained by adding three consecutive numbers is 48.
By using Monte-Carlo simulations,
A large class of computational techniques known as "Monte Carlo procedures" or "Monte Carlo experiments" rely on repeated random sampling to get numerical results. The core idea is to leverage randomness to find solutions to issues that, in theory, may be deterministic.
16 22 10 7 28 13 1 19 25 4
7 10 25 13 4 28 16 1 19 22
16 10 22 7 13 28 1 19 25 4
(remember that the numbers are arranged in a circle, rather than the straight line shown here)
The underline number represent the smallest value for n that can be obtained by the summation of three consecutive numbers.
Learn more about Number system:
https://brainly.com/question/29343363
#SPJ4
Penelope has a collection of vintage action figures that is worth $350. If the collection appreciates at a rate of 2.8% per year, which equation represents the value of the collection after 5 years?
Equation represents the value of the collection after 5 years is 350(1.03)³ .
What sort of equation would that be?An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.
Future value with appreciation can be calculated using the following general formula:
V = P(1+r)ⁿ where
V = Future value
P = Present value
r = appreciation rate
n = number of years
Given P = $350 , r= 2.8%=0.03 , n = 3
Now we substitute the given values in the equation to get:
V=350(1+0.03)³
or, V= 350(1.03)³
or, V= 381.5 dollars approximately .
Hence the required equation is V= 350(1.03)³ .
To know more about equation visit:
https://brainly.com/question/28609750
#SPJ1
What is the factor of 4x² 28x 49?
The factors of the given expression 4x² + 28x + 49 is (2x + 7)(2x + 7).
Given polynomial is 4x2 + 28x + 49
Factoring polynomials is done in many ways. The four significant methods of factoring polynomials are as follows.
Method of Common Factors
Grouping Method
Factoring by splitting terms
Factoring Using Algebraic Identities
Let us operate the algebraic identity to factor this.
⇒ 4x² + 28x + 7²
⇒ 4x² + 2(14)(x) + 7²
⇒ (2x)² + 2(2x)(7) + 7²
This is similar to a² + 2ab + b² = (a + b)²
⇒ (2x + 7)²
⇒ (2x + 7)(2x + 7)
To know more about algebraic identity, here
https://brainly.com/question/28853516
#SPJ4
find the sale price: original=$15 discount=5%
Answer:
$14.25
Step-by-step explanation:
5% = 0.05
15 times 0.05 = $0.75
15 - 0.75 = $14.25
So, the sale price is $14.25
Answer:
$14.25
Step-by-step explanation:
5% = 0.05
15 times 0.05 = $0.75
15 - 0.75 = $14.25
So, the sale price is $14.25
How do you find the distance between two lines?
Assume that y = mx+c1 and y = mx+c2 are two parallel lines. D = |(c2-c1)/(1 + m2)| calculates the distance between the lines.
What is meant by parallel lines?Parallel lines are coplanar, infinite straight lines in geometry that don't cross at any point. Planes in the same three-dimensional space that never cross each other are said to be parallel. The minimal distance between two parallel curves prevents them from touching or intersecting. Two lines in the same plane that are equally spaced apart and never cross each other are referred to in geometry as parallel lines. Both vertical and horizontal can be used. A zebra crossing, rows of notebooks, and nearby railroad tracks are just a few instances of parallel lines that we encounter every day.Lines in a plane that consistently have the same separation are said to be parallel. Nothing can cross a parallel line.To learn more about parallel lines refer to:
https://brainly.com/question/26961508
#SPJ1
an arc of $55$ degrees on circle $a$ has the same length as an arc of $40$ degrees on circle $b$. what is the ratio of the area of circle $a$ to the area of circle $b$? express your answer as a common fraction.
The ratio of the area of circle A to the area of circle B expressed in the common fraction is 4/9.
An arc is a portion of the circumference of a circle. The length of an arc is proportional to the radius of the circle and the measure of the angle formed by the arc and the center of the circle. The formula for the length of an arc is:
Arc Length = (Angle Measure / 360) x (Circumference)
In this problem, we are given that the arc of 55 degrees on circle A has the same length as the arc of 40 degrees on circle B. So we can set up the following equation:
(55/360) x (Circumference of A) = (40/360) x (Circumference of B)
We can simplify this equation by canceling out the common factor of 360:
(5/12) x (Circumference of A) = (2/9) x (Circumference of B)
Now we can use the fact that the circumference of a circle is equal to 2π times the radius:
(5/12) x (2π x radius of A) = (2/9) x (2π x radius of B)
We can cross-multiply and divide by 2π to find the ratio of the radii of the two circles:
(5/12) x (radius of A) = (2/9) x (radius of B)
radius of A / radius of B = (2/9) / (5/12) = 12/18 = 2/3
Since the ratio of the areas of two circles is equal to the square of the ratio of their radii, the ratio of the area of circle A to the area of circle B is:
Area of A / Area of B = (radius of A / radius of B)^2 = (2/3)^2 = 4/9
So the ratio of the area of circle A to the area of circle B is 4/9.
Read more about the Arc of the circle:
brainly.com/question/28108430
#SPJ4
Which situation could be represented by -5x3?
A.
the total cost of 3 notebooks that cost $5 each
B.
the change in value of a bank account from 3 purchases of $5 each
C.
the distance traveled by a fish when it swims 5 meters per second for 3 seconds
D.
the change in temperature if it starts at negative 5 degrees and decreases by 3 degrees
The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. if p(chocolate chip) = 18%, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch. a. likely b. unlikely c. equally likely and unlikely d. this value is not possible to represent probability of a chance event.
Answer: Either Likely or This value is not possible to represent probability of a chance event.
Step-by-step explanation:
So, if P = Chocolate Chip cookies, it is 68%, its more then a 50/50 percentage so most kids would **probably** choose Chocolate Chip cookies so it could be likely.
Hope this helps!
The table below shows a proportional relationship between h and j.
Find the constant of proportionality from h to j. Express your answer as a fraction in reduced terms.
The constant of proportionality from h to j is 3.
What is a constant of proportionality?
The constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant. The value of the constant of proportionality depends on the type of proportion between the two given quantities: Direct Variation and Inverse Variation.
Direct Variation: The equation for direct proportionality is y = kx, which shows as x increases, y also increases at the same rate. Example: The cost per item(y) is directly proportional to the number of items(x) purchased, expressed as y ∝ x
Inverse Variation: The equation for the indirect proportionality is y = k/x, which shows that as y increases, x decreases and vice-versa. Example: The speed of a moving vehicle (y) inversely varies as the time taken (x) to cover a certain distance, expressed as y ∝ 1/x
In both cases, k is constant. The value of this constant is called the coefficient of proportionality. The constant of proportionality is also known as the unit rate.
Now
As j=h/3 for the given table or h=3j
that means h is in Direct Variation with j
having constant of proportionality = 3.
To know more about constant of proportionality visit the link
https://brainly.com/question/29126727?referrer=searchResults
#SPJ1
Triangle JKL, with vertices J(2,3), K(7,4), and L(3,9), is drawn inside a rectangle, as
shown below.
What is the area, in square units, of triangle JKL?
Answer:
14.5
Step-by-step explanation:
The area of the rectangle is [tex](5)(6)=30[/tex].
The areas of the three right triangles in the rectangle but not in [tex]\triangle JKL[/tex] are 2.5, 10, and 3.
[tex]\implies [JKL]=30-2.5-10-3=14.5[/tex]