On solving the provided question, we can say that So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2
what is cuboid?A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.
(Lateral surface area of cube = 4edge2
lateral surface area of cuboid =2h (l + b)
[tex]2 x 8(12.5+ 10)\\= 16 x 22.5\\= 360\\[/tex]
lateral surface area of the cube is larger by (400
- 360
= 40)cm2
Total surface area of cube = 6edge2
= 600
lateral surface area of cuboid
[tex]=2 (lb + bh + hl)\\2(12.5 x 10+ x 8+8 x 12.5)\\= 2 (125 + 80 + 100)\\= 610[/tex]
So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2
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There is a 10% chance of rain tomorrow a spinner with 10 sections is spun to simulate the probability of rain where spinning a 1 indicates rain if the results are 3,6,1,8 and 3, then what is the difference in the experimental probability from the simulation and the prediction
The experimental probability is 30% higher than the predicted probability.
What is meant by experimental probability?
Experimental Probability: what actually occurs when the experiment is carried out. For example, the probability of getting a head if you flip a coin is ½, since only 2 things could happen (a head or a tail) and each one has an equal chance of occurring.
The spinner has 10 sections and a 10% chance of landing on the section representing rain. Therefore, the probability of rain predicted by the spinner is 0.1 or 10%.
From the simulation, the results are 3, 6, 1, 8, and 3. Out of these 5 spins, 2 of them landed on the section representing rain (1, 3). Therefore, the experimental probability of rain from the simulation is 2/5 or 40%.
The difference between the experimental probability from the simulation and the prediction is the difference between the two percentages, which is:
(experimental probability) - (predicted probability) = 40% - 10% = 30%
Hence, the experimental probability is 30% higher than the predicted probability.
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Which explanation can be used to informally derive the formula for the volume of a cylinder? Responses A cylinder consists of 2 circles on the top and the bottom. Determine the circumference of each circle and add the circumferences together. To get the body of the cylinder, multiply it by the height of the cylinder. A cylinder consists of 2 circles on the top and the bottom. Determine the circumference of each circle and add the circumferences together. To get the body of the cylinder, multiply it by the height of the cylinder. A cylinder is similar to a triangular prism except it does not have edges. The volume of a cylinder can be found by using the volume of a triangular prism. However, instead of using the base length of the triangle, use the radius of the cylinder. A cylinder is similar to a triangular prism except it does not have edges. The volume of a cylinder can be found by using the volume of a triangular prism. However, instead of using the base length of the triangle, use the radius of the cylinder. A cylinder is approximately equivalent to 3.5 spheres of the same radius stacked on top of each other. The volume of a cylinder is the volume of a sphere times 3.5. A cylinder is approximately equivalent to 3.5 spheres of the same radius stacked on top of each other. The volume of a cylinder is the volume of a sphere times 3.5. A cylinder is like a stack of circles. The volume of a cylinder would be the area of the circle times the height of the cylinder. The height of the cylinder represents how many circles are in the stack. A cylinder is like a stack of circles. The volume of a cylinder would be the area of the circle times the height of the cylinder. The height of the cylinder represents how many circles are in the stack.
The explanation can be used to informally derive the formula for the volume of a cylinder, which is the correct answer would be option (D).
What is a cylinder?Usually, a cylinder was a three-dimensional solid, one of the most fundamental curvilinear geometric forms. It is a prism with a circle as its basis in elementary geometry. In some recent fields of geometry and topology, a cylinder can alternatively be defined as an infinite curved surface.
Given that, Which explanation can be used to informally derive the formula for the volume of a cylinder
We know that the volume of a cylinder = πr²h
So, consider option (D).
A cylinder is similar to a circular stack. The volume of the cylinder would be equal to the area of the circle multiplied by the cylinder's height. The height of the cylinder reflects the number of circles in the stack.
Therefore, we get the formula πr²h, where πr² represents the area of the circle and h the height of the circle.
Hence, With this reasoning, we may get the formula for cylinder volume informally.
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2 An experimental airplane is flying at an altitude of 8,000 feet when it begins descending to land. If the plane descends at a constant rate of 125 feet per minute, how long will it take to land the plane? A. Estimate the quotient. Explain how you found your estimate. B. How do you decide where to place the first number in the quotient? C. How long will it take the plane to land? How can you use your estimate to check if your answer is reasonable? 125 8000 500 0
Step-by-step explanation:
Each week Sara's science teacher gives a 15-point quiz.
Her current scores are shown in the table.
What is Sara's mean quiz score?
Answer: Sara's mean quiz score is 12
Step-by-step explanation:
Mean is the Sum of the Terms divided by the number of terms.
If we add up every score we get 60, we then will divide this by how many scores there were (5).
60/5 = 12
What is the definition of a solution give 3 examples of a solution?
A homogenous mixture of two or more components is referred to as a solution.
Solution Examples: Brass is an illustration of a solid solution. Liquid solutions include aqueous hydrochloric acid as an illustration (HCl in water). Air is an illustration of a gaseous solution.
1)When we combine salt (often table salt) and water, we create salt water.
2)By combining sugar and water, sugar water is created.
3)Mouthwash is made up of various chemicals that have been dissolved in water.
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Work out the area of this shape. Give your answer
in cm².
3 cm
4 cm
10 cm
The area of the given shape is 46 cm²
Formulas used:
Area of the triangle = (1/2) × Base × Height
Area of rectangle = Base × Width
Here we have
The composite figure with a right-angled triangle and a rectangle
In a right-angled triangle,
The base of the triangle = 3 cm
Height of the triangle = 4 cm
Area of the triangle
= (1/2) × base × height
= (1/2) × 3 × 4
= (1) × 3 cm × 2 cm
= 6 cm²
In rectangle,
Length of the rectangle = 10 cm
Width of the rectangle = 4 cm
Area of the rectangle
= Length × Width
= 10 cm × 4 cm
= 40 cm²
By the above calculations,
Area of the given figure = Area of triangle + Area of rectangle
= 6 cm² + 40 cm² = 46 cm²
Therefore,
The area of the given shape is 46 cm²
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200 T-hirt have been bought for a Fun Run at a cot of £400 plu VAT at
17. 5%. The cot of entry for the run i £5 per peron. What i the minimum number of entrie needed in order to cover the total cot of the T-hirt?
The minimum number of entries needed in order to cover the total cost of the T-shirts is 94.
What is linear inequality?
A linear inequality is an inequality that can be written in the form of
ax + b > c or ax + b < c or ax + b = c
Where x and y are variables and a,b,c are constants.
The cost of the T-shirts plus VAT is £400 + (17.5/100) * £400 = £400 + £70 = £470
In order to cover the total cost of the T-shirts, you need to find out how much money you will make from the entry fees.
Let's call the number of entries N. The total revenue from the entry fees is N * £5 = £5N
So, in order to cover the cost of the T-shirts, the revenue from the entry fees must be greater than or equal to the cost of the T-shirts plus VAT:
£5N ≥ £470
To find the minimum number of entries needed, you can divide both sides of the inequality by 5:
N ≥ £470 / £5
N ≥ 94
Hence, the minimum number of entries needed in order to cover the total cost of the T-shirts is 94.
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The minimum number of entries needed in order to cover the total cost of the T-shirts is 94.
What is linear inequality?
A linear inequality is an inequality that can be written in the form of
ax + b > c or ax + b < c or ax + b = c
Where x and y are variables and a,b, and c are constants.
The cost of the T-shirts plus VAT is £400 + (17.5/100) * £400 = £400 + £70 = £470
In order to cover the total cost of the T-shirts, you need to find out how much money you will make from the entry fees.
Let's call the number of entries N. The total revenue from the entry fees is N * £5 = £5N
So, in order to cover the cost of the T-shirts, the revenue from the entry fees must be greater than or equal to the cost of the T-shirts plus VAT:
£5N ≥ £470
To find the minimum number of entries needed, you can divide both sides of the inequality by 5:
N ≥ £470 / £5
N ≥ 94
Hence, the minimum number of entries needed in order to cover the total cost of the T-shirts is 94.
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2 The displacement of a mass is given by the function
y = sin 3t. 3t is measured in radians.
The tasks are to:
a) Draw a graph of the displacement y against time t
for the time t = 0s to t = 2.s.
b)
Identify the position of any turning points and
whether they are maxima, minima or points of
inflexion.
c) Calculate the turning points of the function using
differential calculus and show which are maxima,
minima or points of inflexion by using the second
derivative.
Compare your results from parts b and c.
The graph is attached and the point of maximum as y"(π/6) < 0 and at point of minimum y"(π/2) > 0.
What is turning point and inflexion point?An inflection point is where a graph's curvature changes, from concave up to concave down or vice versa. It is also known as a turning point, flex, inflection, or "point of diminishing returns."
A concave down graph resembles an upside-down U or a cap, while a concave up graph resembles the letter U (or a "cup"). The intersection of a "cup" and a "cap" marks the inflection point.
Given displacement of mass by function,
y = sin(3t), where 3t is in radians,
the graph for t = 0 and t = 2 sec.
2: The position of turning point,
differentiate the equation we get,
y' = 3cos(3t)
the turning points are t = π/6 and t = π/2
y'(π/6) = y'(π/2) = 0
3: inflexion points,
again differentiate the equation we get,
y" = -9sin(3t)
and inflection at π/3
because y"(π/3) = 0
Maximum and minimum points are π/6 and π/2 respectively,
as the point of maximum t = π/6 as y"(π/6) < 0,
and point of minimum at t = π/2 as y"(π/2) > 0.
Hence the graph is attached and maximum at t = π/6, and minimum at t = π/2, and inflection at π/3.
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Jack, Marta, Rand, Todd and 6 more students went apple picking. Every two of these 10 students pick a different number of apples. Combined, the ten students pick 45 apples. Suppose Jack and Marta pick a total of 16 apples; Marta and Rand pick a total of 15 apples; Rand and Todd pick a total of 13 apples. How many apples did Todd pick
So, Todd picked 1 apple.
We can use the information given to set up the following equations:
Let x be the number of apples Jack picked, and y be the number of apples Marta picked.
We know that x + y = 16 (Jack and Marta pick a total of 16 apples)
Let y be the number of apples Marta picked, and z be the number of apples Rand picked.
We know that y + z = 15 (Marta and Rand pick a total of 15 apples)
Let z be the number of apples Rand picked, and w be the number of apples Todd picked.
We know that z + w = 13 (Rand and Todd pick a total of 13 apples)
We know that the total number of apples picked is 45, therefore x + y + z + w = 45
We can use the equation x + y = 16 to express x in terms of y:
x = 16 - y
We can substitute this into the other equations
(16 - y) + y = 16
y + z = 15
z + w = 13
We can sum all the equations:
(16 - y) + y + y + z + z + w = 45
16 + 2y + 2z + w = 45
From the equation y + z = 15, we can substitute y = 15 - z
16 + 2(15 - z) + 2z + w = 45
16 + 30 - 2z + 2z + w = 45
46 + w = 45
w = 1
Therefore Todd picked 1 apple.
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Cars enter a car wash at a mean rate of 4 cars per half an hour. What is the probability that, in any hour, exactly 4 cars will enter the car wash? Round your answer to four decimal places.
The probability that exactly 4 cars will enter the car wash in an hour is 0.195
What is the probability that, in any hour, exactly 4 cars will enter the car wash?Generally, This is a Poisson process, where the mean number of cars entering the car wash is 4 cars per hour. The probability of exactly 4 cars entering in an hour is given by the Poisson probability mass function:
P(X = 4) = (e^(-4) * 4^4) / 4!
where e is approximately 2.71828, and 4! is
4 * 3 * 2 * 1 = 24.
Plugging in the values, we get:
P(X = 4) = (2.71828^(-4) * 4^4) / 24
P(X = 4) =0.195
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8.5x + 0.5 + 3.5x - 2x
Answer:
-0.05
Step-by-step explanation:
10x+0.5
10x=-0.5
x=-0.5/10
x=-0.05
Find the value of each expression.
a. 1/4 • (-12)
b. -1/3 • 39
c. (-4/5) • (-75)
d. -2/5 • (-3/4)
e. 8/3• -42
By using simple arithmetic and using calculator we get:
a. 1/4 • (-12) = (-3)
b. -1/3 • 39 = -13
c. (-4/5) • (-75) = 60
d. -2/5 • (-3/4) = 3/10 = 0.3
e. 8/3• -42 = -56
What is arithmetic?Arithmetic is a branch of mathematics that deals with the manipulation of numbers and their properties. It is the study of numbers and the operations that can be performed on them, such as addition, subtraction, multiplication, and division. Arithmetic also includes concepts such as fractions, decimals, and percentages. The study of arithmetic is fundamental to many other branches of mathematics, including algebra, geometry, and calculus, as well as many practical fields like finance, engineering, and computer science.
What is calculator?A calculator is a device that performs mathematical calculations. It can be a handheld device or a software program on a computer or mobile device. Calculators typically have buttons or keys for performing basic arithmetic operations, such as addition, subtraction, multiplication, and division, as well as more advanced functions like trigonometry and logarithms. Some calculators also have the ability to store and recall numbers, perform conversions between units of measurement, and perform other specialized functions.
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You have 140 tomatoes and 13 onions left over from your garden. You want to use these
to make jars of tomato sauce and jars of salsa to sell at a farm stand. A jar of tomato
sauce requires 10 tomatoes and 1 onion, and a jar of salsa requires 5 tomatoes and 1
onion. You will make a profit of $2 on every jar of tomato sauce and a profit of $1.50 on
every jar of salsa sold. The owner of the farm wants at least three times as many jars of
tomato sauce as jars of salsa. How many jars of each should you make to maximize
profit?
3. A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts
of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 4 hours to produce
the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish. Per month, 7000
hours are available for producing the parts, 4000 hours for assembling the parts and 5500
hours for polishing the tables. The profit per unit of T1 is $90 and per unit of T2 is $110.
How many of each type of tables should be produced in order to maximize the total
monthly profit?
1. To maximize the profit :
28 jars of salsa and
0 jars of tomato sauce should be made.
which make maximum profit of $42.
2. In order to maximize the total monthly profit
2300 units of T₁ type table and and
600 units of T₂ type table should be made
which provide maximum profit of $273000.
What is an Inequality?In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.
1. Let x be the numbers of jars of tomato sauce
Let y be the number of jars of salsa sauce
Profit P(x, y)=2x+1.5y
x≥0
y≥0
10x+5y≤140
x + y ≤13
The solution set of the system of inequalities above the vertices of the feasible solution set obtained are shown below.
A at (0,13)
B at (0,28)
C at (14,0)
D at (15,0)
E at (15, -2)
Evaluate profit P(x, y) at each vertex
A at (0,13):P(0,13)=$19.5
B at (0,28):P(0,28)=$42
C at (14,0):P(14,0)=$28
D at (15,0):P(15,0)=$30
E at (15, -2):P(15,-2)=30-3=$27
The maximum profit of $42 is at vertex B.
Which means production of 28 jars of salsa and 0 jars of tomato sauce provides maximum profit of $42.
2. Let x be the number of tables of type T₁
and y the number of tables of type T₂
Profit P(x, y)=90x+110y
x≥0
y≥0
2x+4y≤7000
x+2.5y≤4000
2x+1,5y≤5500
The solution set of the system of inequalities above the vertices of the feasible solution set obtained are shown below.
A at (0,0)
B at (0,1600)
C at (1500,1000)
D at (2300,600)
E at (2750,0)
Evaluate profit P(x, y) at each vertex
A at (0,0):P(0,0)=0
B at (0.1600):P(0,1600)=90(0)+110(1600)=176000
C at (1500,1000):P(1500,1000)=90(2500)+110(1000)=245000
D at (2300,600):P(2300,600)=90(2300)+110(600)=273000
E at (2750,0):P(2750,0)=90(2750)+110(0)=247500
The maximum profit of $273000 is at vertex D.
which means production of 2300 tables of type T₁ and 600 tables of type T₂ makes maximum profit.
1. Hence, maximum profit is made by making
28 jars of salsa and
0 jars of tomato sauce getting
$42 of profit.
2. Hence the company needs to produce
2300 tables of type T₁ and
600 tables of type T₂,
in order to maximize its monthly profit which is equal to $273000.
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1. Write a function that represents the following description:
2.“After 8 hours, a person earned $148 in wages”
3. Write a linear function for the values given in the table below
a) After 8 hours, a person earned $148 in wages.
The function is, $x = 18.5 y
b) The linear function to represent the table is, y = 10x -4
What is Linear Function?A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.
Given:
a) After 8 hours, a person earned $148 in wages.
So, the unit rate change = 148/ 8
= 18.5
So, if y represents the number of hour and $x the wages, then the function is
$x = 18.5 y
b) The unit rate change for the function is
= (56-36)/(6-4)
= 20/ 2
= 10
So, the linear function to represent the table is
y - 36 = 10(x - 4)
y- 36 = 10x - 40
y = 10x -4
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A park recreation manager wants to reshape a square sandbox. The new sandbox will have one side 4 feet longer and the adjacent side 5 feet longer than
sandbox will be 38 square feet greater than the area of the original sandbox.
5 ft
What are the dimensions in ft of the original sandbox
The dimensions of the original sandbox was 2 ft X 2 ft..
Let, The original has a length of Xft and a width of Xft
The area of original sandbox is X^2 ft^2
As per given statement,
The new sandbox would have a length of (X+4)ft and a width of (X+5)ft
So, the area of new sand box would be: (X+4)(X+5) ft^2
Given, the area of new sandbox will be 38 square feet greater than the area of the original sandbox.
so,
X^2+38 = (X+4)(X+5)
or, X^2+38 = X^2 + 9X + 20
Eliminating X^2 from both side
0r, 9X+ 20 = 38
0r, 9X = 18
0r, X = 18/9 = 2
So, we assumes that the original has a length of Xft and a width of Xft
then the dimensions of the original sandbox was 2 ft by 2 ft.
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Find the measure of x.
14
X
48
x = [?]
Answer:
18.84
Step-by-step explanation:
x is the hypotenuse of the triangle.
For the 48° angle, 14 is the opposite leg.
The trigonometric ratio that relates the opposite leg to the hypotenuse is the sine.
sin 48° = opp/hyp
sin 48° = 14/x
x × sin 48° = 14
x = 14/sin 48°
x = 18.84
Last Wednesday two friends met up after school to read a book they were both assigned in literature class. Julie can read 3 pages per minute and she has already resd 9 pages. Cassie who has a reading speed of 2 pages per minute, had read 35 pages. Eventually they had read the same number of pages. How many pages had each of them read? How long did it take?
Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
What are linear equations?
A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.
Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.
We can set up the equation:
x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)
x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)
We know that they read the same number of pages, so we can set the two equations equal to each other:
3t + 9 = 2t + 35
We can then solve for t:
t = 26 minutes
So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:
x = 3t + 9 = 3(26) + 9 = 79 pages
Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
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Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
What are linear equations?
A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.
Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.
We can set up the equation:
x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)
x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)
We know that they read the same number of pages, so we can set the two equations equal to each other:
3t + 9 = 2t + 35
We can then solve for t:
t = 26 minutes
So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:
x = 3t + 9 = 3(26) + 9 = 79 pages
Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
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A stack of 200 file folders is 5. 125 inches tall. A. Elena guesses that each file folder is 0. 035 inches thick. Explain how you know that Elena’s answer is not correct
To know whether Elena is correct or not, you need to find out the height of each stack of file folder.
Assume that all 200 files have the same height.
Let the height of each file folder be m inches.
So, by unitary method the height of each file folder would be,
m = Total height of stack / Number of file folders
here, the total height of stack = 5.125 inches
And the number of file folders = 200
So, m = 5.125 / 200
m = 0.0256 inches
But Elena guesses that each file folder is 0. 035 inches thick.
This means, Elena is wrong as the answer Elena gave is too large than the actual answer.
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Can u please help.........................
The triangle ABC, along with it's image after the reflection x = -3, is given on the graph presented at the end of the answer.
How to obtain the image of the triangle?The coordinates for the original vertices of the triangle are given as follows:
A(-5, -6), B(-4, -3) and C(-3,-7).
The reflection line is given as follows:
x = -3.
The reflection lines is a vertical line, meaning that for the reflected triangle, the y-coordinate remains constant, while the x-coordinate means that the triangles will be on the same distance relative to the reflected line, however on the opposite direction.
Vertex A has a x-coordinate two units left of x = -3, hence the coordinates of the image will be two units right, hence:
A'(-3 + 2, -6) = (-1, -6).
Vertex B has a x-coordinate one unit left of x = -3, hence the coordinates of the image will be one unit right, hence:
B'(-3 + 1, -3) = B'(-2,-3).
Vertex C remains at the same position, as it has a x-coordinate of -3.
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n% of 400 = 150
please HELLPPP
Answer:
150 of 400 can be written as:
150400To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
150400 × 100100= (150 × 100400) × 1100 = 37.5100Therefore, the answer is 37.5%
If you are using a calculator, simply enter 150÷400×100 which will give you 37.5 as the answer.
What does 4 more than mean?
Answer:
+4
Step-by-step explanation:
if x is your number, then x+4 is four more than
Answer:
Answer Below
Step-by-step explanation:
The phrase "4 more than" means 4 has been added onto a number. Eg:"Sue has 4 more sweets than Ann, means that however many sweets Ann has, Sue's number is bigger by 4.
Please help me with this problem.
In the year 1582, January 1st was adopted for the new year celebration
What is an equation?An equation is used to show the relationship between numbers and variables.
Polynomials consist of exponents of variables and numbers forming an equation using operations of addition and subtraction. The degree of a polynomial determines it type such as linear, quadratic, cubic and so on.
The polynomial having a degree of 3 is cubic while that with a degree of 2 is quadratic and that with degree of 1 is linear
The year that January 1st was adopted as new year can be gotten using the function:
f(x) = 3x³ - 7x² - 5x + 7
f(9) gives the year that it was adopted. Substituting x = 9 gives:
f(9) = 3(9)³ - 7(9)² - 5(9) + 7
f(9) = 1582
In the year 1582, the new year was celebrated at January 1st
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Question 12(Multiple Choice Worth 4 points) (02.01 LC) Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country? Simple random sampling, because the people in the sample are accessible and available Stratified sampling, because there are specific subgroups to investigate Systematic sampling, because of the ease in selecting every nth person Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement All the above sampling methods
The option 1 "Simple random sampling, because the people in the sample are accessible and available" is correct for the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country.
In the given question, we have to find which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country.
As we know that, you must carefully consider how you will choose a sample that is representative of the group as a whole if you want to make accurate conclusions from your data. It is known as a sampling method.
Every individual in the population has an equal chance of being chosen in a simple random sample. The entire population should be included in your sampling frame.
You might utilize instruments like random number generators or other methods that just rely on chance to carry out this kind of sampling.
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The complete question is:
Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country?
(1) Simple random sampling, because the people in the sample are accessible and available
(2) Stratified sampling, because there are specific subgroups to investigate
(3) Systematic sampling, because of the ease in selecting every nth person
(4) Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement
(5) All the above sampling methods
Given that a 19. 00 g milk chocolate bar contains 11. 50 g of sugar, calculate the percentage of sugar present in 19. 00 g of milk chocolate bar keeping in mind that the answer should have four significant figures (two decimal places). Express your answer numerically to four significant figures
The percentage sugar of 19. 00 g milk chocolate bar is 60.53%. The value of 60.53 is rounded to two decimal points.
What does mean of two decimal points?
To make decimal values simpler to grasp and utilise in calculations, they are frequently rounded off. The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70. If you look closely, you'll see that we changed 2.83 to 2.84 by adding a single digit to the first number's hundredths position. However, we did not add 1 to the digit at the hundredths place of the second integer (i.e 0).
Given that a chocolate bar with a weight 19.00 gram milk, contains 11. 50 g of sugar.
To find the percentage, we will calculate the amount of suger in 100 gram of chocolate bar in the same ratio..
19.00 gram milk chocolate bar contains 11. 50 g of sugar.
Apply unitary method:
1 gram milk chocolate bar contains 11. 50/19 g of sugar.
100 gram milk chocolate bar contains (11. 50/19) × 100 g of sugar.
= 60.526
The digit at the thousandth place of the number 60.526 is 6 which is more than 5. thus add 1 with the hundredth place digit to round to two decimal places.
60.526 ≈ 60.53
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1. For the three-part question that follows, provide your answer to each question in the given workspace.
Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Part A:
Evaluate the expression 4x² when
S
5
6
Part B:
1
Evaluate the expression 4x² when x =
2
Write the answer as a mixed number if necessary.
Write the answer as a mixed number if necessary.
Part C:
Show all of your work for Parts A and B to justify your answers.
Therefore , the solution of the given problem of function comes out to be x(3x²- 15 ) + 8 / 12x² , Domain : x ∈ R : x≠ 0 and
Domain :[ -∞,0 ] U [ 0,∞].
Function is what?
According to a function's rule, every x value in the domain has one and only one range of y values. Definition. A one-to-one function exists when there is just one and only one value of x such that f(x) = y.
Here,
Part A:
=> 4/6x² - 5x²/4x
=> 8 - 15x + 3x³/12x²
=> 3x³- 15x +8 / 12x²
=> x(3x²- 15 ) + 8 / 12x²
Part B:
Domain : x ∈ R : x≠ 0
Part c:
The function domain at x= 0 Domain :[ -∞,0 ] U [ 0,∞]
Therefore , the solution of the given problem of equation comes out to be x(3x²- 15 ) + 8 / 12x² , Domain : x ∈ R : x≠ 0 and Domain :[ -∞,0 ] U [ 0,∞].
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Task #2: Jack makes $32 when he sells 4 pumpkins. How many pumpkins will he have to sell to make $48? If Jack finds that he has $120 at the end of the day, how many pumpkins did he sell?
Answer:
1. 6
2. 15
Step-by-step explanation:
4 pumpkins: $32
=> 1 pumpkin = 32 : 4 = $8
- He will have to sell 48 : 8 = 6 pumpkins to make $48
- He sold: 120 : 8 = 15 pumpkins that day
x^5 multiplied by x^3 /x^4
Answer:
x^4
Step-by-step explanation:
[tex]x {}^{5} \times \frac{x {}^{3} }{x {}^{4 \\ } } \\ \\ \frac{ {x}^{8} }{x {}^{4} } \\ \\ x {}^{8 \: - \: 4} \\ {x}^{4} [/tex]
What are the factors of a term 5x?
The factors of 5x as calculated from the data given is found to be as 5, x and 1 .
On factorizing 5x we can write it as ,
5 x 1 x x .
Therefore the factors are 5 , 1 and x.
There are some integers which are positive and can divide a number completely leaving no remainders. Such integers are known as factors for a number. If we want to get a product by multiplying two numbers , we will have to multiply two factors. Each number is a multiplier of itself.
The prime factor is the factor of a given number that is also a prime number. Factors are numbers that are multiplied together to produce another number.
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Three vertices of parallelogram ABCD are A(-3,1), B(5, 7) and C(6, 2). Find the coordinates of vertex D
The coordinates of vertex D in the parallelogram ABCD are (7,-3).
What is the relation of vertex in a parallelogram?In a parallelogram, opposite sides are parallel and congruent. Therefore, the vector that goes from vertex A to vertex B is the same as the vector that goes from vertex C to vertex D, and the vector that goes from vertex B to vertex C is the same as the vector that goes from vertex D to vertex A.
The vector from vertex A to vertex B is [tex]< 5-(-3), 7-1 > = < 8,6 >[/tex]
So, the vector from vertex C to vertex D is also [tex]< 8,6 >[/tex]
The vector from vertex B to vertex C is [tex]< 6-5, 2-7 > = < 1,-5 >[/tex]
So, the vector from vertex D to vertex A is also [tex]< 1,-5 >[/tex]
To find the coordinates of vertex D, we can add the vector from vertex C to vertex D to the coordinates of vertex C.
The coordinates of vertex C are (6, 2)
So, the coordinates of vertex D are [tex](6+1, 2-5) = (7, -3)[/tex]
Therefore, the coordinates of vertex D in the parallelogram ABCD are (7,-3).
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer: 5$ for 52 days
Step-by-step explanation: (5 x 52) + 90 = 350