Answers
The easiest way to determine the mode of any data set, is to figure out which number appears most frequently, or most common.
You can take all of the numbers and count how many times each number appears. The number that appears the most is called the mode.
In the first pie chart (Group A), we can see that the orange piece is the biggest, therefore the most common. The orange piece has equal value to 4.
In the next group (Group B), we can determine the mode by looking at the highest bar, which would be 5.
4 is less than 5, which means that the answer to this question would be Group A.
Related Questions
A sphere has a radius of 24 centimeters. What is its volume?
V
=
Cm^3
Answers
Hello there!
Answer:
[tex]V = 18432\pi[/tex] or approximately 57876.48
Step-by-step explanation:
[tex]V = \frac{4}{3} \pi R^{3}[/tex]
R = 24
[tex]V = \frac{4}{3} \pi *24^{3} = 18432\pi[/tex]
if [tex]\pi =3.14[/tex] then:
[tex]V = 57 876.48[/tex]
[tex]343^{-4/3}[/tex]simplify
Answers
The value of the expression [tex]343^{-4/3}[/tex] is 1/2401.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]343^{-4/3}[/tex]
This can be written as,
1/[tex]343^{4/3}[/tex]
343 = 7³
= 1/[tex]7^{3\times4/3}[/tex]
= 1/[tex]7^4[/tex]
[tex]7^4[/tex] = 7 x 7 x 7 x 7 = 49 x 49 = 2401
= 1/2401
Thus,
The value of the expression is 1/2401.
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Becky is able to run up a 3. 00 m high flight of stairs in 2. 5 s if she has a mass of 50 kg how much power did she develop during her run up the stairs how long will it take becky in question 6 to run up a flight of stairs 4. 5 m high?
Answers
With a mass of 50 kg, Becky used 588 watts power to sprint up a 3.0 m high set of stairs in 2. 5 seconds. She is able to run up a 4.5 m high flight of stairs in 3.75 s.
How do you calculate power going up stairs?Work (in joules) equals your weight (in newtons) x the height of the stairs (in meters.) The power you now possess is equal to the sum of your labor times the duration of that labor, or: Work (measured in joules) divided by time equals power, measured in watts (in seconds.)
Given that mass of Becky is 50 Kg
gravity of earth is 9.8 m/s²
height of stairs is 3.0 m
time taken to run up in stairs is 2.5 s
Power = work done/ time taken
P = (50*9.8*3.0)/2.5
P = 1470/2.5
P = 588 watt
Becky is able to run up a 3.0 m high flight of stairs in 2.5 s
She is able to run up a 4.5 m high flight of stairs in t = (2.5 * 4.5)/3
t = 11.25/3
t = 3.75 s
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A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.1x²-22x+11,599. How many machines must be made to
minimize the unit cost?
Do not round your answer.
Answers
The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
What is Quadratic Equation?
Quadratic equation can be defined as the equation which is in the form of ax^2 +bx +x = 0.
where a,b,c are constants.
Given ,
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.1
b = -22
c = 11599
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
= -(-22) / 2*0.1
=22/0.2
= 110
Plugging this value into original function would give us the minimum (unit cost):
C(x) = 0.1 x ^2 - 22x +11599
C(x) = 0.1(110*110) - 22(110)+11599
C(x) = 110(11-22) + 11,599
C(x) = -11(110) + 11599
C(x) = -1210 + 11599
C(x) = 10,389
Hence , The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
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What is the log value of log2?
Answers
The log value of log2 is 1Log2 is defined as the logarithm base 2. This means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x.
In other words, log2(x) = y, where 2^y = x.
Therefore, when x = 2, 2^y = 2. This means that the logarithm of 2 is equal to 1, since 2^1 = 2.
Therefore, the log value of log2 is 1.
Log2 is an important mathematical concept that is used to calculate the logarithm of a number. Logarithms are used in a variety of fields, including mathematics, physics, engineering, and computer science. Log2 is the logarithm with a base of 2, which means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x. To calculate log2 of a number, the formula is log2(x) = y, where 2^y = x. This means that the logarithm of 2 is equal to 1, since 2^1 = 2. Therefore, the log value of log2 is 1. Log2 is often used to calculate logarithms of numbers that are not powers of 2, such as log2(3) = 1.5849. Log2 can also be used to calculate logarithms of numbers with decimals, such as log2(1.5) = 0.5849. Log2 can also be used to calculate exponents, such as 2^3 = 8.
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Find the flux of F across S,
F. N dS
where N is the upward unit normal vector to S.
F(x, y, z) = xi + yj + zk
S: z = 1 − x^2 − y^2, z ≥ 0
Answers
The flux of F across S will be [tex]\frac{3\Pi}{2}[/tex]
A vector of magnitude 1 that is at some point perpendicular to a two-dimensional curve is referred to as the unit normal vector. Normally, you search for a function that returns not just one vector but all potential unit normal vectors of a given curve.
A vector that is perpendicular to a surface at a certain location is known as the normal vector, also referred to as the "normal" to a surface. The inward-pointing normal (pointing toward the interior of the surface) and outward-pointing normal are often distinguished when normals are taken into consideration on closed surfaces.
[tex]$Z_x=-2 x: \quad Z_y=-2 y$[/tex]
[tex]$N=\langle 2 x, 2 y, 1\rangle \quad: f=\langle x, y, z\rangle$[/tex]
[tex]f. $N=2 x^2+2 y^2+z=2 x^2+2 y^2+1-x^2-y^2$[/tex]
=1+x^2+y^2
[tex]x^2+y^2=1\\ \Rightarrow \quad x=r \cos \theta\\ \Rightarrow \quad y=r \sin \theta \\ \Rightarrow x^2+y^2=r^2 \\ 0 < r < 1: \quad 0 < \theta < 2 \pi[/tex]
[tex]$R \cdot v=\int_0^{2 \pi} \int_0^1\left(1+r^2\right)(r) dr d \theta$[/tex]
[tex]$=2 \pi \int_0^1 r+r^3 d r$[/tex]
[tex]$2 \pi\left[\frac{r^2}{2}+\frac{r^4}{4}\right]_0^1$[/tex]
[tex]$=(2 \pi)\left(\frac{1}{2}+\frac{1}{4}\right)$[/tex]
[tex]$=\frac{(2 \pi)(3)}{42}=\frac{3 \pi}{2}$[/tex]
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Pls help 1-6 example at the SIDE
Answers
2.) |-2|=2
3.) |4|=4
4.) -|-10|=-10
5.) |-2|, |-3|, |10|
6.) |0|, |-5|, |-7|
Find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π
Answers
The area of the shaded regions is 4π + 4, which can be obtained by subtracting 2π - 4 from 3π. This is an exact value, with no further simplification required.
Step 1: Calculate the area of the entire circle.
A = πr^2
A = π(5)^2
A = 25π
Step 2: Calculate the area of the unshaded region.
A = πr^2
A = π(2)^2
A = 4π
Step 3: Subtract the area of the unshaded region from the area of the entire circle.
A = 25π - 4π
A = 21π
Step 4: Calculate the area of the shaded region.
A = 21π - (2π - 4)
A = 21π - 2π + 4
A = 19π + 4
A = 4π + 4
The area of the shaded regions can be found by subtracting the area of the unshaded region from the area of the entire circle. To find the area of the entire circle, we use the formula A = πr^2, where r is the radius of the circle. Plugging in r = 5, we get A = 25π. To find the area of the unshaded region, we use the same formula, but now with r = 2. This gives us A = 4π. Subtracting the area of the unshaded region from the area of the entire circle gives us A = 21π. We then subtract 2π - 4 from 21π to get the area of the shaded region, which is 4π + 4. This is an exact value, with no further simplification required.
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George is creating a garden with
an area of 300 square feet. He's
trying to decide if he should make
the garden 20 feet long and 15
feet wide OR 30 feet long and 10
1 feet wide. Which measurements
would use less fencing?
Answers
If George is trying to fence the garden with less fences possible between the two options given in the question, the first option of measurements i.e 20 feet long and 15 feet wide would take less fencing.
What is perimeter of a rectangle?It is the entire distance encircled on all sides by the rectangle.One of the key equations for the rectangle might be regarded to be its perimeter.
What is the formula for calculating the perimeter of a rectangle?The formula for calculating the perimeter of a rectangle is :
P = 2*l + 2 *b where , l and b are the length and breadth of the rectangle.
For the first option, where the garden is 20 feet long and 15 feet wide, the perimeter would be 20+20+15+15 = 70 feet.
For the second option, where the garden is 30 feet long and 10 feet wide, the perimeter would be 30+30+10+10 = 80 feet.
Therefore, the first option where the garden is 20 feet long and 15 feet wide would use less fencing, 70ft in this case, as the perimeter is lower than the other option which is 80 ft.
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What is the formula to find the side?
Answers
The formula to find the side of a geometric shape depends on the shape itself. Few details like area or perimeter of a shape or surface area or volume of a solid with few other parameters should be known.
Few examples :
For a square, the formula to find the side (s) is:
s = √(A)
where A is the area of the square.
For a rectangle, the formula to find the length (l) and width (w) are:
l = A/w and w = A/l
where A is the area of the rectangle.
For a triangle, the formula to find the base (b) and height (h) are:
A = (b*h)/2
where A is the area of the triangle.
For a cube, the formula to find the side (s) is:
V = s^3
where V is the volume of the cube.
Keep in mind that these are a few examples of formulas that can be used to find the side of a geometric shape. Depending on the specific problem, different formulas may be required.
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What are 3 horizontal lines?
Answers
The 3 horizontal line refers the equivalent relation.
The term horizontal line in math defined as a straight line that is mapped from left to right and it is parallel to the X-axis in the plane coordinate system.
Here have to find the meaning of 3 horizontal line.
As per the definition of horizontal line, the three horizontal line also known as triple line defines the equivalent relation of the term.
Here the equivalent that is not the same as 'equals'
Where the double bar is more common and generally implies equality on the other hand the triple bar or equal sign with three lines means congruent or, more generally, an arbitrary equivalence relation.
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I NEED HELP PLEASEEE!!!
Answers
If the radius is quadrupled, then the area of the new area to the old area will be 4:1
What is quadrupled?You should be aware that the quadrupled of a circle is four times the area of the old one.
In this case the area of the circle is denoted by
Area = πr²
Where r= radius=6 cm
The area of the old circle is 22/7 * 6 * 6
Area of the circle is = 113.1cm²
To this effect, the area of the new circle is 4(area of the old one)
Area = 4*22/7 * 6 * 6
Area = 3167/7
Area is = 452.6
This implies that 4(113.2) =452.6
In conclusion, you will discover that four times the area of the new circle is the old circle
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A financial analyst wants to set up a hypothesis test to determine if the mean yearly salaries of teachers, tutors, and professors are the same. What would be the correct setup for the null and alternative hypotheses for this test
Answers
Null hypothesis (H0): There’s no effect in the population. Alternative hypothesis (Ha or H1): There’s an effect in the population.
Which null and alternative hypotheses are correct?The null and alternative hypotheses are two opposing ideas that researchers use a statistical test to analyze evidence for and against: The null hypothesis (H0) states that there is no influence in the population. Alternative hypothesis (Ha or H1): There is a population effect.
Identify the null and alternative hypotheses.
As well as the sample size, specify.
Choose a suitable statistical test.
Gather information (note that the previous steps should be done prior to collecting data)
Based on the sample data, compute the test statistic.
Examine the null hypothesis, usually indicated by H0.
Always write the alternative hypothesis, which is usually marked by Ha or H1, with less than, greater than, or not equals symbols, i.e., (,>,or).
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Is 9 a positive number?
Answers
Yes, 9 is a positive number because 9 is a natural number and also we use 9 in our daily life counting problems also.
Let's first attempt to understand what numbers are.
A number is an arithmetic value that is computed and used to represent a quantity. Numbers are represented in writing by symbols like "3," which are numerical symbols. A number system is a methodical way of employing digits or other symbols to represent numbers. The numerical system is a useful set of numbers that reflects the mathematical and algebraic structure of the number. provides a typical illustration.
Positive numbers Any number that represents something other than zero is considered to be positive. When referring to the amount of money in your bank account, a positive figure would undoubtedly make you feel good as well.
So 9 is a positive number.
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Erin is picking out some movies to rent, and he has narrowed down his selections to 5 documentaries, 5 mysteries, 5 dramas, and 7 action movies. How many different combinations of 9 movies can he rent if he wants all 5 mysteries
Answers
If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.
How are the various combinations determined?The following formula determines how many combinations of n objects can be taken r at a time: (n,r) = C(n,r)! .
She was a master of both wit and martial arts. The art and science of education blend beautifully. He saw slam poetry as the ideal synthesis of thought, writing, and theater. The desired mix is produced by the computer system (the perfect combination of arabica and robusta).
Five documentaries make up the total.
7 comedies total are available.
Four mysteries are present.
5 horror movies are there.
A total of 14 films, excluding comedies, are available.
If he wants to rent all 7 comedies, there are a total of 9 different combinations that he can do.
1 * (14*13)/2 = 91
If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.
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Convert 723.8 mm to cm.
Answers
Answer:
72.38
Step-by-step explanation:
When converting from mm to cm divide the length value by 10
a taxi charges $2.35 fee plus $0.55 per mile. melissa has no more than $15 to spend on her taxi ride how many miles can she go?
Answers
Answer:
2.35 + 0.55 × 15 = 10.6
Therefore, she can go 10.6 miles.
Answer:
10.6
Step-by-step explanation:
2.35 + 0.55 x 15 = 10.6
Ben's mom is 22 years older than ben. In 5 years she will be 3 times as old as he will be. How old are they now?
Answers
In linear equation, Ben is 9 years old currently.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
Ben's mom = 22 years
Ben is 9 years old currently.
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The other day, we made green water by mixing 5 ml of blue water with 15 ml of yellow water.
We want to make a very SMALL batch of the SAME shade of green water.
We need to know how much yellow water to mix with only 1 ml of blue water.
Answers
5 divided by 1 equals 5, so if we take that same rule and apply it to the other fraction; 15 divided by 5, we get 3. So 5ml/1ml = 15ml/3ml. ***You need to mix 3 ml of yellow water with 1 ml of blue water.***
Solve this problem
Step by step
Answers
The value of x in the shape we have here is given as 18.7 cm
How to solve for the value of xIn this question we are to find the value of x using the values that we already have in the shape.
The base of the diagram has its length as 40 cm.
The shape is made up of two right angled triangles.
since the top of the shape is 26 m, the triangles would be gotten by
40 - 26 = 14
14 / 2 = 7cm
each rectangular base is therefore 7 cm
we have to solve for the value of x using the Pythagorean theorem
hence we would have:
7² + x² = 20²
49 + x² = 400
x² = 400 - 49
x² = 351
x = 18.7 cm
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FIND THE VALUE OF EACH EXPONENTIAL NOTATION COLOR THE CORRECT ANSWER THROUGH NAVIGATING THE EXPONENT MAZE. (PA HELP NAMAN GUYS)
Answers
The complete maze pattern is shown below.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.An exponent refers to the number of times a number is multiplied by itself.Given is an exponent maze.
We can complete the maze as -
START HERE →→ 3³ → → 9 →→ 1³ →→ 1 →→ 9² →→ 81 →→ 4³ →→ 64 →→ 2⁵ →→ 32 →→ 11² →→ 121 →→ 8² →→ 64 →→ 15³ →→ 3375 →→ 13² →→ 169 →→ 2⁴ →→ 16 →→ 10² →→ 100 →→ 2³ →→ 8 →→ 6⁴ →→ 1296 →→ 12² →→ 144 →→ 3³ →→ 27 →→ YOU MADE IT.
Therefore, the complete maze pattern is shown above.
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What kinds of problems are not solved by algorithms?
Answers
Answer:
Undecidable Problems
Step-by-step explanation:
please show your work
Answers
-x = -6 - 12
-x = -18
solution: x=18
-c = -6 - 12
-x = -18
Answer is x = -18
13. Solve for x. (show work)
Answers
Answer:
The value of x is 12.
i think it is correct.
7. A stock is worth $21. Its value is increasing at a rate of $0. 25 per week a.
Write an equation for the value y (in dollars) of the stock after x weeks.
b. If this trend would continue, what would be the value of the stock after 20 weeks?
Answers
The Equation for the value y is a. y = 21 + 0.25x (where x represents the number of weeks)
b. The value of the stock after 20 weeks would be 21 + (0.25 * 20) = $26.
This equation represents the linear relationship between the value of the stock (y) and the number of weeks (x). The value of the stock is initially $21, and it increases by $0.25 every week. This is represented by the coefficient of x (0.25) in the equation. By plugging in x=20 into the equation, we can find that after 20 weeks, the value of the stock would be $26. This is assuming that the rate of increase remains constant over time.
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PLEASE ANSWER ASAP WILL GIVE BRAINLIEST
Answers
What are the 4 types of real numbers?
Answers
Real numbers are every number that exists in the real line, The four types of real numbers are rational, irrational, Natural and Integers.
What is a real number?In mathematics, a real number is a value that can be represented on the number line. The set of real numbers includes both rational numbers (such as integers, fractions, and decimals) and irrational numbers (such as √2 and π). Real numbers also include positive numbers, negative numbers, and zero. The set of real numbers is usually represented by the symbol R, and it has the properties of being closed under the operations of addition, subtraction, multiplication, and division (except for division by zero).
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
Rational number = 3/4, -6/2, or 0.5.
Irrational number = √2, π, or e.
Natural number = 1,2,3,4....
Integers = -4, -1, 0, 1, 4.
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Solve the word problem using the RDW strategy. Show all of your work in your journal. Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60. If she paid for her meal with a $10 bill, how much money did she have left? Select the answer as a fraction and in dollars and cents. *
Answers
The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.
RDW strategy:1. READ and reread the problem first
2. DRAW an image to illustrate the information. Ask your self Can I infer anything from this information during this step? What could I doodle? Which model will best convey the information? What inferences may I draw from the illustration?
3. WRITE the drawings as a basis for your conclusions. This can be expressed as a mathematical expression, an equation, or a statement.
Given that
Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60
Here 5 1/2 = 11/2 = 5.5 dollars
Then the total cost of the sandwich and drink = $ 5.5 + $ 2.60 = $ 8.1
Given that Cheryl gave $ 10
The amount that Cheryl left with = $ 10 - $ 8.1 = $ 1.9
Here is $ 1.9 = 1 dollar and 90 cents
Therefore,
The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.
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for large parties a restaurant adds a 15 service charge. how much would be added to a bill of $638.40
Answers
Answer: $95.76
Step-by-step explanation:
If the 15 is referencing 15%.
15% of 638.40 can be found by making 15% a decimal by moving the decimal to the left twice.
.15 X 638.40= 95.76
The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, On Tuesday, the baker makes a total of 60 muffins how many muffins did she make on tuesday
Answers
The number of blueberry muffins the baker makes on Tuesday is given by the equation A = 24 blueberry muffins
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of blueberry muffins the baker makes be A
Now , the equation will be
The total number of muffins the baker makes on Tuesday = 60 muffins
The percentage of blueberry muffins = 40 %
So ,
The number of blueberry muffins the baker makes A = total number of muffins the baker makes on Tuesday x percentage of blueberry muffins
Substituting the values in the equation , we get
The number of blueberry muffins the baker makes A = 60 x ( 40/100 )
On simplifying the equation , we get
The number of blueberry muffins the baker makes A = 60 x 0.4
The number of blueberry muffins the baker makes A = 24 blueberry muffins
Therefore , the value of A is 24
Hence , the number of muffins is 24
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