By Set theory, 420 many people in the survey use brand P and not brand Q.
What is Set theory?
The mathematical concept of sets, which are well-defined collections of things that are referred to as their members or elements, is known as set theory. As only sets are the subject of pure set theory, the only sets that are taken into account are those whose members are also sets.
The major reason why set theory is significant is because it offers the axioms upon which the rest of mathematics is constructed. We study sets and their characteristics in the area of mathematical logic known as set theory. A collection of items or a group of items is referred to as a set. These items are frequently referred to as elements or members of a set.
P use = 630 people
Q use = 420 people
both P&Q use ie P∩Q = 210 People
use brand P but not brand Q = P/ P∩Q
= 630 - 210
= 420
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- use the distributive property to rewrtie each expression -6(r- 8)1)
Answer:
-6r+48
Step-by-step explanation:
The answer above is what you end up when you use distributive property.
What is the slope of the line whose equation is 3x 2y 10?
For the given function 3x + 2y = 10 the slope of the function is equal to -3/2.
As given in the question,
Given function is equal to 3x + 2y = 10
Standard form of the equation representing slope intercept form is given by :
y = mx + c
'm' is the slope of the given function
'c' is the value of y-intercept of the given function.
Now simplify the given function 3x + 2y = 10 in standard form ,
3x + 2y = 10
⇒2y = -3x + 10
⇒ y = 1/ 2(-3x + 10 )
⇒ y = -3/2x + 5
Compare with the standard form of the equation ,
Slope of the given function is m = -3/2.
Therefore, for the given function 3x + 2y = 10 the slope of is given by
m = -3/2.
The given question is incomplete , the complete question is:
What is the slope of the function 3x + 2y = 10?
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jason was riding his bicycle, making deliveries on his newspaper route. He had no less than 12 newspapers left to deliver. Which number line represents this scenario?
number line with closed circle at point 12, shaded to the left
number line with open circle at point 12, shaded to the left
number line with open circle at point 12, shaded to the right
number line with closed circle at point 12, shaded to the right
Answer:
number line with a closed circle at point 12, shaded to the left
Step-by-step explanation:
Because it say he had no less than 12 newspapapers
Which mean he had smaller than or equal to 12 nnewspapapers
Because there is equal, so it will be a close circle, and shaded to the left because it is less than !
8.
At Friday's Football game, 1,294 tickets were sold for a total amount of $8,816.00. IF
each student ticket costs $5.00, and each adult ticket costs $8.00, how many
student tickets were purchased?
Answer: 3,385.00
Step-by-step explanation: To find the number of student tickets sold, we need to first figure out the total number of tickets sold at the football game. We can do this by dividing the total amount of money collected by the cost of each ticket. In this case, we have:
Total number of tickets = 8,816.00 / (5.00 + 8.00)
= 8,816.00 / 13.00
= 677.5
Since the total number of tickets sold must be an integer, we can round this number down to 677. This means that 677 student tickets were sold at the football game.
We can verify this answer by calculating the total amount of money collected from the student tickets and checking that it is equal to the total amount collected at the game:
Total amount collected from student tickets = 677 * 5.00
= 3,385.00
Since the total amount collected from the student tickets is less than the total amount collected at the game, we know that this is the correct answer.
For the polynomial function f(x)= -2x² - 4x + 16, find all local and global extrema.
A.) No local extrema exist.
B.) The local and global extrema are: (0, -4), (0, 2) and (-1, 18).
C.) The only extrema point is (-1, 18).
D.) No global extrema exist.
Answer:
C.) The only extreme point is (-1, 18).
Step-by-step explanation:
You want the local and global extrema of f(x) = -2x² - 4x + 16.
Extreme pointsUnless the domain is restricted to a particular interval, the extrema of a polynomial function will be its turning points. The number of possible turning points is 1 less than the degree of the equation.
An even-degree polynomial equation will always have at least one global extreme on the domain of all real numbers.
The given 2nd-degree equation will have exactly one extreme point: its vertex at (-1, 18).
__
Additional comment
The vertex of ax² +bx +c is located at x=-b/(2a). Here, that is x=-(-4)/(2(-2)) = -1. The value of f(-1) is -2 -(-4) +16 = 18, so the extreme point is (-1, 18). A graphing calculator finds it quickly.
find the volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48
The volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48 is 384.
In the given question, we have to find the volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48.
Cut by a plane at x = x(0) = constant, then z= 48-6x-8y while you are moving with y at x=x(0) constant
At this plane (x = x(0)), an element of area will be dA = z dy and an element of volume dV = dA dx
So , V = [tex]\int\int zdydx[/tex]
v = [tex]\int_{0}^{8}\int_{0}^{(48-6x)/8}(48-6x-8y)dy.dx[/tex]
v = [tex]\int_{0}^{8}[48y-6xy-4y^2]_{0}^{(48-6x)/8}dx[/tex]
v = [tex]\int_{0}^{8}[48\times((48-6x)/8)-6x\times((48-6x)/8)-4((48-6x)/8)^2-0]dx[/tex]
v = [tex]\int_{0}^{8}[9/4(x-8)^2]dx[/tex]
Let u = x-8
v = [tex]9/4\int_{0}^{8}(u)^2[/tex]
v = [tex]9/4\left[\frac{(u)^3}{3}\right]^{8}_{0}[/tex]
v = [tex]3/4[(x-8)^2]_{0}^{8}[/tex]
v = 3/4[(8-8)^3+(0-8)^3]
v = 3/4[0-(-512)]
v = 384
The volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48 is 384.
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Paul's batting scores for cricket in a season are 17, 23, 9, 0, 8, 21 and 12.
Calculate Paul's mean score to the nearest whole number.
Based on Paul's batting scores for cricket in a season, his mean score to the nearest whole number is equal to 13.
What is a mean?In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the mean for the set of scores?Mathematically, the mean for this set of scores can be calculated by using the following formula:
Mean = [F(x)]/n
For the total scores, we have;
F(x) = 17 + 23 + 9 + 0 + 8 + 21 + 12
F(x) = 90.
Now, we can determine the mean score as follows;
Mean score = 90/7
Mean score = 12.86 ≈ 13.
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What does it mean when you regroup?
a horizontal line passes through $(1,1)$. a vertical line passes through $(2,2)$. what is the point of intersection of these two lines?
The point of intersection of these two lines is (2,1)
Point of intersection means the point at which two lines intersect.
These two lines are represented by the equation a1x + b1y + c1= 0 and a2x + b2y + c2 = 0, respectively.
When the graphs of y = f(x) and y = g(x) intersect, both graphs have exactly the same x and y values.
So we can find the point or points of intersection by solving the equation f(x) = g(x)
We have been given that line l1 is horizontal and passes through the point (1,1). The line l2 is vertical and passes through points (2,2). We are asked to find a point of intersection between line l1 and line l2.
Line l1 is a horizontal line so the y-coordinate will be 1 for any value of x. Line l2 is a vertical line, so the x-coordinate will be 2 for any value of y.
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anybody has the answers???
The coordinate pairs that represent possible solutions to the inequality graph are;
(4, 4)
(0, 0)
What is the solution to the inequality graph?When it comes to inequality graphs, the shaded portion usually contains all the possible coordinates that represent solutions to the given inequality.
Now, from the inequality graph, we say that the shaded part is below the line and so our possible solutions will be located in that direction.
Thus, the possible solutions from the graph are the coordinates;
(-5, -5), (-4, -4), (-3, -3), (-2, -2), (-1, -1), (0,0), (1, 1), (2, 2), (3, 3), (4, 4)
Lookin at the given options, the only ones that are possible solutions are options B and E.
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A point is plotted on a number line at −4.8 A second point is plotted at 6.3.
What is the length of the line segment joining these points?
pls someone answer i will give brainlist
Which factor mut a producer conider when deciding what good to upply? check all that apply
Factors that are needed to be considered by producer when deciding on the kind of good to supply are :
1) The supply of a good's flexibility.
2)There is rivalry in the market.
3)The capacity to efficiently generate the good
What is the importance of supply of goods in market?
Supply is crucial because it ensures that there is sufficient production of the items needed to keep up with consumer demand. Typically, the price of that commodity will rise if supply is less than demand. This supply schedule, or curve, establishes the quantity of an item that is produced at a given price.
Applies to be checked are:
1) A producer must first conduct market research by taking into account a number of Factor before he can supply a good.
2) One of the most important factors to take into account is competition because when there is a lot of it, sales may not be as high.
3) Reliable production How are you going to stand out if the goods, given that there are so many competitors?
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Supply is crucial because it ensures that there is sufficient production of the items needed to keep up with consumer demand. Typically, the price of that commodity will rise if supply is less than demand. This supply schedule, or curve, establishes the quantity of an item that is produced at a given price.
Applies to be checked are:
A producer must first conduct market research by taking into account a number of Factor before he can supply a good.
One of the most important factors to take into account is competition because when there is a lot of it, sales may not be as high.
Reliable production How are you going to stand out if the goods, given that there are so many competitors?
What is the example of Triangle Inequality theorem 2?
The example of Triangle inequality theorem 2 is 4 + 8 = 12, which is less than 15 in total. Triangle Inequality Theorem is not satisfied by this set of side lengths.
What is meant by triangle inequality ?According to the triangle inequality, the lengths of any two sides of any triangle must add up to at least the length of the third side. Triangle inequality, often known as a + b c, is a theorem in Euclidean geometry that states that the sum of any two triangle sides must be greater than or equal to the third side. The basic tenet of the theorem is that a straight line connects any two places. That is what the Triangle Inequality Theorem says.To learn more about triangle inequality refer to:
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How do you solve for mean and SD?
We determine the mean and standard deviation for a statistical observation by considering the available data set and size of data.
What is mean and standard deviation?In the statistics, the mean value is the average value of all available data set.
The standard deviation is an estimation that implies how far each data is apart from the mean value.
How do we solve for mean and standard deviation?Suppose we have a list of data. The data list is denoted by X and the total number of data is N. Now we will add all the data set and the result is denoted by ∑X
Mean value formula = the sum of data / number of data = ∑X/N
In the next, we will determine the square value of all data and the list is denoted by X². Finally, we add all the X² and the result is ∑X²
now, standard deviation is calculated by the formula,
standard deviation = √[∑X²/N - (∑X/N)²]
hence, we can solve for mean and SD
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suppose that 62 percent of the graduates from your high school go on to four-year colleges, 15 percent go on to two-year colleges, 18 percent find employment, and the remaining graduates search for a job. if a randomly selected student is not going on to a four-year college, what is the probability he or she will find employment?
Using the AND rule of probability and percentage calculations, The answer is 0.0684.
What do you mean by probability?Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
What do you mean by percentage?Percentages are fractions with a 100 as the denominator. The percent symbol (%) is used next to the number to denote that it is a percentage.
62% goes to college.
% not going to college = 100%-62%
=38%
on that 38%, 18% gets employment,
probability = 0.38 * 0.18
=0.0684
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a) Change 12 out of 43 to a percentage
b) Change 43 out of 57 to a percentage
Answer:
a) 27.9069767442
b} 75.439%
Step-by-step explanation:
Two conducting spheres, one having twice the diameter of the other, are separated by a distance large compared to their diameters. The smaller sphere (1) has charge q and the larger sphere (2) is uncharged. If the spheres are then connected by a long thin wire:.
If the spheres are connected by a long thin wire, then the two spheres are at the same potential.
In math, the term sphere refers a three dimensional solid, that has all its surface points at equal distances from the center.
Here we have given that the two conducting spheres, here one having twice the diameter of the other, that are separated by a distance large compared to their diameters. Then the smaller sphere (1) has charge q and the larger sphere (2) is uncharged.
And we need to find If the spheres are connected by a long thin wire.
While we looking into the given question when these two conducting spheres are connected together through a thin wire then charge from the smaller sphere will travel through the wire.
Therefore, here this charge will continue to travel towards the neutral sphere until the charge on both the spheres will become equal to each other.
Therefore, their potential will also become equal.
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The formula for the cot of buying a car i cot = 12 x monthly payment depoit. The cot of a car i 8000. Find the monthly payment when the depoit i 2600
The monthly payment amount is (8000 - 2600) / 12 = $500.
1. The cot of a car is given as 8000. The depoit is given as 2600.
2. The formula for the cot of buying a car is cot = 12 x monthly payment depoit.
3. To find the monthly payment, we can rearrange the formula to monthly payment = (cot - depoit) / 12.
4. Substituting in the values, we get monthly payment amount = (8000 - 2600) / 12 = $500.
The cost of a car can be calculated using a simple formula. The formula is cot = 12 x monthly payment deposit. In this case, the cost of the car is given as 8000 and the deposit is given as 2600. To find the monthly payment, we can rearrange the formula to solve for the monthly payment amount. This gives us the equation monthly payment = (cot-deposit)/12. When we plug in the given values, we get monthly payment = (8000-2600)/12 = $500. This means that the monthly payment amount for this car is $500.
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grass clippings are placed in a bin
Arthur has an april credit card balance of $325.24. his repayment date is the 25th of every month, with a grace period of 5 days. if his payment is late, the credit card company charges him a $25 late fee. arthur wants to repay the full amount to have a zero balance. how much should arthur pay if his online payment is processed on may 1?
a. $325.24, the april balance
b. $25, the april late fee
c. $350.24, the april balance plus the late fee
d. $300.24, the april balance minus the late fee
Answer:
c. $350.24, the april balance plus the late fee
Step-by-step explanation:
You want to know the required total payment when the balance being repaid is $325.24 and a late fee of $25 is charged.
Total owedArthur must pay both the balance due and the late fee. The total amount he must pay is ...
balance + late fee = $325.24 +25.00 = $350.24
What is difference between transform and fit transform?
The difference between transform and fit_transform is that transform() method is used to perform scaling whereas fit_transform does both the fitting and the transforming in one step.
In this question we need to describe the difference between methods transform() and fit_transform()
We know that the methods like transform(), and fit_transform() provided by the scikit-learn package.
Both are the methods of class sklearn.preprocessing.StandardScaler()
The transform() method is used to perform scaling using mean and standard deviation which is calculated using the .fit() method.
The fit_transform() method does both fits and transform i.e., fit_transform() calculates the mean and standard deviation for a given feature and also perform scaling.
Therefore, transform() changes the data and fit_transform does both the fitting and the transforming in one step.
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What number is one more than 39?
The answer is 40, by using addition.
Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the mathematical expression "3 + 2 = 5" (that is, "3 plus 2 is equal to 5").
Besides counting items, addition can also be defined and executed without referring to concrete objects, using abstractions called numbers instead, such as integers, real numbers and complex numbers. Addition belongs to arithmetic, a branch of mathematics. In algebra, another area of mathematics, addition can also be performed on abstract objects such as vectors, matrices, subspaces and subgroups.
Here, what we can do is use addition to find the number one more than 39.
= 39 + 1
= 40
Hence, the number one more than 39 is 40.
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Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the mathematical expression "3 + 2 = 5" (that is, "3 plus 2 is equal to 5").
Here, what we can do is use addition to find the number one more than 39.
= 39 + 1
= 40
What is 4 called in math?
In mathematics 4 is called a numerical term or a number.
What are numerical terms?A mathematical expression is a combination of two or more terms along with operator or symbols. Here, term defines the numbers and variables. variables are denoted by alphabets. When an expression contains only numbers and symbols then it is called numerical expression.
As example 1024 + 234 is a numerical expression.
What is 4 called in math?4 is a whole number. In a mathematical expression 4 is a numerical term.
A numerical term can be acted as a constant or coefficient depending on the types of expression given.
Suppose we have an expression 2x + 3Y - 4 in where 4 is a number act as a constant term. In the other hand, we imagine an expression
16z- 3y + 4x -10 in where 4 is a number accompanied by variable x so 4 is the coefficient of x.
If we write a linear equation, y = 4X + 5
here, 4 is the slope of equation
Whenever we write a square root of √16
we get 4
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Does anyone know how to solve this?
solve for x
3(x-2)^2-10=4-11x
Answer:
x=3.25
Step-by-step explanation:
To solve this you would have to distribute the 3 to both numbers in the parenthesis and then you'd combine like terms. Once you combine like terms it'll be a bit easier to solve. When I distributed and combined like terms I got 3x-12-10=4-11x and then I solved and got x=3.25
Not sure if this is how your supposed to solve this problem for your assignment but for us it's usually like this...if it happens to be wrong then I'm sorry.
Is the square root of an integer always irrational Why or why not?
No, the Square root of an integer is not always irrational because the square root of perfect squares is not irrational.
What is an irrational number?Any real number that cannot be written as p/q, where p and q are both integers, the quotient of two integers.
If a number is not a perfect square, the square root of that number is not rational.
For example, the square root is 4 is 2.
The square root of 9 is 3.
But whereas the square root of 5 is 2.23606797755555...... which is irrational
The square root of 8 is 2.8284271247555..... which is irrational.
So, therefore square root of a number is not irrational always it can be rational also.
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The equation y=−x4+5 describes line 1. The equation x+4y=−40 describes line 2.
Which statement is true?
Responses
Line 1 is neither parallel nor perpendicular to line 2.
Line 1 is parallel to line 2.
Line 1 is perpendicular to line 2.
The lines y = - 4x + 5 and y = x + 4y = - 40 is neither parallel nor perpendicular.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, Are two lines y = - 4x + 5 and y = x + 4y = - 40.
Now,
x + 4y = 40
4y = - x + 40.
y = - (1/4)x + 10.
We know lines parallel to each other have the same slope and lines perpendicular to each other have a slope that is negative reciprocal of each other.
So, Line 1 is neither parallel nor perpendicular to line 2.
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Is there a mode formula?
There is a mode formula, that is Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)] * h
Where,
l = lower limit of the modal class
h = size of the class interval
f₁ = frequency of the modal class
f₀ = frequency of the class preceding the modal class
f₂ = frequency of the class succeeding the modal class
What is mode?The value that consistently appears in a given set is the mode. The mode or modal value in a data set is sometimes referred to as the value or number that occurs most frequently in the data set. In addition to mean and median, it is one of the three measures of central tendency.
A mode is described as the value in a group of values that occurs more frequently. The value that appears the most frequently is this one.
To find the mode we use the formula Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)] * h
Where,
l = lower limit of the modal class
h = size of the class interval
f₁ = frequency of the modal class
f₀ = frequency of the class preceding the modal class
f₂ = frequency of the class succeeding the modal class
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What are the first 3 consecutive odd numbers?
The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.
Consecutive numbers are those that always appear in the same order, from smallest to largest.
For instance:
The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.
consecutive odd numbers:
Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."
Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.
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Find the total surface area and lateral surface area of a chalk box whose height, length and breadth are 25 cm, 20 cm and 15 cm respectively.
Total surface area = 2(lb+bh+hl)
TSA = 2(25×20+20×15+15×25)
TSA= 2(500+300+375)
TSA= 2(1175)
TSA= 2350 cm²
Lateral surface area = 2(l+b)h
LSA= 2(25+20)15
LSA,= 2(45)15
LSA= 1350 cm²
h=25 cm
l=20 cm
b=15 cm
Total surface area is 2(lb+bh+hl)
2(20×15+15×25+25×20)
2(300+375+500)
2(1175)=2350 cm 2
What is the nature of the roots in the equation x² 6x 9 0?
The roots of this quadratic equation are real and equal.
given equation:
[tex]x^{2}[/tex] - 6x + 9 =0
now we need to find discriminant
discriminant = D = [tex]b^{2}[/tex] - 4ac
from the given equation
a = 1
b = -6
c = 9
D = [tex](-6)^{2}[/tex] - 4(1)(9)
= 36 - 36
D = 0
1. [tex]b^{2}[/tex] - 4ac < 0 there roots are imaginary
2. [tex]b^{2}[/tex] - 4ac = 0 there roots are real and equal
3. [tex]b^{2}[/tex] - 4ac >0 there roots are real and distinct
The roots of this quadratic equation are real and equal.
A quadratic equation is graphically represented by a parabola with vertex located at the origin , below the x-axis , or above the x-axis . Therefore , a quadratic function may have one ,two or zero roots.
If the quadratic function is always more than zero that means, when graphed on coordinate system, the function never have intersects the
x-axis. That means that quadratic equation has no real roots.
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