This s the answer
Answer y=(-1/4)x+10
Two dice are rolled. What is the probability that the sum of the numbers rolled is either 2 or 5? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer: first lowest: 1/3 second lowest:2/6
Step-by-step explanation:
if n 1 integers are chosen from the set {1, 2, 3, , 2n}, where n is a positive integer, must at least one of them be even?
Yes, One of them must be even and this is because Pigeonhole Principle.
What is Pigeonhole Principle?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. As an illustration, if one has three gloves (none of which are ambidextrous or reversible), at least two of them must be right-handed or left-handed as there are three items but only two categories of handedness to classify them into. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.
From series {1,2......2n}, we need to select 'n+1' integers.
Even integers series from above series is {2,4,6..........2(n-1), 2n}
Odd integers series from above series is {1,3,5......2(n-2), 2n-1}
We can choose only n odd integers from the series. Therefore, if we choose n+1 integers, at least one of them must have to be even integer.
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Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, thunderheads produce, on average, 300 acrefeet. The meteorologists randomly selected 29 clouds which they seeded with silver iodide to test their theory that average acrefeet is more.
What conclusion can they reach based on the above output when they set the significance level to be 0.10?
a.The data does not provided statistical evidence that the average acrefeet from seeded clouds is more than 300.
b.The data does provide statistical evidence that the average acrefeet from seeded clouds is more than 300.
c.The data does not provided statistical evidence that the sample average acrefeet from seeded clouds is more than 300.
d.Two of the above are correct.
e.We can not draw conclusions based on the above statistical output because the conditions are not met due to the extreme outliers.
Conclusion can they reach based on the above output when they set the significance level to be 0.10 is that we can not draw conclusions based on the above statistical output because the conditions are not met due to the extreme outliers.
Define meteorologists.A person with specific training in meteorology applies scientific principles to describe, comprehend, observe, or forecast atmospheric occurrences on earth and/or how the atmosphere impacts the planet's surface and life are meteorologists.
Given,
Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, thunderheads produce, on average, 300 acrefeet. The meteorologists randomly selected 29 clouds which they seeded with silver iodide to test their theory that average acrefeet is more.
Conclusion can they reach based on the above output when they set the significance level to be 0.10 is,
e. We can not draw conclusions based on the above statistical output because the conditions are not met due to the extreme outliers.
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What are the 3 forms of an equation?
Answer:
There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.
Pls help a girl out
The statement that best describes how income levels have changed in the United States is given as follows:
C. High-income earners are making more, but most people have only seen limited gains.
How to obtain the correct statement?Recently, in the entire world, an especially in the United States, inflation has been a problem, and thus people's income has not followed the pattern, staying mostly stagnant while inflation happens. This has happened even though the economy has improved from the 2008 global crisis.
However, high-income earners are making more, as the number of millionaires and billionaires increase, increasing the gap between high and low income earners. Thus option C is the correct option.
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Question 10 (1 point)
(01.03 MC)
What is the simplified expression for 54.53 55?
5²
53
54
55
Answer:
5 to the second power
Step-by-step explanation:
5 to the power of 4 is 625
5 to the power of 3 is 125
5 to the power of 5 is 3,125
So the expression is now 625 x 125/ 3,125
625 x 125 = 78,125
78,125/3,125= 25
5 to the second power equals 25
2x-7y=12 slope intercept form please help
Answer:
[tex]y=\frac{2}{7} x -\frac{12}{7}[/tex]
edges 1. at the world tic-tac-toe championship, each player must play against 7 other players. new games start every hour. how many hours will the tournament take?
Each game starts every hour then 28 games will be occurred in 28 hours and therefore the tournament will take 28 hours for completion.
Given, there are total 8 players playing the tournament of world tic-tac-toe championship.
Also, new game start each hour.
We have to find the number of hours the tournament will take to complete.
Total games occurred be,
we will use the concept of A.P. to find the total number of games
First player will play with 7 players, second player will play with 6 players and so on.
Total games = 8/2[14 + 7×(-1)]
Total games = 4×7
Total games = 28
Now, if each game start every hour then 28 games will occurred in 28 hours and therefore the tournament will take 28 hours for completion.
Hence, the tournament will take 28 hours for completion.
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students who study for 7 hours over the course of a week will perform better than students who cram for 7 hours the night before the exam. the dependent variable in this hypothesis is:
The dependent variable in this hypothesis is test performance.
What is a dependent variable?
In mathematical modelling, statistical modelling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, one‘s values are examined under the assumption as well as demand that they are dependent on the value of another variable due to some law or rule (for example, a mathematical function). In the context of the experiment in question, independent variables are those that are not thought to be depending on other variables. Time, space, specific gravity, mass, fluid flow rate and previous values of certain observed value of interest (such as the size of the human population) are examples of common independent variables that can be used to forecast future value systems (the dependent variable).
The outcome of this hypothesis is the dependent variable.
Hence, the dependent variable in this hypothesis is test performance.
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How Do You Solve 2 linear equations?
There are six methods to solve linear equations;
Graphical MethodElimination MethodSubstitution MethodCross Multiplication MethodMatrix MethodDeterminants MethodGiven,
Solving Linear equations;
To find a linear equation's solution is to solve a linear equation. Here, the techniques for solving the three primary forms of linear equations—linear equations with one variable, linear equations with two variables, and linear equations with three variables—are described.
We have to find the methods to solve linear equations;
There are six methods to solve linear equations;
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Which of the following is the correct classification of AMNP if m/M = 37° and m/P = 106° ?
A Right
B Isosceles
C Acute
D Scalene
Answer:
B Isosceles
Step-by-step explanation:
You want to know the classification of ∆MNP when ∠M = 37° and ∠P = 106°.
Third angleThe third angle of the triangle can be found using the fact that the sum of angles is 180°.
∠N = 180° -37° -106° = 37°
This tells us angles M and N have the same measure (37°), so ...
the triangle is isosceles.
Rightround is a firm that manufactures record players. Suppose rightround sells its record players to online retailers for $342 each and requires those online retailers to charge at least $362 to shoppers for each record player.
False. All economists do not believe that predatory pricing is a profitable business strategy.
What does "predatory pricing" mean?
A dominant company will often use predatory pricing as a deliberate strategy to drive out rivals by setting exceptionally cheap prices or supplying products for less than the company would otherwise have to spend on manufacturing (often equated for practical purposes with average variable costs).
Predatory pricing, sometimes referred to as undercutting, is a pricing strategy in which a good or service is offered at an extremely low cost with the goal of driving out rivals or establishing barriers to entry for potential new competitors.
If a competitor was selling a TV for $100 and you were offering the same TV for $80, you would be using predatory pricing.
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HELPPPPPP PLEASEEE I NEED HELP
The volume of pyramid with square base is 15466.67 cm³.
What is pyramid?A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.
Given, the pyramid has square base.
And the side of square is 40 cm
And the height is 29cm.
The volume of the pyramid with square base
V = base area x height/3
V = (40 x40) x 29/3
V = 15466.67 cm³
Therefore, the volume of pyramid with square base is 15466.67 cm³.
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PLEASE ANSWER ASAP! WILL GIVE 30 POINTS!
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope.b is the y-intercept.Given two points, the slope is given by the change in y divided by the change in x, hence the slope of segment RS is given as follows:
m = (16 - 4)/(9 - 3) = 2.
When two lines are perpendicular, the multiplication of their slopes is of -1, hence the slope of the perpendicular bisector is obtained as follows:
2m = -1
m = -1/2.
The midpoint of a segment is given by the mean of the coordinates, hence:
x = (3 + 9)/2 = 6.y = (4 + 16)/2 = 10.The perpendicular bisector is a linear function with slope of -1/2 going through the point (6,10), hence the intercept b is calculated as follows:
10 = -0.5(6) + b
b = 13.
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Last year, Elsa opened an investment account with$5400 . At the end of the year, the amount in the account had increased by 6.5%. How much is this increase in dollars? How much money was in her account at the end of last year? Increase in amount and Year-end amount
Answer:
Here you go
Step-by-step explanation:
The increase in amount is $351.00 ($5400 x 0.065 = $351). The amount in the account at the end of the year was $5751.00 ($5400 + $351 = $5751).
PLEASE HELP ME WITH MY MATH HOMEWORK
ill give you brainliest
Answer: [tex]H = -16s(s-6)[/tex]
Work Shown:
[tex]H = -16s^2+96s\\\\H = -16s*s+16s*6\\\\H = -16s(s-6)\\\\[/tex]
The answer can be confirmed by using the distributive rule to multiply -16s by each term inside the parenthesis. You should get [tex]-16s^2+96s[/tex] after distributing.
What is the value of the expression 1/2 + 2/3 when b = -5?
-17/6
-1/6
23/6
I don't know.
Answer:
1st answer is correct
Step-by-step explanation:
[tex]\sf \frac{1}{2} +\frac{2b}{3}[/tex]
Given that,
b = -5
To find the value of the above expression, replace b with -5.
[tex]\sf \frac{1}{2} +\frac{2b}{3}\\\\\sf \frac{1}{2} +\frac{2*(-5)}{3}\\\\\sf \frac{1}{2} +\frac{-10}{3}[/tex]
Now, to solve the above fractions, you have to make the denominator the same.
For that, multiply both the numerator and denominator of (1/2) & (-10/3) by 3 & 2 respectively.
Let us solve it now.
[tex]\sf \frac{1}{2} +\frac{-10}{3}\\\\\sf \frac{1}{2} -\frac{10}{3}\\\\\sf \frac{1*3}{2*3} -\frac{10*2}{3*2}\\\\\sf\frac{3}{6} -\frac{20}{6} \\\\\sf\frac{-17}{6}[/tex]
The triangular base of a prism is a right triangle of sides a and b = 2a. The height h of the prism is equal to 10 mm and its volume is equal to 40 mm3, find the lengths of the sides a and b of the triangle.
A prism having a triangular base is a right triangle of sides a and b = 2a.
The lengths of side "a" is 3.464 mm.
The length of side "b" is 6.928 mm.
Volume of the Triangular Prism:
A triangular prism is an object in three dimensional space with a triangular base and three other triangles connected to it. A triangular prism has four corners, and the distance from the base to the diagonal vertex is called the height of the triangular prism.
It is given by the multiplication of the area of the base to the height of the prism.
V = (Area × height of prism)/3
=> V = Ah/3
we have given that,
Base of prism is right angle triangle with sides "a" and "b" such that b = 2a ---(1)
Height of prism (h) = 10mm
Volume (V) = 40mm³
the Area of triangluar base = 1/2 × base× height of triangular base
A = (1/2)a ×b
=> A = (1/2)a × 2a = a²
Volume of prism (V) = a²×h/3 = 40
=> a²×10/3 = 40
=> a² = 120/10 = 12
=> a = √12 = 2√3
=> a = 2(1.732) = 3.464
from equation (1) , b = 2a = 2(3.464)
=> b = 6.928
So, the lengths of sides of triangle are
a= 3.464 and b = 6.928
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What is the theorem of SSS?
Answer:
read below :)
Step-by-step explanation:
SSS is the side side side theorem.
It states that if the three sides of a triangle are equal in length to the three sides of another triangle, they must be congruent.
Which of the following is the equation of the ellipse with a vertical major axis, center at (1, –3), a = 7, and b = 5?
(Don't mind the answer that is already selected.)
The required equation of the ellipse is (x - 1)² / 49 + (y + 3)² / 25 = 1. which is the correct answer would be an option (A).
What is the equation of the ellipse?The equation of an ellipse with a vertical major axis and center at (h, k) is given by the formula (x - h)² / a² + (y - k)² / b² = 1, where a is the length of the major axis and b is the length of the minor axis.
As per the question, the ellipse has a vertical major axis and center at (1, -3), a = 7, and b = 5.
Substituting these values into the formula, we get:
(x - 1)² / 7² + (y + 3)² / 5² = 1
Simplifying this expression, we get:
(x - 1)² / 49 + (y + 3)² / 25 = 1
Thus, the required equation of the ellipse is (x - 1)² / 49 + (y + 3)² / 25 = 1.
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What is the equation in point − slope form of the line passing through 1 2 and 2/5 )? 5 points?
The equation in point-slope form of the line passing through [tex](1,2)[/tex] and [tex](2,5)[/tex] is [tex]y=3x-1[/tex]
To find the slope of the line is
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{5-2}{2-1} \\m=\frac{3}{1} \\m=3[/tex]
The equation of the line is given by
[tex]y=mx+c.........(1)[/tex]
We have to use one point form to find the equation
The point [tex](1,2)[/tex] satisfies the equation
plug in the value of m, the equation becomes
[tex]2=3(1)+c\\2=3+c\\c=2-3\\c=-1[/tex]
Put the value of m,c in (1) equation
[tex]y=3x-1[/tex]
The equation of the line is [tex]y=3x-1[/tex].
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What is surface area of any figure?
Surface area of any figure is the area that the outer surface of any figure covers.
If we look at the different figures we find that these figures if placed somewhere or if we need to cover the figures with some kind of material then in order to find the the dimensions of the material we will need to find out the area that the overall surface of the figure will cover. This will reduce the time and complication of the calculations of every part of the shape. For example, If there is a need to find the surface area of the cylinder then we use the formula for its curved surface area as
S = 2πrh where r is the radius and h is the height of cylinder
Also, the total surface area will be expressed as
T = 2πr(r + h) where r is the radius and h is the height.
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The ratio of roses to lilles in a garden is 3 to 2 what percentage of the gardens flowers are roses
Answer:
To find the percentage of roses in the garden, we first need to determine the total number of flowers in the garden. We can do this by adding the number of roses and lilies, and then multiplying that number by the ratio of roses to lilies. For example, if there are 3 roses and 2 lilies in the garden, the total number of flowers would be 5 (3 + 2 = 5). To determine the percentage of roses, we would then divide the number of roses by the total number of flowers, and multiply by 100. In this case, the percentage of roses would be 60% (3 / 5 * 100 = 60).
What are the 5 infinitives?
The five types of infinitives are full infinitives, bare infinitives, split infinitives, continuous infinitives , and perfect continuous infinitive.
Explanation:
Types of infinitives:
Five types of infinitives are as follow:
Full infinitives : Add 'to' Infront of the verb to complete the the situation.Bare infinitives: here " to" get omitted from the sentence.Split infinitives : Here adjectives slides between infinitives marker.To hear : full infinitives changes to split infinitives : to slowly hear.
Continuous infinitives: Action going for certain period of required time.Example : to be missing
Perfect continuous infinitives: prior to a time :Example : to have seen
Therefore, there are are five types of infinitives .
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Help please, it’s hard and I’m having a difficult time!
Answer:
1) Median
2) Mode
3) Mean
(Hope this is correct :D )
Step-by-step explanation:
Mode is the number that is most repeated in the data set, and it would best describe the center of the data for the second one.
The first one has an outlier of 50 at the start, so the median would be most appropriate for this.
The last one is basically equal for each value, so the mean would best describe the center for this one.
Write an inequality for the statement:
negative three eighths is at most the product of a number and negative five sevenths
A negative 3 over 8 ≤ negative 5 over 7w
B negative 5 over 7 ≤ negative 3 over 8w
C negative 5 over 7 ≥ negative 3 over 8w
D negative 3 over 8 ≥ negative 5 over 7w
The inequality for the statement negative three eighths is at most the product of a number and negative five sevenths is negative 3 over 8 ≤ negative 5 over 7w which is option A.
What is inequality?inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
negative three eighths = -3/8
negative five sevenths = -5/7
At most for inequality symbol = [tex]\leq[/tex]
mathematically
-3/8 [tex]\leq[/tex] -5/7w
which is negative 3 over 8 ≤ negative 5 over 7w
In conclusion the inequality for the statement is negative 3 over 8 ≤ negative 5 over 7w
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Find the slope of the tangent line to the given polar curve at the point specified by the value of theta.
r = 6 cos(theta),
theta = ????/3
The slope of the tangent line to the given polar curve at the point specified by the value of theta is m= 1/√3.
What is meant by tangent line?A straight line that just touches a plane curve at a particular location is referred to as the tangent line (or tangent) to the curve in geometry. It was described by Leibniz as the line connecting two points on the curve that are endlessly near to one another. A line passes through the point (c, f(c)) on the curve and has a slope of f'(c), where f' is the derivative of f. This is more properly referred to as being a tangent of the curve y = f(x) at a point x = c. Curves in n-dimensional Euclidean space and curves in space have a comparable definition.
The tangent line is "passing" through the point of tangency—the intersection of the tangent line and the curve as it travels.
Given,
r=6cosθ
f'(θ)=-6sinθ
θ=π/3
dy/dx=(f'(θ)sinθ+f(θ)cosθ)/(f'(θ)cosθ-f(θ)sinθ)
dy/dx=( -6sinθsinθ+6cosθcosθ)/(-6sinθcosθ-6cosθsinθ)
=(6cos²θ-6sin²θ)/-12 sinθcosθ
=6(cos²θ-sin²θ)/-6(2sinθcosθ)
=6cos2θ/-6sin2θ
=-cos2θ/sin2θ
=-cot2θ
Slope of the given polar curve at θ=π/3 is
m=dy/dx
m= -cot(2(π/3))
m = cot(-2π/3)
m= 1/√3
Therefore, the slope of the tangent line to the given polar curve at the point specified by the value of theta is
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Find the perimeter and area of the figure.
-4x² + x - 7 = y
2x + 8 = -y ( solve by elimination )
A technique for solving an equation system is elimination.
What is elimination method ?Elimination is a method of solving a system of equations. In elimination, the goal is to eliminate one of the variables by adding and subtracting equations in order to create an equation with a single variable. This equation can then be solved for the single variable. For example, given the system of equations 2x + 8 = -y and 4x² + x - 7 = y, we can use elimination to solve for the variables x and y. To do this, we first need to multiply the first equation by -4, giving us -8x - 32 = 4y. We then add the two equations together, which gives us 4x² + 9x - 39 = 0. This equation can be solved using the quadratic formula, which gives us x = -3. To solve for y, we can plug x = -3 into either of the original equations. Plugging this value into the first equation gives us 2(-3) + 8 = -y, which simplifies to -6 + 8 = -y, and therefore y = 2. This method of using elimination to solve a system of equations can be used to solve any system of equations with two variables.2x + 8 = -y
-4x² + x - 7 = -y
Subtracting 2x + 8 from both sides:
-4x² - x + 15 = 0
(4x - 5)(x + 3) = 0
4x - 5 = 0
x = 5/4
x + 3 = 0
x = -3
Solutions:
x = 5/4 and x = -3
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coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 10 in3/min. (a) how fast is the level in the pot rising when the coffee in the cone is 5 in deep?
The level in the pot rising when the coffee in the cone is 5 in deep is 0.35 in/min.
Here the variables are the height of the coffee in the filter hf , the radius of the top of the coffee in the filter rf , and the height of the coffee in the pot hp:
We allowed Vp to represent the volume of coffee in the pot. We are interested in the instant when
hf = 5 in and dVp/dt = 10 in³/min.
The question is dhp/dt =? when dVp/dt = 10 in³/min and hf = 5 in
We need to relate hp to the other variables. In the pot (idealized as a cylinder), we have the volume Vp as Vp = π(3)²hp = 9πhp in³(since the volume of a cylinder of radius r and height h is V = πr²h).
Differentiation of Vp with respect to time gives dVp/dt = 9πhp/dt or
dhp/dt = (1/9π).(dVp/dt)
When dVp/dt = 10 in³/min and hf = 5 in, we have
dhp/ dt = 1/9π(10)
= 10/9π in/min
dhp/ dt ≈ 0.35 in/min (notice that the answer here is independent of hf ).
Hence, the level in the pot rising when the coffee in the cone is 5 in deep is 0.35 in/min.
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