Answer: a. The distribution of X is a binomial distribution with n = 3 and p = 1/4. That is, X ~ Binomial(3, 1/4).
b. The cdf of Y is given by F_Y(y) = P(Y <= y) = P(Y < y) + P(Y = y). Since Y is the middle one of the three points, we can write P(Y < y) as P(X >= 2, Z <= y) where Z is the smallest one of the three points. Similarly, we can write P(Y = y) as P(X = 1, Z = y). Therefore, the cdf of Y is given by:
F_Y(y) = P(X >= 2, Z <= y) + P(X = 1, Z = y)
= P(X >= 2)P(Z <= y) + P(X = 1)P(Z = y)
= (3/64)(y^3) + (9/64)(y^2)(1-y)
c. The pdf of Y is given by the derivative of the cdf with respect to y. That is,
f_Y(y) = dF_Y(y)/dy
= (3/64)(3y^2) + (9/64)(2y)(1-y) + (9/64)(y^2)(-1)
= (9/64)(y^2 - y^3)
Therefore, the pdf of Y is f_Y(y) = (9/64)(y^2 - y^3) for 0 <= y <= 1.
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Part One: Line DE is tangent to circle A at point E. If line CD = 8cm and line DE = 12cm, what is the length of line BC. (You may assume A, B, C, and D are colinear)
Part 2: What is the area and circumstance of Circle A
The length of line BC is 10cm ,The area of the circle is 78.5 cm² and The circumstance of Circle is 31.4 cm.
Part-1
To Find the length of BC, We have the lenghts of CD=8cm and DE=12cm
To find out length. We have to make a perpendicular line construction joins AE.
Triangle AED forms a right angled triangle.
As we all know pythagoras theorem.
Pythagoras formula c²=a²+b²
To findout radius of circle
Let AE=AC=r
AD=CD+AC
AD=8+r
AD²=AE²+DE²
Submit all values in the above equation.
(8+r)²=r²+12²
(a+b)²=a²+b²+2ab use the formula
64+r²+16r=r²+144
Cancel r² each other.
64+16r=144
16r=144-64
16r=80
r=5
Radius of the circle r=5cm
Therefore , the value of BC=2AC
BC=2r
BC=2*5
BC=10cm
The length of line BC is 10cm
Part-2
To find out area of the circle
We have the formula for area of circle.
Area=πr²
Area=(22/7)*5*5
Area=78.5 cm²
The area of the circle is 78.5 cm².
To find out the circumstance of Circle
We have the formula for circumstance of circle. 2πr
circumstance=2*(22/7)*5
circumstance=31.4 cm
The circumstance of Circle is 31.4 cm.
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Suppose a city with population 500,000 has been growing at a rate of 2% per year. If this rate continues, find the population of this city in 25 years
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &500000\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=\textit{elapsed time}\dotfill &25\\ \end{cases} \\\\\\ A = 500000(1 + 0.02)^{25} \implies A=500000(1.02)^{25}\implies A \approx 820303[/tex]
12 cm
12 cm
Work out the area of the
yellow part of the pattern
This is a pattern that is
being used to make a
patch quilt. Each pattern is
a square, measuring 12cm
by 12cm square. These are
the measurements of each
trapezium
3 cm
3 cm
9 cm
The area of the yellow part of the pattern is found as: 72 cm²
Explain about the square shape?It has four vertices and four sides. Its sides all equal in length. Since all interior angles being equal as well as right angles, they are all 90° in length. 360° is the total of all interior angles.In geometry, a square is a flat shape with 4 separate sides plus four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle .The dimension of the square: 12 x 12
Area of yellow part = Area of triangle with base height equals side of square.
Then,
Area of yellow part = 1/2 * B * H
Area of yellow part = 1/2 *12 *12
Area of yellow part = 72 cm²
Thus, the area of the yellow part of the pattern is found as: 72 cm².
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The correct question is-
Work out the area of the yellow part of the pattern. This is a pattern that is being used to make a patch quilt. The pattern is a square, measuring 12cm
by 12cm square.
A university law school accepts 4 out of every 11 applicants. If the school accepted 360 students, find how many applications they received.
Answer:
990 applicants
Step-by-step explanation:
We know
A university law school accepts 4 out of every 11 applicants.
If the school accepted 360 students, find how many applications they received.
To get from 4 to 360, we time 90
We take 11 times 90 = 990 applicants
So, they received 990 applicants.
The solution to a system of equations is (5, - 19). Choose two equations that might make up the system.
A. y = -3x - 6
b. y = 2x - 23
c. y = -7x + 16
d. y = x - 17
e. y = -2x - 9
The two equations that might make up the system is y = -7x + 16 and y = -2x - 9. Options C and E
What are linear equations?
Linear equations are defined as equations having its highest degree as 1.
From the information given, we have that;
The solutions are; (5, - 19)
From the equation(1):
y = -3x - 6
substitute the value of x
y = -3(5) - 6
y = -21
Equation (3)
y = -7(5) + 16
expand the bracket
y = -35 + 16
y = -19
y = -2x - 9
substitute the value
y= -2(5) - 9
y = -19
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Can y’all help me on number 9 please
Answer: [tex]y=(x-4)^2+(y+2)^2[/tex]
Step-by-step explanation:
Using the formula [tex]y=(x-h)^2+(y-k)^2[/tex] where the center is (h,k), find the center point. In this case, the center point is (4, -2). Plug it into the equation
I need help with this question can you also go step by step because tomorrow I have a quiz?
Answer:
3/5
Step-by-step explanation:
In your problem you have a right triangle.
For this problem, you need to know what sine is. Sin is [tex]\\\frac{opposite}{hypotenuse}[/tex]
In this problem we know that the hypotenuse is 20, but we do not know the opposite. The opposite refers to the side that is opposite to the angle. In this case, the angle we are using is c. Also, in this case, the name of the opposite side is ED. To figure out that side, we need to use the pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2}[/tex]
A is 16, c is 20
Therfore we can plug those values into our formula
[tex]16^{2} +b^{2}=20^{2}[/tex]
Simplify:
[tex]256 + b^{2} =400[/tex]
Simplify even more:
[tex]b^{2} = 144[/tex]
Square root both sides:
[tex]b = 12[/tex]
Now we Know all 3 sides of our triangle: 20, 16, and 12.
Sin refers to OPPOSITE/HYPOTENUSE
Our opposite is 12, and our hypotenuse is 20.
Plugging those values into our formula gives us:
12/20
Simplify:
3/5.
THERFORE, THE ANSWER IS 3/5
**Also, this whole process seems long, but in reality it is very short and you'll master it in no time!
A production line comprises three machines working independently of each other. For each machine, the probability of working through the day is p ∈ (0, 1) and may breakdown during a day with probability q = 1 − p, independently of its previous history. There is a single repairman who, if he has to, repairs exactly one machine overnight. If there is a machine not working by the end of the day, then the repairman works during the night. Let Xn denote the number of working machines at the end of day before the repairman begins any over-night repair.
a) Specify the state space of (Xn : n ≥ 0).
b) Determine the transition matrix in terms of p.
c) Given that 2 machines are idle tonight, what is the probability of one idle machine 3 nights later, if p = 0.8 (answer 6 decimal places).
The state space is {0, 1, 2, 3},
The transition matrix is : P = [[(1-p)³, 3p(1-p², 3p²(1-p), p^3], [(1-p)², 2p(1-p)²+2p(1-p)², 2p²(1-p)+2p²(1-p), 2p³], [(1-p), p(1-p)²+2p(1-p), p²(1-p)+2p², p³], [0, p(1-p), 2p², 3p³]], the probability of one idle machine 3 nights later is 0.33554432.
The state space of (Xn : n ≥ 0) is the set of all possible states that the system can be in at the end of a given day. The state space is {0, 1, 2, 3}, where 0 corresponds to all machines being broken, 1 corresponds to one machine working and two broken, 2 corresponds to two machines working and one broken, and 3 corresponds to all machines working.
The transition matrix is given by:
P = [[(1-p)³, 3p(1-p², 3p²(1-p), p^3], [(1-p)², 2p(1-p)²+2p(1-p)², 2p²(1-p)+2p²(1-p), 2p³], [(1-p), p(1-p)²+2p(1-p), p²(1-p)+2p², p³], [0, p(1-p), 2p², 3p³]]
Given that 2 machines are idle tonight (i.e., Xn = 1), the probability of one idle machine 3 nights later (i.e., Xn+3 = 2) is given by the (1, 2) entry of P^3, where P^3 is the matrix obtained by multiplying P by itself 3 times.
Using the given value of p = 0.8, we can calculate P^3 and find the (1, 2) entry to obtain the desired probability. The (1, 2) entry of P^3 is 0.33554432, so the probability of one idle machine 3 nights later is 0.33554432.
Therefore, the answer to part c is 0.335544.
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darr Question Details 9. Divide using synthetic division. (x^(3)-2x^(2)+10)-:(x-2)
The answer is: x^(2) + 20/(x-2)
Synthetic division is a method of dividing a polynomial by a linear factor. It is a shorthand version of long division that is quicker and easier to do.
Here are the steps to solve this problem using synthetic division:
1. Write the coefficients of the dividend in a row: 1 -2 0 10
2. Write the constant term of the divisor to the left of the row: 2 | 1 -2 0 10
3. Bring down the first coefficient: 2 | 1 -2 0 10
|_______
1
4. Multiply the first coefficient by the divisor and write the result under the second coefficient: 2 | 1 -2 0 10
|___2___
1 0
5. Add the second coefficient and the result: 2 | 1 -2 0 10
|___2___
1 0
6. Repeat the process with the remaining coefficients: 2 | 1 -2 0 10
|___2__0_20
1 0 0 20
7. The final row of numbers represents the coefficients of the quotient and the remainder: (x^(2) + 0x + 0) + 20/(x-2)
So, the answer is: x^(2) + 20/(x-2)
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After a number of months, a bank balance was -$46. 83. Each month, the bank charges a $5. 95 fee for having a negative balance. Write an inequality to determine at most how many months the fee was charged. Let x be how many months the fee was charged
If x is the number of months the fee was charged, then the inequality to determine at most months the fee was charged is x ≥ (y + 46.83)/5.95 .
Let x be the number of months the fee was charged.
Let y be the initial balance before the fee was charged.
So, we can write the inequality as : y - 5.95x ≤ -46.83
where y is = positive number representing the initial balance.
Since the initial balance is "y" , we can determine the value of x that satisfies this inequality.
The inequality is represented as : x ≥ (y + 46.83)/5.95 .
Therefore, the inequality to determine number of months is x ≥ (y + 46.83)/5.95.
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Find the inverse of the following matrix,
if it exists.
[ -1 0 1]
A = [ 2 2 0]
[ 1 0 1]
Inverse of the given matrix is
A⁻¹ = [0.5 0.5 -0.5]
[ 0 -0.5 -0.5]
[-0.5 -0.5 -0.5]
the matrix in question is
−1 0 1
2 2 0
1 0 1
now, we are given that inverse of the matrix exists.
A⁻¹ = adjoint of A/|A|
The determinant of the matrix A is:
det(A) = (-1) [(2)(1) - (0)(0)] - 0 [(2)(1)-(0)(1)] + 1 [(2)(0) - (2)(1)] = -4
The adjoint of the matrix A is:
2 2 −2
0 −2 −2
−2 −2 −2
Therefore, the inverse of the matrix A is:
A⁻¹ = 1/(-4) [2 2 −2]
[0 −2 −2]
[−2 −2 −2]
A⁻¹ = [0.5 0.5 -0.5]
[ 0 -0.5 -0.5]
[-0.5 -0.5 -0.5]
So, the inverse of the matrix A is:
A⁻¹ = [0.5 0.5 -0.5]
[ 0 -0.5 -0.5]
[-0.5 -0.5 -0.5]
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Write and solve the inequality.
Eight more than the quotient of a number b and 45 is greater than 6.
Fill in the boxes.
b
45
+8
b
45
6
-2
b
(Type integers or fractions.)
The answer choice which represents the solution to the inequality given as required is; b > -90.
What is the solution for b in the inequality?Quotient refers to a number resulting from the division of one number by another.
As evident in the task content; the given inequality is;
Eight more than the quotient of a number b and 45 is greater than 6.
The symbols of inequalities are;
Greater than >
Less than <
Equal to =
Greater than or equal to ≥
Less than or equal to ≤
Therefore, the algebraic expression is;
b/45 + 8 > 6
Therefore; b/45 > -2
b > -90.
Ultimately, the required inequality is; b/45 + 8 > 6 and it's solution is; b > -90.
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[tex]i^5\\[/tex]
help please
The expression i⁵ when evaluated is √-1 or i
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
i⁵
The above expression is a complex numbers expression
As a general rule, complex numbers are numbers that consist of both a real part and an imaginary part.
A complex number can be written in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -1.
Using the above as a guide, we have the following:
i⁵ = i⁴ * i
So, we have
i⁵ = (√-1)⁴ * i
Evaluate the exponent
i⁵ = 1 * i
So, we have
i⁵ = i or i⁵ = √-1
Hence, the solution to the expression i⁵ is √-1 or i
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Which inequality represents the graph? Iready Level F Write and Solve Inequalities
write the equation for the sequence below
Answer: x = p/2
Step-by-step explanation:
x = next one
p = previous
in order to solve the next one, you would do :
x (the one you are trying to solve) = p (the previous one : 1/8) divided by 2
x = p/2
Write the gradient and y-intercept of each line
a. Y=10x+20
b. Y=10-20x
c. Y=-2. 5+0. 5x
The required gradient and y-intercept for the given lines is given by ,
1. gradient = 10 and y-intercept = 20
2. gradient = -20 and y-intercept = 10
3. gradient = 0.5 and y-intercept = 2.5
Equation of a line in slope-intercept form = y = mx + c.
where 'm' is the slope of the line
And 'c' is the y-intercept.
For the line Y = 10x + 20
Compare with standard form we get,
Slope of the line is 10 .
And the y-intercept is 20.
This implies,
gradient is 10 and the y-intercept is (0, 20).
For the line Y=10-20x
Compare with standard form we get,
Slope of the line is -20
And the y-intercept is 10.
This implies,
the gradient = -20
And the y-intercept = (0, 10).
For the line Y=-2. 5+0. 5x
Compare with standard form we get,
Slope of the line is 0.5
And the y-intercept is -2.5
This implies,
the gradient = 0.5
And the y-intercept = (0, -2.5)
Therefore, the gradient and the y-intercept for each line is equal to,
Y=10x+20 , gradient = 10 and y-intercept = 20
Y=10 -20x , gradient = -20 and y-intercept = 10
Y=-2. 5+0. 5x , gradient = 0.5 and y-intercept = 2.5
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Hellppppp me with mathh
Answer:
20.50 + 10m
Step-by-step explanation:
Basic expression:
8.50 + 12 + 6.25m + 3.75m
First, let's add the base payments which are 8.50 and 12.
8.50 + 12 = 20.50.
Now we have 20.50 + 6.25m + 3.75m
Next we have to add the monthly payments.
Assuming she's paying these all at the same time, 6.25m + 3.75m = 10m
Our finalized expression is:
20.50 + 10m = Club costs
help me do this pls it is to hard
The fraction amount of pizza eaten is given by A = ( 5/6 ) of the pizza
The amount of pizza left over B = ( 1/6 ) of the pizza
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction of pizza eaten be represented as A
Now , the value of A is
Let the amount of pizza eaten by Tyler be p = ( 1/2 ) of the pizza
Let the amount of pizza eaten by Dean be q = ( 1/3 ) of the pizza
Now , the fraction of pizza eaten A = p + q
On simplifying , we get
The fraction of pizza eaten A = ( 1/2 ) + ( 13 )
The fraction of pizza eaten A = ( 3 + 2 ) / 6
The fraction of pizza eaten A = ( 5/6 ) of the pizza
And , the amount of pizza left B = 1 - A
On simplifying , we get
The amount of pizza left = 1/6 of the total pizza
Hence , the fractions are solved
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Determine whether the lines L1(t) = ⟨3 − t, 8 − 3t, 1 − t⟩ and
L2(s) = ⟨−1 − 2s, 3 + s, s⟩ intersect. If they do, state where they
intersect.
The answer of lines intersect at the point is (1, 2, -1)
To determine whether the lines L1(t) = ⟨3 − t, 8 − 3t, 1 − t⟩ and L2(s) = ⟨−1 − 2s, 3 + s, s⟩ intersect, we need to find a value of t and s that make the x, y, and z components of both lines equal.
First, let's set the x components of both lines equal to each other:
3 − t = −1 − 2s
Next, let's set the y components of both lines equal to each other:
8 − 3t = 3 + s
Finally, let's set the z components of both lines equal to each other:
1 − t = s
Now we can solve for t and s. From the first equation, we get:
t = 4 + 2s
Substituting this value of t into the second equation, we get:
8 − 3(4 + 2s) = 3 + s
Simplifying this equation gives us:
-4 − 6s = 3 + s
Solving for s gives us:
s = -1
Substituting this value of s back into the first equation gives us:
t = 4 + 2(-1) = 2
So the lines intersect at t = 2 and s = -1. To find the point of intersection, we can substitute these values back into either line equation. Substituting into L1(t) gives us:
L1(2) = ⟨3 − 2, 8 − 3(2), 1 − 2⟩ = ⟨1, 2, -1⟩
Therefore, the lines intersect at the point (1, 2, -1).
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BM bisects ABC. If MBC = 32°, what is the ABC?
The measure of angle ABC is 64°.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
Given that, BM bisects ∠ABC and ∠MBC=32°.
Here, ∠ABC=∠MBC+∠MBA
Since, BM bisects ∠ABC, ∠MBC=∠MBA
∠ABC=∠MBC+∠MBC
∠ABC=2∠MBC
∠ABC=2×32°
∠ABC=64°
Therefore, the measure of angle ABC is 64°.
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I NEED HELP ON THIS ASAP!!!
Find out how long it takes a $2500 investment to earn $400 interest if it is invested at 8% compounded quarterly. Round to the nearest tenth of a year
It will take approximately 2.9 years (or 2 years and 11 months) for the $2500 investment to earn $400 interest at a rate of 8% compounded quarterly.
A = [tex]P(1 + r/n)^{nt}[/tex]
Where:
A = the total amount that includes principal and interest, P = the principal that is the initial amount invested, r = the annual interest rate, n = the number of times is the interest is compounded per year, and t = the time
$2900 = [tex]$2500(1 + 0.08/4)^{4t}[/tex]
Simplifying this equation, we get:
1.16 = (1 + 0.02
By calculating the natural logarithm of both sides, we arrive at:
ln(1.16) = 4t ln(1.02)
t ≈ 2.9 years
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If f (x = x-2) any y (x) = -2 x +7 what value makes f (x) =y (x) ?
The x number for which the following functions are equivalent is determined to be 3 by the preceding statement.
What is a simple definition of a function?The term "function" refers to the correlation between a set of inputs and outputs. Simply defined, a function is an input-output relationship where each input is coupled to exactly one output.
The given functions are f(x) = x - 2 and f(x) = -2x + 7.
Assign the functions the following equivalences to determine the value of x:
variable x - 2 = -2x + 7
variable x + 2x = 7 + 2
Therefore, x = 3
Hence, the specified value for x is 3.
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PLEASE ANSWER ASAPP!!!! At a carnival game, it cost Taylor $6 to toss 63 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
The coordinates to plot a graph are (2,0.19), (42,4), (63,6).
Describe Graph?A graph is a visual representation of data that shows the relationship between variables. It consists of a set of points or vertices, connected by lines or curves called edges or arcs. Graphs are commonly used in mathematics, statistics, and other fields to display information in a way that is easy to understand and interpret.
There are several different types of graphs, including:
Line Graphs: Line graphs show the relationship between two variables using a continuous line. They are often used to display trends over time, such as stock prices or temperature changes.
Bar Graphs: Bar graphs use bars of different lengths to represent data. They are often used to compare different sets of data or to show the frequency of different values in a data set.
TOSS DOLLARS
2 0.19 (rounded to nearest cent)
42 4
63 6
To plot the points on a coordinate axes, you can use the TOSS values on the x-axis and the DOLLARS values on the y-axis. For example, the point (2, 0.19) would be plotted with 2 on the x-axis and 0.19 on the y-axis. Similarly, the point (42, 4) would be plotted with 42 on the x-axis and 4 on the y-axis, and the point (63, 6) would be plotted with 63 on the x-axis and 6 on the y-axis.
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Pencil Problen Find all real numbers that mus the domain of each rational e? (x+5)/(x^(2)-25)
In interval notation, the domain can be written as: (-∞, -5) ∪ (-5, 5) ∪ (5, ∞). In set notation, the domain can be written as: {x ∈ ℝ | x ≠ -5 and x ≠ 5}
To find the domain of the given rational expression, we need to determine the values of x that make the denominator equal to zero. This is because division by zero is undefined and therefore, these values of x cannot be included in the domain.
The denominator of the given expression is x^(2)-25. We can set this equal to zero and solve for x:
x^(2)-25=0
(x+5)(x-5)=0
x=-5 or x=5
These values of x make the denominator equal to zero, so they cannot be included in the domain. Therefore, the domain of the given rational expression is all real numbers except -5 and 5.
In interval notation, the domain can be written as: (-∞, -5) ∪ (-5, 5) ∪ (5, ∞)
In set notation, the domain can be written as: {x ∈ ℝ | x ≠ -5 and x ≠ 5}
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Axis of symmetry for f(x)=-(x-7l^2 -30
The axis of symmetry for the function f(x) = -(x-7)² - 30 is x = 0.
What is a function?A relation is a function if it has only One y-value for each x-value.
To find the axis of symmetry for the function f(x) = -(x-7)²- 30
We can use the formula:
x = -b/2a
where a and b are the coefficients of the quadratic term and the linear term in the function, respectively.
In this case, the quadratic term is -(x-7)² and the linear term is -30, so a = -1 and b = 0.
Substituting these values into the formula, we get:
x = -0/(2(-1)) = 0
Therefore, the axis of symmetry for the function f(x) = -(x-7)² - 30 is x = 0.
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What is the value of X?
The measure of angle x is 19.5
What is Angle Sum Property?Octagon interior angles sum is equal to 1080 degrees. Also, the sum of all eight exterior angles is equal to 360 degrees.
We have Polygon of 8 side called Octagon.
Also, a Regular Octagon have all of its angles equal
So, Using Angle Sum Property
sum of all internal angle of Octagon = 1080
8 x 6(x+3)= 1080
6(x+3) = 1080/8
6x+ 18 = 135
6x = 135- 18
6x = 117
x= 19.5
Thus, the value of x is 19.5
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help me please, I been trying to get help for hours now.
We can conclude that -
General exponential growth equation is : [tex]$f(x)=a(1+r)^{x}[/tex]General exponential decay equation is : [tex]$\frac {dN}{dt}= -\lambda N[/tex]Option {A} and option {E} represent the exponential decay.Option {B}, {E} and {D} represent exponential growth.What is exponential function?The exponential function is of the form -
f(x) = eˣ
Given is to write the exponential growth and exponential decay equation.
{ 1 } -
The general exponential growth equation is -
[tex]$f(x)=a(1+r)^{x}[/tex]
{ 2 } -
The general exponential decay equation is -
[tex]$\frac {dN}{dt}= -\lambda N[/tex]
Option {A} and option {E} represent the exponential decay. Option {B}, {E} and {D} represent exponential growth.
Therefore, we can conclude that -
General exponential growth equation is : [tex]$f(x)=a(1+r)^{x}[/tex]General exponential decay equation is : [tex]$\frac {dN}{dt}= -\lambda N[/tex]Option {A} and option {E} represent the exponential decay.Option {B}, {E} and {D} represent exponential growth.To solve more questions on functions, visit the link-
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Happy Paws charges $18.00 plus $2.50 per hour to keep a dog during the day. Woof Watchers charges $12.00 plus $3.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.
The total cost of the services from Happy Paws and Woof Watchers will be equal if the dog is kept for 12 hours.
How Do You Solve Linear Equations?Finding the answer to a linear equation with one, two, three, or more variables is known as solving a linear equation. A linear equation's solution is, to put it simply, the value or values of the variables that make up the equation. Any coefficient can be deleted using the elimination procedure after being initially equated. Elimination is followed by equations being solved to get the other equation.
Let us suppose the number of hours = h.
Given that, Happy Paws charges $18.00 plus $2.50 per hour.
H = 18 + 2.50h
Woof Watchers charges $12.00 plus $3.75 per hour.
W = 12 + 3.75h
The cost is equal for:
18.00 + ($2.50 x h) = $12.00 + ($3.75 x h)
18 - 12 = 3.75h - 2.50h
h = 12
Hence, the total cost of the services from Happy Paws and Woof Watchers will be equal if the dog is kept for 12 hours.
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guys i need this asap PLEASE