To find the coordinates of point K on the segment JL such that JK is 3/7 of JL, we calculate the change in x and y coordinates from J to L, multiply them by 3/7, and add them to the coordinates of J. This gives us the coordinates of point K as (-9, 5).
To find the coordinates of point K, we need to determine a point that lies on the segment JL and is 3/7 of the distance from J to L.
Step 1: Find the difference between the x-coordinates of J and L:
Δx = Lx - Jx = 3 - (-18) = 21
Step 2: Find the difference between the y-coordinates of J and L:
Δy = Ly - Jy = (-11) - 17 = -28
Step 3: Multiply the differences by 3/7 to find the change in x and y coordinates from J to K:
Δx' = (3/7) * Δx = (3/7) * 21 = 9
Δy' = (3/7) * Δy = (3/7) * (-28) = -12
Step 4: Add the change in x and y coordinates to the coordinates of J to find the coordinates of K:
Kx = Jx + Δx' = -18 + 9 = -9
Ky = Jy + Δy' = 17 + (-12) = 5
Therefore, the coordinates of point K are (-9, 5).
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The complete question is:
The point K lies on the segment JL.
Find the coordinates of K so that JK is 3/7 of JL.
J= (-18, 17)
K=(?,?)
L= (3,-11)
Find the coordinates of K.
what is the probability that a number selected at random from integers 3 to 30 inclusive is a multiple of 3
Answer:
5/14 if I'm not wrong!
I hope it will be useful.
Step-by-step explanation:
What is the linear distance traveled in one revolution of a 36-in diameter wheel.
The linear distance traveled in one revolution of a wheel can be calculated using the formula:
Circumference = π * Diameter
Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:
Circumference = π * 36 inches
Using an approximate value of π as 3.14159, we can calculate the circumference:
Circumference ≈ 3.14159 * 36 inches
Circumference ≈ 113.09724 inches
Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.
A store wants to mark up
their prices by 12%.
What would the markup
be on a $40 lamp?
What is the final price?
And how did you solve it
Answer:Plus, calculate your profit margins, total revenue and more with FreshBooks ... Whether you sell online or in a retail store, you can set the perfect price for each ... service sold, you want to charge a price that's a percentage above how much it costs ... If Product A costs $10, the marked-up selling price would be $15 ( $10 x .50 ...
Step-by-step explanation:
Plus, calculate your profit margins, total revenue and more with FreshBooks ... Whether you sell online or in a retail store, you can set the perfect price for each ... service sold, you want to charge a price that's a percentage above how much it costs ... If Product A costs $10, the marked-up selling price would be $15 ( $10 x .50 ...
Answer:
$44.80
Step-by-step explanation:
Here' s an equation to help you with percent problems: part %
------- = -----
whole 100
Because you want to find 12%, the % in the equation would be replaced with 12. The part would be x because that's what u need to find. The whole would be 40. Cross multiply to get 100x = 480. Divide 480 by 100 to get x = 4.80. Add 4.80 to 40.00 to get the final price. The final price is $44.80.
Tina is playing a computer game. She starts with 100 points, and she loses points based on the following rules: • Each time a player passes a level, 8 points are lost. • Each time a player catches a flower, 3 points are lost. Suppose Tina catches 6 flowers per level, on average. Solve an inequality to determine the number of levels she must complete to have fewer than 20 points left.
Answer: she must complete 4 levels to have a point fewer than 20
Step-by-step explanation:
Given the following :
Starting point = 100 points
Passing a level = - 8 points
Catching a flower = - 3 points
Suppose Tina catches 6 flowers per level
Number of levels she must complete to have fewer Than 20 points
Total number of points lost per level:
Catching 6 flowers = -(6 × 3)
Passing the level = - 8
= - 18 + - 8 = - 26 points
Number of levels she must complete to have < 20
Let number of levels = y
Starting points - (26 × number of levels) < 20
100 - (26y) < 20
100 - 26y < 20
-26y < 20 - 100
-26y < - 80
y > 80/26
y > 3.07
Hence she must complete 4 levels to have a point fewer than 20
The following is an example of Partial Initialization of an array. int num]= (88, 92, 75, 95, 82): True False Moving to another question will save this response. hp
Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values.
The statement you provided, `int num]= (88, 92, 75, 95, 82)`, contains syntax errors and is not a valid example of partial initialization of an array in C or C++.
To understand partial initialization of an array, let's consider a correct example. Suppose we have an integer array named `num` with a size of 10. We want to initialize the first five elements of the array with specific values, and the remaining elements should be set to 0. Here's how partial initialization would look like:
int num[10] = {88, 92, 75, 95, 82};
In this example, we declare an integer array `num` with a size of 10. We provide an initializer list inside curly braces `{}` to initialize the elements of the array. The first five elements are explicitly initialized with values `88`, `92`, `75`, `95`, and `82`. The remaining elements are automatically set to 0 because we haven't provided explicit values for them.
Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values. It's particularly useful when we want to set certain values while keeping others as defaults, such as zero in the case of integers.
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suppose that quiz scores in a beginning statistics class have a mean of 7.5 with a standard deviation of 0.4 . using chebyshev's theorem, state the range in which at least 88.9% of the data will reside. please do not round your answers.
At least 88.9% of the quiz scores in a beginning statistics class will reside within the range of 6.3 to 8.7, without rounding.
SOLUTION:
By using Chebyshev's Therem.
Chebyshev's Theorem states that for any dataset, the proportion of data within k standard deviations from the mean is at least (1 - 1/k^2).
Step 1:
Calculate the value of k.
Since we want at least 88.9% of the data within the range,
we can set up the equation as follows:
(1 - 1/k^2) ≥ 0.889
Solving for k:
1 - 0.889 = 1/k^2
0.111 = 1/k^2
k^2 = 1/0.111
k ≈ 3
Step 2:
Calculate the range using the value of k, mean, and standard deviation.
Lower Bound = Mean - k * Standard Deviation
Upper Bound = Mean + k * Standard Deviation
Lower Bound = 7.5 - (3 * 0.4) = 7.5 - 1.2 = 6.3
Upper Bound = 7.5 + (3 * 0.4) = 7.5 + 1.2 = 8.7
Using Chebyshev's Theorem, at least 88.9% of the quiz scores in a beginning statistics class will reside within the range of 6.3 to 8.7, without rounding.
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What is the answer plz help
Answer:
1 < x < 17
Step-by-step explanation:
9, 8
Third side should be less than 9 + 8 = 17
And it should be greater than 9 - 8 = 1
what is the answer to this fraction 2/6+5/6
Answer:
1 1/6
Step-by-step explanation:
2+5/6=7/6 but it is an improper fraction so you turn it into a mixed fraction which is one whole number one over six
Answer:
7/6
Step-by-step explanation:
because the denominator are the same we add the numerator
The cost of 5 scarves is $33.75. What is the unit price?
Answer:
$6.75
Step-by-step explanation:
Divide 33.75 by 5, they are $6.75 each
Solve Problems
Use the equation y=-4x + 1 to complete
the function table. Then, fill in the
change-in-x and the change-in-y
X: -2, -1,0, 1,2
Y: 9,5,
Answer:
The change in X=1 Y=-4
Step-by-step explanation:
-2 + 1 = -1
9 - 4 = 5
I will mark brainliest: ;
Task 9
Here is an equation:
15(x-3)/5 = 3(2x-3)
Solve the equation by using the distributive property first.
Then solve without using the distributive property and
check your solution.
Answer:
x=0
Step-by-step explanation:
ima break it apart so it is easier to understand, going from left to right.
15(x-3)/5 you will distribute the 15 to the x and the -3
15x-45/5 you will divide 5 to both the 15x and the 45
3x-9 it will now be combined with the right side
now on the right side:
3(2x-3) you will distribute the 3 to the 2x and -3
6x-9 will now be combined with the left side
combining the left and right.
3x-9=6x-9 combine both 'x' es and constants
3x-6x=9-9 solve
-3x=0 divide
-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)
x=0
without distributive property
15(x-3)/5=3(2x-3) remove the parenthesis from the left side
3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides
3x-9=6x-9 the rest is the same as in the combined section up above.
i hope this helps
The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0
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 equation be A
Now , the value of A is given by
15 ( x - 3 ) / 5 = 3 ( 2x - 3 )
By using the distributive property , we get
On opening the bracket , we get
( 15x - 45 ) / 5 = 6x - 9
Divide by 5 on LHS , we get
3x - 9 = 6x - 9
Subtracting 6x on both sides of the equation , we get
-3x - 9 = - 9
Adding 9 on both sides , we get
-3x = 0
x = 0
Now , without using distributive property , we get
The equation is
15 ( x - 3 ) / 5 = 3 ( 2x - 3 )
Divide by 5 on both sides , we get
3 ( x - 3 ) = 3 ( 2x - 3 )
Divide by 3 on both sides , we get
x - 3 = 2x - 3
Adding 3 on both sides of the equation , we get
x = 2x
Subtracting x on both sides , we get
x = 0
Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0
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Please answer correctly! I will mark you as Brainleist!
Answer:
a
Step-by-step explanation:
Answer:
The answer is 4 cm
Step-by-step explanation:
Volume of the triangular prism = 544 m³
height of the prism (h) = 17 m
Also
Volume of the prism = Area of base * height
544 = Area of base * 17
Area of base = 544 / 17
Area of base = 32 m²
Now
Base of the triangle (b) = 16 m
Area of the triangle = 32 m³
height (h) = ?
We know
Area of triangle = 1/2 * b * h
32 = 1/2 * 16 * height
32 * 2 / 16 = height
height of the triangle = 4 m
Hope it will help :)❤
Translate the following phrase into an algebraic expression. Do not simplify.6 less than the sum of y and x
6 less than "something" can be written as "something" - 6.
In this case, "something" is "the sum of y and x", which can be written as x + y
So, putting them togethre, we have:
\(x+y-6\)In a free enterprise economy, who controls society and resources?
Answer:
Free enterprise, also known as free market or capitalism, is an economic system driven by supply and demand. Private businesses and consumers control the marketplace with little to no interference from the government. In this type of system, the government does not have a central plan for the nation's economy.
Step-by-step explanation:
“Each figure is a parallelogram. Solve for x. Give your reason.” - I need help :/
Fastco Corp. reports net income of $12,000, and other comprehensive loss of $3,000 (net of tax) for the year ended December 31, 2020. The December 31, 2020, balance in accumulated other comprehensive income is $6,800 (credit balance) and the balance in retained earnings is $60,000 (credit balance). The ending balance in accumulated other comprehensive income on December 31, 2019 is
The ending balance in accumulated other comprehensive income on December 31, 2019, is $10,200 (credit balance).
To determine the ending balance in accumulated other comprehensive income on December 31, 2019, we need to analyze the changes in comprehensive income and other comprehensive loss. The net income of $12,000 and other comprehensive loss of $3,000 (net of tax) for the year ended December 31, 2020, indicate that the comprehensive income for the year is $9,000 ($12,000 - $3,000).
The ending balance in accumulated other comprehensive income can be calculated by adding the comprehensive income for the year to the beginning balance in accumulated other comprehensive income. Given that the ending balance on December 31, 2020, is $6,800 (credit balance), we can derive the beginning balance in accumulated other comprehensive income on December 31, 2019, by subtracting the comprehensive income for the year ($9,000) from the ending balance on December 31, 2020. Therefore, the ending balance in accumulated other comprehensive income on December 31, 2019, is $10,200 (credit balance).
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so if Johnny had 3×6 amount if dish soap. How much dish soap would he have?
Answer:
18
Step-by-step explanation:
3x6=6x3=6+6+6=12+6=18
a²+2(b-6)-17
(if a = -7 and b = 2)
Answer:
24
Step-by-step explanation:
a = -7
b = 2
Plug in values into equation:
a²+ 2(b-6) - 17
= (-7)² + 2(2-6) - 17
= 49 + 2(-4) - 17
= 49 - 8 - 17
= 24
The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. This foundation was created to help ease the pain of HIV/AIDS in Africa. Lewis, a Canadian, works for the United Nations trying to determine ways to stop the spread of this deadly disease from crippling an entire continent. [ /6A] Choose a variable to represent the money earned during fundraising activities and the revenue generated for the foundation. [1A] Use these variables to create an equation that will determine the amount of money the foundation will receive. [1A] In their latest bake sale, the club raised $72. Calculate the amount the foundation will receive. [2A] At the end of the year, the World Issues Club mailed a cheque to the foundation for $850. How much money did they fundraise in total? [2A]
Answer:
y=0.6x
(a)$43.20
(b)$1416.67
Step-by-step explanation:
Let:
The amount raised during fundraising activities= mThe amount the foundation will receive =nThe club donates 60% to the foundation.
Therefore, the amount of money the foundation will receive
n=60% of m
n=0.6m
(a) If the club raised $72
m=$72
n=0.6*72
The amount of money the foundation will receive, n=$43.20
(b)If the foundation received a cheque of $850
n=$850
Therefore:
850=0.6m
m=850/0.6
m=$1416.67
The club raised $1416.67 in total for the year
Please answer this :(
Answer:
a = 4, b = 5
Step-by-step explanation:
we need to complete the square to get it in that form.
x^2 - 8x + 21
= x^2 - 8x + 16 + 5
= (x-4)^2 + 5
a = 4, b = 5
Which expression is equivalent to 8x -2y + x + x?
A. 4x
B. 8x
C. 6x - 2y
D. 10x -2y
Answer:
It is "C"
Step-by-step explanation:
I know this because I just did this test
consider the following random walk process: yt=α0+yt-1+et, t = 1, 2, ... where {et: t = 1, 2, ...} is i.i.d. with a mean of zero and variance of σ2e
This equation, yt = α0 + yt-1 + et, is an autoregressive model of order one. This model is also known as an AR(1) model.
Consider the following random walk process: yt = α0 + yt-1 + et, t = 1, 2, ... where {et: t = 1, 2, ...} is i.i.d. with a mean of zero and variance of σ²e. In the equation for the random walk, the value of y_t depends on its previous value y_{t-1} plus a new term e_t. Here, α0 represents the constant or intercept term. The errors e_t are considered to be independent and identically distributed (i.i.d.) with a mean of zero and variance of σ²e.A random walk is a type of time series model that describes the random fluctuations of a variable over time. It is said to be a stochastic process because its future values cannot be predicted with complete accuracy. Instead, the future values of a random walk are probabilistic and are influenced by the current and past values of the series. The random walk model is widely used in finance to model stock prices and exchange rates. It is also used in physics and chemistry to model the random motion of particles.
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The random walk process is useful in time series analysis because it is a simple model that can be used to generate forecasts. It is also useful for testing the hypothesis of a random walk. If the random walk hypothesis is true, then the value of y at any point in time should be equal to the value of y at the previous point in time plus a random error. If the hypothesis is not true, then the value of y at any point in time should be influenced by other factors.
A random walk is a process in which future values are obtained by adding the value of the current period to a random error term. The current period value is not directly observable, and it can be approximated by taking the difference between the value in the current period and the value in the previous period. The model is:yt=α0+yt−1+et, t=1,2,….Here, {et:t=1,2,…} is i.i.d with a mean of zero and variance of σe2.The general equation for the random walk is:yt=yt−1+etwhere α0 is usually set to zero. This means that the value of y at any point in time is equal to the sum of the value of y at the previous point in time plus a random error. The value of y at the first point in time is unknown. We call the random walk process "nonstationary" because the variance of y increases over time.If we take the difference between the value of y at two points in time, we get:yt−yt−1=etThis is called the first difference of y. If we take the second difference of y, we get:(yt−yt−1)−(yt−1−yt−2)=et−et−1which is equal to:yt−2yt−1=et−et−1This means that the second difference of y is equal to a new error term that is created by subtracting two consecutive error terms. The second difference of y is called the "seasonal difference."When we take the first difference of y, we get a new series called the "first difference." If we take the second difference of y, we get a new series called the "second difference." In general, if we take the nth difference of y, we get a new series called the "nth difference."
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Q11) A rectangular plate (a x b), left kept at zero degree, right is well insulated. Bottom given zero degree, top given temperature = f(x). Find temperature dist.
Consider a rectangular plate with dimensions a x b, where the left side is kept at zero degrees Celsius, the right side is well insulated, the bottom is also maintained at zero degrees Celsius, and the top side has a specified temperature distribution given by f(x). We are tasked with finding the temperature distribution across the plate.
To determine the temperature distribution across the rectangular plate, we need to solve the heat conduction equation or the Laplace equation, depending on the specific conditions and boundary conditions of the problem.
The heat conduction equation is a partial differential equation that describes how heat flows within a medium. In this case, we will need to consider the two-dimensional heat conduction equation to account for the temperature variation in both the x and y directions of the plate.
However, to provide a more detailed explanation and specific solution, we would require additional information, such as the functional form of f(x) and the specific boundary conditions (if any) on the sides of the plate. These details are crucial in formulating and solving the appropriate mathematical model for temperature distribution.
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Some nations require their students to pass an exam before earning their primary school degrees or diplomas. A certain nation gives students an exam whose scores are normally distributed with a mean of 414141 points and a standard deviation of 999 points. Suppose we select 222 of these testers at random, and define the random variable ddd as the difference between their scores. We can assume that their scores are independent.
Using subtraction of normal variables, it is found that there is a 0.5704 = 57.04% probability that their scores are within 10 points of each other.
What is Normal Probability Distribution?In a normal distribution with mean and standard deviation, the z-score of a measurement X is given : Z = (X - )/
It determines how far the measure deviates from the mean.
We look at the z-score table after determining the z-score to determine the p-value, which is the percentile of X.
The mean is calculated by subtracting the means of two normal variables, whereas the standard deviation is calculated by taking the square root of the sum of the variances.
How to solve the question?
Two variables from the same population, with mean 41, are subtracted, hence the mean of the distribution of the subtraction is μ = 41-41 = 0
For each variable, the standard deviation is of 9, hence the standard deviation of the distribution of the subtraction is σ = √9² +9² = 12.73
The probability that their scores are within 10 points of each other is the probability that the subtraction is between -10 and 10, that is, the p-value of Z when X = 10 subtracted by the p-value of Z when X = -10.
X = 10:
Z = (X - μ)/σ = 0.79 has a p-value of 0.7852.
X = -10:
Z = (X - μ)/σ = - 0.79 has a p-value of 0.2148.
0.7852 - 0.2148 = 0.5704.
0.5704 = 57.04% probability that their scores are within 10 points of each other.
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Homework: Section 11.1 Question 7. Complete the square to find the x-intercepts of the function given by the equation listed. f(x)=x² +34x+104 What are the x-intercepts? **** (Simplify your answer. T
Answer:
x² + 34x + 104 = 0
x² + 34x = -104
x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²
x² + 34x + 17² = -104 + 17²
x² + 34x + 289 = 185
(x + 17)² = 185
x + 17 = +√185
x = -17 + √185
What is 380.5 rounded to the nearest whole number
Answer:
It will be 381. You round up if it is five and over, and round down if 5 and below.
Step-by-step explanation:
A decimal cannot be a whole number so rounding to the nearest whole number means getting rid of the decimal. You do this by rounding up if it 5 and up, and rounding down if it is 5 and below. 380.5 means you would round up to 381. If it it were 380.4, you would round down to 380.
Answer:
381
Step-by-step explanation:
any number 5 and over will round up
Pls Answer for 100 brainlists (Down below) I would really appreciate it
The solution to the equation is x = 105/14 and y = -27/2
What is Simultaneous Linear Equation?Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution.
Methods of solving simultaneous equationsWe use different methods to solve simultaneous equations. Some of the common methods are:
Substitution MethodElimination MethodGraphical MethodBy substitution method
-7x + -5y = 15 ----- 1
7x + 3y = 12 ----- 2
from equation 1
7x = -15 -5y ----- 3
substitute 7x in equation 2
-15 - 5y + 3y = 12
-2y = 12 + 15
-2y = 27
y = -27/2
To find x, substitute y in equation 3
7x = -15 - 5(-27/2)
7x = -15 + 135/2
Multiplying both sides by 2
14x = -30 + 135
14x = 105
x = 105/14
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A landscaper is designing a display of flowers for an area in a public park. The flower seeds will be planted at points that lie on a circle that has a diameter of 8 feet. the point where any seed is planted must be 2 feet away from the seeds on either side of it. what is the maximum number of flower seeds that can be planted using the design?
after planting the flower seeds the landscaper has 20 seeds left over. the landscaper wants to plant all of the remaining seeds in another circle so that the seeds are 2 feet apart. what is the diameter of the smallest circle that the landscaper can use to plant all of the remaining seeds?
The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.
The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.
How to find the Z score
P(Z ≤ z) = 0.60
We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.
Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.
For the second question:
We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:
P(Z ≥ z) = 0.30
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).
Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.
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Money in a particular savings account increases by about 6% after a year how much money will be in the account after one year if the initial amount is $100 $50 $200 $125 x dollars if you get stuck consider using diagrams or a table to organize your work.
Step-by-step explanation:
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