Step-by-step explanation:
8x + 24 is a simplified expression.
It is not an equation, so it can't be solved.
There are two terms in 8x + 24, 8x and 24.
The two terms are unlike terms, so they cannot be combined together.
Math 8
Writing Equations from a Graph
Date
Find the slope, y intercept and two points on each line. Then write the equation for each line.
Answer:
1. y=2x+4
2. y=x
3. y=-1/2x+1
4. y=-x+1
Step-by-step explanation:
the formula for these are y=mx+b. Your slope would be m and y intercept would be b. so y=2x+4 would mean that the slope is 2 and y intercept is 4. you can find the points by checking what points are on the blue line.
a parameter represents: an unbiased estimator of the population mean. fixed characteristics of a population. certain characteristics of a random sample. fixed characteristics of a nonprobability sample. the geographical boundary of a population.
Parameter are values that represents fixed characteristics of a population.
What is a parameter?
The parameter is an important component in statistical analysis because it describes fixed characteristics of the given population. The way to conclude the population characteristics is to perform statistical analysis on a sample of the population then calculate it with the parameter formula. The most commonly used parameters are mean, median, and mode. Data distribution of a ratio can be described by mean. The Median is used to calculate the variables of data distribution which has a few data points that are different. Mode is used to know which number appears the most in a data distribution.
Based on statistical calculations from the existing population sample, conclusions can be drawn regarding the fixed characteristics of the entire population using parameters.
Hence, a parameter represents fixed characteristics of a population.
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Write the prime factorization of 27.
Order the factors from least to greatest (for example, 2 × 2 × 3 × 5).
Answer:
3*3*3 or 3^3
Step-by-step explanation:
27/3=9/3=3
so 3*3*3 or 3^3
8 Here are the descriptions of two numbers.
The smallest multiple of 5 greater than 1000
The largest multiple of 9 with three digits
Work out the difference between these two numbers.
The linear equation y = negative 2 x + 4 is represented on the graph below.
On a coordinate plane, a line goes through (0, 4) and (2, 0).
A second linear equation is represented by the data in the table.
x
y
–4
–3
0
–1
2
0
6
2
What is the solution to the system of equations?
(2, 0)
(0, 4)
(0, –1)
(4, –4)
The solution to the system of equations will be;
⇒ (2, 0)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The first equation is,
y = - 2x + 4
And, A line goes through (0, 4) and (2, 0).
Now,
For the second linear equation;
The coordinates are,
(-4, -3) (0, -1) , (2, 0) , (6, 2)
Hence, The equation of line passes through the points (-4, -3) and (0, -1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - (-3)) / (0 - (-4))
m = 2 / 4
m = 1/2
Thus, The equation of line with slope 1/2 is,
⇒ y - (-3)= 1/2 (x - (-4))
⇒ y + 3 = 1/2 (x + 4)
⇒ y = 1/2x + 2 - 3
⇒ y = 1/2x - 1
Now, We find the value of system of equations;
y = - 2x + 4
y = 1/2x - 1
Solve both above equation, we get;
1/2x - 1 = - 2x + 4
1/2x + 2x = 4 + 1
5/2x = 5
x = 2
And, y = 1/2 (2) - 1 = 0
Thus, The solution to the system of equations will be;
⇒ (2, 0)
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Answer:
A
Step-by-step explanation:
what does the adjusted r squared tell us about the relationship between sales, price, and advertising? the model explains about 90% of the variance in sales. the model explains about 60% of the variance in sales. the model explains about 80% of the variance in sales. the model explains about 70% of the variance in sales.
The modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
Define the term adjusted r squared?R-squared (R2) would be a statistical measure that quantifies the proportion of the variation explained from an independent variable other variables within a regression model for a dependent variable.
R-squared describes how much the variance with one variable describes the variance of the other. So, if a model's R2 is 0.50, the model's inputs can explain roughly half of a observed variation.A score of 70 to 100 shows that a specific portfolio closely reflects the underlying stock index, whereas a score of 0 to 40 indicates a relatively poor correlation the with index.Higher R-squared scores also suggest that beta measurements are more reliable. The volatility of either a security or portfolio is measured by beta.Thus, the modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
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evaluate the expression 8.2x- 6.1 when x=7
Answer:
51.3
Step-by-step explanation:
Since it's telling us that (x=7) then that means 8.2x is going to be multiplied
8.2(7) or 8.2 x 7.
Then you end up getting an answer of 57.4
But you are not finished yet and need to subtract 6.1
so 57.4 - 6.1 = 51.3
And your result will be (51.3)
I hope this helps you understand this problem!
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
Two friends visited a taffy shop. Gordon bought 8 pounds of strawberry taffy and 3 pounds of banana taffy for $66. Next, Levi bought 10 pounds of strawberry taffy and 3 pounds of banana taffy for $78. How much does the candy cost?
I NEED AN ANSWER ASAP LIKE BEFORE TOMORROW
The equation formation is the form of a real word problem for some of them, thus the cost of candy for the given condition is $6.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
As per the given,
Let's say the cost per pound of strawberry taffy is "s" and the cost per pound of banana taffy is "b".
Then, the cost of 8 pounds of strawberry taffy and 3 pounds of banana taffy will be,
8s + 3b = 66
And,
The cost of 10 pounds of strawberry taffy and 3 pounds of banana taffy will be,
10s + 3b = 78
By solving both above equations,
2s = 12
s = $6
3b = 78 - 10(6)
b = $6
Hence, "The equation formation is the form of a real word problem for some of them, thus the cost of candy for the given condition is $6".
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The Lopez family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
gallons per day
Answer: 4
Step-by-step explanation: in average, they drink 12/3 = 4 milk jugs per day.
overbooking: a boeing 767-300 a boeing 767-300 aircraft has 213 seats. when someone buys a ticket for a flight, there is a 0.0995 probability that the person will not show up for the flight (based on data from an ibm research paper by lawrence, hong, and cherrier). how many reservations could be accepted for a boeing 767-300 for there to be at least a 0.95 probability that all reservation holders who show will be accommodated?
7.82 % is probability that all reservation holders who show will be accommodated.
What is probability in math?
Probability refers to potential. The subject of this area of mathematics is the occurrence of random events.The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.If 236 are booked.
and there is only room of 213.
if 214 or 215 or 216 ............ etc
all the way to 236
there won't be enough seats.
P( X = 214 ) = ²³⁶C₂₁₄ * ( 0.9005 ) ²¹⁴ * ( 0.995 )²²
P( X = 214 ) = 0.08439109
= 8.44 %
P( X = 215 ) = ²³⁶C₂₁₅ * ( 0.9005 ) ²¹⁵ * ( 0.995 )²¹
= 0.0781522
= 7.82 %
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The perimeter of an equilateral triangle is 10 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side of the triangle. (Hint: An equilateral triangle has three sides the same length.)
Answer:
The side of the triangle is 14 in======================
Let the sides be t for triangle and s for square.
Difference of perimeters3t = 4s + 10Difference of sidest = s + 6Rearrange the second equations = t - 6Substitute this into first equation and solve for t3t = 4s + 103t = 4(t - 6) + 103t = 4t - 24 + 103t = 4t - 144t - 3t = 14t = 14Answer:
14 inches
Step-by-step explanation:
The side lengths of an equilateral triangle are the congruent.
The side lengths of a square are the congruent.
Let x be the length of one side of the equilateral triangle.
⇒ Perimeter of triangle = 3x
Let y be the length of one side of the square.
⇒ Perimeter square = 4y
Given:
The perimeter of the triangle is 10 inches more than the perimeter of the square.The side of the triangle is 6 inches longer than the side of the square.Create a system of equations with the given information and defined variables:
[tex]\begin{cases}3x = 4y + 10\\x = y + 6\end{cases}[/tex]
Substitute the second equation into the first equation and solve for y:
[tex]\implies 3(y+6)=4y+10[/tex]
[tex]\implies 3y+18=4y+10[/tex]
[tex]\implies 18=y+10[/tex]
[tex]\implies y=8[/tex]
Therefore, the side length of the square is 8 inches.
Substitute the found value of y into the second equation and solve for x:
[tex]\implies x=8+6[/tex]
[tex]\implies x=14[/tex]
Therefore, the side length of the triangle is 14 inches.
Complete the table below.
The missing values that completes the table is shown in the attachment below.
How to Complete a Table?To complete the table that is given in the table above, plug in the value of x into the equation and solve accordingly.
For x = 1, substitute the value of x into y = 3x² and y = 3^x:
y = 3(1)²
y = 3(1)
y = 3
y = 3^(1)
y = 3
For x = 2, substitute the value of x into y = 3x² and y = 3^x:
y = 3(2)²
y = 3(4)
y = 12
y = 3^(2)
y = 9
The complete table is shown below.
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P. USE REPRESENTATIONS Sheila plans to invest $2000 or less in two different accounts. The low
risk account pays 3% annual simple interest, and the high risk account pays 12% annual simple
interest. Sheila wants to make at least $150 in interest this year.
a. Define the variables, then write and graph a system of inequalities to show how Sheila can
split her investment between the accounts.
Inconclusion the amount she invested in each account is $1,000 invested at interest rate 12% .
What is interest rate?
An interest rate informs you of how much borrowing will cost you and how much saving will pay off. Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the entire loan amount if you are a borrower.Let x represent the amount invested at 3%.
. 12x +.03(2000-x)= 150
.09x+ 60 = 150
Collect like terms
.09x = 90
Divide both side by .09x
x = 90/.09
x=$1000
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Chelsea has final exams in calculus, physics, and history.
She has up to 25 hours to study for exams. She plans to
study history for 2 hours. She needs to spend at least 7
hours studying for calculus, but over 14 is too much.
She hopes to spend between 8 and 12 hours on physics.
Write and graph a system of inequalities to represent
the situation.
Answer:
x-variable y-variable Inequalities
calculus physics 7≤x≤14
8≤y≤12
x+y≤23
Step-by-step explanation:
art contractors must locate an equipment staging area to serve three construction sites, located at (x,y) coordinates (0,3), (1,4) and (5,5). traffic between the staging area and each of the sites is 30 trips a week, except for the site located at (5,5), which is only 10 trips a week. what is the best set of co-ordinates for the equipment staging area?
Using the concepts of co-ordinate geometry, we got that (1.14,3.17) is best set of co-ordinates for the equipment staging if art contractors must locate an equipment staging area to serve the three construction sites, located at (x,y) coordinates (0,3), (1,4) and (5,5).
So, for x co-ordinates how we can find the output, for this we need to find that co-ordinate in which stagging area is maximum.
So that co-ordinate is given = [x-coordinate of point A + x-co-ordinate of point y)/2.0]-1.36
=>the best x-co-ordinate is =[(0+5)/2.0]-1.36
=>the best x-co-ordinate is =1.14,
Similarly, for the y-co-ordinate
the best y-co-ordinate is given by =[[y-co-ordinate of point A+ y-co-ordinate of point B]/2.0] +0.67
=>the best y-co-ordinate is given by =[(0+5)/2/0]+0.67=2.5+0.67
=>the best y-co-ordinate is given by=(
Therefore, the best x and y co-ordinate is (1.14,3.17)
Hence, when art contractors locate an equipment staging area to serve three construction sites, located at (x,y) coordinates (0,3), (1,4) and (5,5). traffic between the staging area and each of the sites is 30 trips a week, except for the site located at (5,5), which is only 10 trips a week. the best set of co-ordinates for the equipment staging area is (1.14,3.17).
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The solutions of the equation x^2 - 6x + d = 0 are both integers. d is a prime number. Find d
The solutions of the equation x^2 - 6x + d = 0 are both integers and d is a prime number is 5.
How to determine the value of d?From the information, the solution of the equation x^2-6x+d=0 are integers
To find d, the numbers which can be added or subtracted to get -6 is needed which when multiplied will give a prime number
In this case - 5- 1 = -6
And when multiplied (-5×-1) will give +5 which is a prime number.
Therefore, x^2-6x+5=0
This illustrates that d is 5.
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If the plants grew 12 mm one season, how much rain fell?
The point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm. When the plant grew 12 mm in one season, there were 16 mm rainfall
The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant
The x axis represents the rainfall during the growing season and y axis represents the seasonal growth of a type of plant.
The point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm.
8 represent the x axis measurement and 6 represent the y axis measurements
When the plant grew 12 mm in one season, there were 16 mm rainfall
Hence, the point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm. When the plant grew 12 mm in one season, there were 16 mm rainfall
The complete question is:
The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point (8,6) represent? If the plants grew 12 mm one season, how much rain fell?
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What is the minimum number of lawns Wallace must mow in order for him to earn at least $8?
Answer:1
Step-by-step explanation:
The answer is one because the graph starts at 12$ and Wallace only needs $8.
The altitude of a triangular sign is 18 inches less than 3 times its base. Define the functions that describe the altitude and base of the triangle, and then use these functions to build an area function of the triangle
Functions to build an area function of the triangle , A = b2 + 2b.
What Altitude of a Triangle?A perpendicular line drawn from a triangle's vertex to its opposite side is the definition of a triangle's altitude. A triangle can be drawn with three altitudes because it has three sides. There are various types of elevations in triangles. When computing the area of a triangle, the altitude, also known as its height, is indicated by the letter.The section of a perpendicular line traced from a triangle's vertex to the side directly across from it is the triangle's altitude. The base of the triangle that the altitude touches forms a straight angle. It is often referred to as a triangle's height and is represented by the letter "h." The distance between the vertex and its opposing side can be calculated to determine its size. It should be remembered that every triangle has three altitudes that can be drawn from each of the vertices. See the intersection of the triangle's three elevations by paying attention to the triangle in the illustration below. The "Orthocenter" is this location.According to our question-
Let b = the base
altitude = 2b + 4
A = b(2b+ 4)/2
A = b(b + 2)
A = b2 + 2b
Hence, Functions to build an area function of the triangle , A = b2 + 2b.
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23.45+1.9-5.78-2.6 ?
Answer:
16.97
Step-by-step explanation:
Nadia and Sasha are measuring different lengths of ribbon.
Use the drop-down menus to complete the statements about Nadia's and Sasha’s measurements.
Nadia's
Measurement Actual
Length
4 cm 5 cm
Sasha's
Measurement Actual
Length
96 cm 100 cm
Nadia was(blank)
cm off the actual measurement of 5 cm.
That is a percent error of
(blank)%.
Sasha was
(blank) cm off the actual measurement of 100 cm.
That’s a percent error of(blank)
%.
Because Nadia’s ribbon is(shorter/longer)
than Sasha’s ribbon, each centimeter of error in measurement results in a(shorter/longer)
percent error.
Nadia was 1cm off the actual measurement of 5 cm. That is a percent error of 20%.
Sasha was 4 cm off the actual measurement of 100 cm. That’s a percent error of 4%.
How to calculate the percentage error?From the information, the measurement was 4cm and the actual measurement was 5cm. Therefore, the difference will be:
= 5cm - 1cm
= 4cm
The percentage error will be:
= Difference in measurement / Actual measurement × 100
= 1/5 × 100
= 20%.
The percentage error for Sasha will be:
= 4/100 × 100
= 4%
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AWNSER PLSS !How can a negative number be written in scientific notation?
The bottom of a 5.5-meter ladder is 3.3 meters from the base of a wall, and it just reaches the bottom of a window in the wall. If the window is 1 meter high, what is the distance from the top of the window to the base of the wall?
The distance from the top of the window to the base of the wall is 5.4 m.
According to the question,
We have the following information:
The bottom of a 5.5-meter ladder is 3.3 meters from the base of a wall, and it just reaches the bottom of a window in the wall. And the window is 1 meter high.
Now, we know that the ladder, wall and base will make a right-angled triangle. We can use Pythagoras theorem to find height of the wall.
(Pythagoras theorem: square of hypotenuse = sum of squares of base and height)
Let's take height of the wall to be h meters.
[tex]h^{2}[/tex] = [tex](5.5)^{2} -(3.3)^{2}[/tex]
[tex]h^{2}[/tex] = 30.25-10.89
19.36
h = √19.36
h = 4.4 m
Now, the distance from the top of the wall window to the base of the wall is:
4.4 + height of the window
4.4+1
5.4 m
Hence, the distance from the top of the window to the base of the wall is 5.4 m.
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a restaurant manager collected data to predict monthly sales for the restaurant from monthly advertising expenses. the model created from the data showed that 36 percent of the variation in monthly sales could be explained by monthly advertising expenses. what was the value of the correlation coefficient? responses 0.64 0.64 0.60 0.60 0.40 0.40 0.36 0.36 0.13
The value of the correlation coefficient is 0.60.
There is a 0.6 correlation coefficient between two variables, which measures the strength of the relationship.
R² is the coefficient of determination, which measures how much variation can be explained by the regression line.
This means that, the R² value of the data is 36%
R² = 36% = 0.36
Correlation coefficients measure the strength of relationships between variables in the form of square roots.
That is ; R = √R²
R = √0.36
Hence, the correlation Coefficient, R is 0.60
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write and equation for a line that's parallel to y=2x-3 that passes through (-1,6)
Answer:
y=2x+8
Step-by-step explanation:
The slope must be the same so the equation so far is y=2x+b
To find b, you have to multiply the given x value (-1 is the given x value) and then see how much you have to add to reach the given y value (aka 6)
-1*2=-2
6--2=8
b=8
That means that the equation is y=2x+8
What is the slope of the line that passes through the points (-4,6) and (-4,18 Write your answer in the simplest form.
a rectangular floor that is 1010 feet wide and 1010 feet long is tiled with 170170 one-foot square tiles. a bug walks from one corner to the opposite corner in a straight line. including the first and the last tile, how many tiles does the bug visit?
While walking from one corner to the opposite corner in a straight line, the bug visits 19 tiles including the first and the last tile.
What exactly is a rectangle?A rectangle is a four-right-angle quadrilateral. A rectangle is a four-right-angle quadrilateral.. Because all of its angles are equal (360°/4 = 90°), it is also known as an equiangular quadrilateral or a parallelogram with a right angle. A non-square rectangle is sometimes referred to as an oblong.
A rectangle is a rectilinear polygon, meaning its sides intersect at right angles.
Five independent degrees of freedom define a rectangle in the plane.
The bug visits 1 tile multiplied by the number of times it crosses a horizontal or vertical line.
It has to cross nine horizontal and nine vertical lines. That bug must pay a visit.
9+9+1=19 tiles
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What is the mathematical answer to 5x=3.75
Answer:
x=0.75
Step-by-step explanation:
5x=3.75
/5. /5
x=0.75
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One out of every ten students in a school takes lunch to school. If there are two hundred students in the school, how many of them do not take lunch to school?
180 students do not take lunch to school.
From the question, we have
Number of students do not take lunch to school= 200-20
=180 students
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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an employee group requires 6 people be chosen for a committee from a group of 12 employees. determine the following probabilities of randomly drawn committee of 6 employees. write your answers as percents rounded to 4 decimal places. the employee group has 9 women and 3 men. what is the probability that 3 of the people chosen for the committee are women and 3 people chosen for the committee are men? % the committee requires that exactly 2 people from human resources serve on the committee. there are 4 people in human resources. what is the probability that exactly 2 of the people chosen for the committee are from human resources? %
The probability of choosing 3 men and 3 women to form the committee is 0.4329 and the probability to select exactly 2 people from the human resources is 0.4545.
It is given that there are 12 employees.
The number of male employees is 6
number of female employees is 6
A committee of 6 is to be formed. We need to find the probability that out of 6, 3 are male and 3 are female.
Let A be the event of having 3 men and 3 women on the committee
The total number of ways to choose 6 people is
¹²C₆
Probability = number of favorable outcomes / total number of outcomes
n(A) = ⁶C₃ X ⁶C₃
Therefore,
P(A) = (⁶C₃ X ⁶C₃) / ¹²C₆
= (20 X 20) / 924
= 400/924
= 0.4329
It is given that the number of employees in human resources from the group is 4
Let B be the event to choose exactly 2 employees from the human resource
n(B) = ⁴C₂ X ⁸C₄
P(B) = ⁴C₂ X ⁸C₄ / ¹²C₆
= 6 X 70 / 924
= 420 / 924
= 0.4545
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