Answer:
The asnwer is 3x + 12y + 4
Answer:
I think you wrote it wrong but if not here
Step-by-step explanation:
Simplifying
2x + -12y = 4
Solving
2x + -12y = 4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12y' to each side of the equation.
2x + -12y + 12y = 4 + 12y
Combine like terms: -12y + 12y = 0
2x + 0 = 4 + 12y
2x = 4 + 12y
Divide each side by '2'.
x = 2 + 6y
Simplifying
x = 2 + 6y
The mean number of years Americans work before retiring is 34. Which of the following will be a Type I error? (A) We conclude that the mean is 34 years when it really is not 34 years. (B) We conclude that the mean is 34 years when it really is 34 years. (C) We conclude that the mean is not 34 years when it really is 34 years. (D) We conclude that the mean is not 34 years when it really is not 34 years.
Type I error is We conclude that the mean is not 34 years when it really is 34 years. The correct option to this question is C.
Rejecting the null hypothesis when it is in fact true is a Type I mistake. It entails drawing conclusions about outcomes that are statistically significant when, in fact, they were just the consequence of chance or unrelated causes.
The significance level you select (alpha or ) determines the likelihood that you will make this mistake. You determined that figure at the start of your research to determine the statistical likelihood of getting your results (p-value).
The typical significance level is 0.05 or 5%. If the null hypothesis is accurate, your results only have a 5% chance or less of occurring.
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Use the image to determine the direction and angle of rotation
Answer:
180
Step-by-step explanation:
rotate it 90 degrees 2 times
1.
How much would it cost to ship a package weighing 3.2 pounds? Explain how you arrived at your answer.
From the graph of the piece-wise function, the cost of a package weighing 3.2 pounds would be of $10.
How to calculate the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we have to replace each instance of the variable in the defined function or in the defined expression by the value of the input variable at which we want to find the numeric value.
On the graph of a function, we have that:
The x-axis represents the input of the function.The y-axis represents the output of the function.Hence the numeric value is obtained tracing a vertical line through the input, and is given by the intersection of this vertical line and the function.
Thus, cost of a package weighing 3.2 pounds would be of $10.
Missing InformationThe graph is missing and is given by the image at the end of the answer.
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-2z+3-z=□-4z+2
please give me the answer
Step-by-step explanation:
\(\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\\)
\(\large{\rm{\underline{\underline{Answer:}}}}\)
Given to solve: -2z+3-z = -4z+2
⇛ -3z + 3 = -4z + 2
⇛ -3z + 4z = 2 - 3
⇛ z = -1
Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.
Does the point (2,-1) lie on the line
y=3-2x?
Answer:
yes
Step-by-step explanation:
the line passes through that point.
Answer:
yes
Step-by-step explanation:
Here, x=2 and y=-1
If these points lie on the line y= 3-2x,then they must satisfy the equation of the line (also mean they must be equal)
So on solving the equations putting the value of x and y, we get
y=3-2x
or,-1=3-2*2
or,-1=3-4
Therefore, -1=-1
Maureen bought a new car worth $26,525 one year ago. She knows that her car's value will depreciate each year. She uses an online calculator to find that her car is worth $24,403 today. Write an exponential equation in the form y = a(b) that can model the value, y, of Maureen's car x years after purchase. Use whole numbers, decimals, or simplified fractions for the values of a and b.
The equation to model the value of Maureen's car x years after purchase can be written in the form of y = a(b)^x , where y is the value of the car, x is the number of years after purchase, and a and b are constants.
Using the information given, we can find the values of a and b.
We know that the value of the car one year after purchase is $24,403.
So, we can substitute this value into the equation:
24403 = a(b)^1
We also know that the car's original value is $26,525
So we can substitute this value into the equation:
26525 = a
Now we can use these two equations to find the value of b
24403 = 26525 (b)^1
b = 24403 / 26525
b = 0.9153
So the final equation is:
y = 26525 (0.9153)^x
where y is the value of the car, x is the number of years after purchase, and a = 26525 and b = 0.9153
X+y=150/2
x+y=75 find the solution using cramers rule
Answer:
I didn’t know if I was solving for x or for y but I believe that the answer is x=75-y
Step-by-step explanation:
Solve by simplifying both sides of the equation, then isolating the variable.
ali and jake went on a cross country trip they took a train part of the way and a bus the rest of the way they traveled a total of 1050 kilometers riding on the train 200 more kilometers than in the bus how many kilo meters did they travel by
Answer:
1900 km
Step-by-step explanation:
train = 1050km
bus = 200 less than train or 1050-200 = 850
1050+850=1900
Answer:
625, just got it right
Step-by-step explanation:
if a board of 8 3/4 ft long is cut into 7 equal parts how long is each part
Answer: 1 1/4 ft each part
Step-by-step explanation: 8 3/4 divided by 7 is 1 1/4
(8.75 / 7 = 1.25)
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. If you reach in and randomly draw two marbles without replacing the first, what is the probability that both will be green?
1/30
19/49
It's not 1/20 or 7/20
the variance and standard deviation are the most widely used measures of central location.
T/F
False , the variance and standard deviation are not measures of central location
Given data ,
The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset
Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset
The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.
In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.
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what number must be added to the expression below to complete the square x^2+7x
Answer:
\(\frac{49}{4}\)
Step-by-step explanation:
Given
x² + 7x
To complete the square
add ( half the coefficient of the x- term )²
x² + 2( \(\frac{7}{2}\) )x + (\(\frac{7}{2}\) )²
= x² + 7x + \(\frac{49}{4}\)
= (x + \(\frac{7}{2}\) )² ← perfect square
If x=y, why is 2 is not equal to 1.
Step-by-step explanation:
this question is kinda tricky
State the slope and y-intercept of the graph of y - x = -2.
Answer:
the slope is 1
the y-int is -2
Answer:
Slop=1 y-intercept=-2
Step-by-step explanation:
The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. Here is a list of the high temperatures, in degrees Celsius, for the second week. 5 9 7 0 3 5 5
Answer:
mean is 4.86
mean absolute deviation is 4.86
Step-by-step explanation:
sum of 2x and 3x in algebraic expression
Find the radius of a circle with a circumference of 15π m.
Answer:
7 1/2 m
Step-by-step explanation:
C = πd
in this problem, d = 15 which means that r = 15/2 or 7 1/2
Look at the image... Then calculate the x...
Answer:
x should be 20
Find the function f, if: f'(x)=2/(x^3) + 4e^x + 5, f(-1)=1, f(1)=-1 (Note: Consider the domain and write the answer in ascending order of the variable).
Answer:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Step-by-step explanation:
We can find the function f(x) by integrating f'(x) with respect to x:
â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx
f(x) = -1/x^2 + 4e^x + 5x + C
To find the constant C, we can use the given initial conditions:
f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C
C = 1 + 1/1 - 4e^(-1)
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Therefore, the function f(x) is:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)
Answer:
. JUST LOAD
Step-by-step explanation:
The graph below shows ages of employees in a company and average salaries for that age.
Salary (thousands of dollars)
$80-
70
60-
50-
40
30
20-
10
0-
20 25
●
30 35 40 45
Age of Employee (years)
50 55
60
Based on the graph, indicate whether each of the three statements below is true or false.
1. There is a fairly strong positive correlation between age and salary.
Based on the limited information in the graph, it appears that there is a positive correlation between age and salary.
What is this correlation?As age increases, the average salary tends to increase as well. It appears that there is a positive correlation between age and salary, as the average salary tends to increase with age until around 50 years old.
However, because the data is incomplete, I cannot accurately determine the strength of the correlation coefficient, it is difficult to determine whether the correlation is "fairly strong" or not.
Therefore, the statement is mostly true, but cannot be confirmed with certainty without additional information.
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Jackie has $200 to spend. She buys a clock for $66, and wants to spend the rest on picture frames marked at $15 each. How many picture frames can she afford?
Answer:
8
Step-by-step explanation:
Answer:
she can get 8 picture frames with 14 extra dollars
Step-by-step explanation:
the interior angles of a pentagon form an arithmetic sequence. the difference between the largest angle and smallest angle is $44^\circ$. find the smallest angle, in degrees.
Step-by-step explanation:
Interior angles of a 5-gon sum to ( 5-2)(180 = 540 degrees
smallest angle =x
largest angle = x + 4d
where d is the arithmetic sequence common difference
x + 4d -x = 44 shows d = 11
then x + x+d + x+2d + x+3d + x + 4d = 540
5x + 10d = 540 we know d = 11
5x + 10(11) = 540
5x = 430
x = smallest angle = 86 degrees
The smallest interior angle of the pentagon is 86 degrees. This was found by setting up an equation involving the common difference "d" in the arithmetic sequence of angles and solving for "x."
Let's denote the five interior angles of the pentagon as follows:
Let the smallest angle be "x" degrees.
The other four angles form an arithmetic sequence, so we can represent them as x + d, x + 2d, x + 3d, and x + 4d, where "d" is the common difference between the angles.
Now, we know that the difference between the largest angle and the smallest angle is $44^\circ$. Therefore, we can write the equation:
(x + 4d) - x = $44^\circ$
Simplify and solve for "d":
4d = $44^\circ$
Now, divide both sides by 4 to find the value of "d":
d = $44^\circ / 4 = $11^\circ
Now that we know the common difference "d" is $11^\circ", we can find the smallest angle "x" by using the equation for the sum of angles in a pentagon, which is 540 degrees:
x + (x + d) + (x + 2d) + (x + 3d) + (x + 4d) = 540
Simplify and solve for "x":
5x + 10d = 540
5x + 10($11^\circ) = 540
5x + $110 = 540
Now, subtract $110 from both sides:
5x = 540 - $110
5x = $430
Finally, divide by 5 to find the smallest angle "x":
x = $430 / 5 = $86
So, the smallest angle of the pentagon is $86 degrees.
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Which expression represents the relationship between the step number n and the total number of small squares in the pattern
The expression that represents the relationship between the step number n and the total number of small squares in the pattern is this: (n-1)^2.
How to find the right expressionFrom the given information, we can see that the pattern starts with 0 squares at step 1, and each subsequent step adds a square to the pattern. However, the lower right square is always missing. Therefore, the total number of small squares in the pattern at step n can be represented by the expression: (n-1)^2
The reason we subtract 1 from n is that we started counting from step 1, whereas the expression (n-1)^2 assumes that we start counting from 0. Then we square (n-1) to account for the number of squares in the pattern, excluding the missing square in the lower right corner.
Complete Question:
Which expression represents the relationship between the step number n and the total number of small squares in the pattern?
A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.
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There are scores between 80 and 99. there are scores greater than 99. there are scores less than 60 points
Scores range from 80 to 99, with scores exceeding 99 and scores falling below 60 points.
In the given range of scores, which spans from 80 to 99, it encompasses a range of values that are considered satisfactory and relatively high. These scores reflect a level of achievement or performance within a specific context, such as academic grading or test results. Additionally, it is important to note that there are scores that exceed 99, indicating exceptional performance or outstanding results. On the other hand, there are also scores below 60, which indicate lower levels of achievement or performance. These scores may require further attention or improvement in order to reach a more desirable outcome. The varying range of scores allows for a comprehensive evaluation of individuals or entities based on their performance, highlighting both strengths and areas that may need improvement.
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You purchase fifteen tickets to an amusement park. The total cost for the tickets is $360. Write an equation to find the cost of each ticket. Then solve the equation.
Answer:
360/15= cost of each ticket
the cost of each ticket is $24
Step-by-step explanation:
help me with my homework
Answer:
\( m\angle 6 = 107\degree \)
\( m\angle 7 = 73\degree\)
Step-by-step explanation:
\( m\angle 6 = m\angle 4 \)
(Exterior alternate angles)
\( \because m\angle 4 = 107\degree... (given) \)
\(\huge \therefore m\angle 6 = 107\degree \)
\( \because m\angle 6+ m\angle 7= 180\degree\)
(linear pair angles)
\( \therefore 107\degree+ m\angle 7= 180\degree\)
\( \therefore m\angle 7= 180\degree-107\degree\)
\( \huge \therefore m\angle 7 = 73\degree\)
what statements are true regarding the regular didecagon?
The regular dodecagon is a polygon with 12 sides of equal length and 12 angles of equal measure.
Here are some statements that are true regarding the regular dodecagon:Side Length: In a regular dodecagon, all sides have the same length.Angle Measures: Each internal angle of a regular dodecagon measures 150 degrees.Exterior Angle: Each exterior angle of a regular dodecagon measures 30 degrees.The sum of all the exterior angles of any polygon is always 360 degrees.Diagonals: A regular dodecagon has 30 diagonals, which are line segments connecting any two non-adjacent vertices of the polygon.Symmetry: A regular dodecagon has 12 lines of symmetry. These lines divide the polygon into congruent halves.Regularity: A regular dodecagon is a symmetric polygon, meaning all of its sides and angles are congruent.Area: To calculate the area of a regular dodecagon, you can use the formula:Area = 3 × side length × apothem,
where the apothem is the perpendicular distance from the center of the dodecagon to any of its sides.Circumscribed Circle: A regular dodecagon can be inscribed within a circle, meaning all of its vertices lie on the circumference of a circle.For such more questions on Dodecagon
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The number of students taking algebra increased 20% in one year. If
60 students are taking algebra this year, how many took algebra last
year?
Answer: 50 students
Step-by-step explanation:
You know that the number of students last year plus 20% of that number equals the number of students this year, which can be written as: x + 0.2x = 60 →
1.2x = 60 → x = 50 students :)
Answer: 50 students
Step-by-step explanation:
x + .2x = 60
1.2x = 60
x = 60/1.2
x = 50
For which of the following situations is a simple linear regression model appropriate? Multiple choice question. The explanatory variable x is influenced by one response variable. The response variable y is influenced by two or more explanatory variables. The response variable y is influenced by one explanatory variable. The explanatory variable x is influenced by two or more response variables.
A simple linear regression model is appropriate when the response variable is influenced by only one explanatory variable.
A simple linear regression model assumes a linear relationship between the response variable (y) and a single explanatory variable (x).
It is suitable when we want to understand how changes in the explanatory variable affect the response variable.
In the given options, the situation where the response variable y is influenced by one explanatory variable aligns with the requirements of a simple linear regression model.
This means that the relationship between y and x can be adequately described by a straight line.
The model aims to estimate the slope and intercept of this line, allowing us to make predictions and draw conclusions about the impact of the explanatory variable on the response variable.
If the response variable y is influenced by two or more explanatory variables, a multiple linear regression model would be more appropriate.
Multiple linear regression allows for the analysis of the combined effects of multiple predictors on the response variable, accounting for their individual contributions.
Similarly, if the explanatory variable x is influenced by two or more response variables, a different modeling technique, such as multivariate regression, would be more suitable.
Therefore, the situation where the response variable y is influenced by one explanatory variable is the scenario where a simple linear regression model is appropriate.
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