The linear function g(x) = x / 2 is the image by rigid transformations of the linear function f(x) = - 2 · x.
What is the image of a linear equation by rigid transformations?
Rigid transformations are transformations applied on functions such that the form and features of a function is conserved. In this problem we must determine the image of a linear equation, which is the result of a sequence of rigid transformations:
Reflection in the x-axis:If we know that that function is f(x) = - 2 · x, then the image of the function is:
f'(x) = 2 · x
g(x) = x / 2
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Without making any calculations, which distribution of data has the largest standard deviation?
1, 1, 1, 1, 4, 4, 7, 7, 7, 7
1, 1, 1, 4, 4, 4, 4, 7, 7, 7
1, 1, 4, 4, 4, 4, 4, 4, 7, 7
1, 4, 4, 4, 4, 4, 4, 4, 4, 7
Answer:
#4 it makes the most sense.
Step-by-step explanation:
Sorry if i'm wrong
Answer:
It's the first one, A
Step-by-step explanation:
Plugged each one into a SD calculator, the first one is the largest
A six-sided die is rolled.
What is the probability that either a 1, 2, or 3 is rolled?
Answer:
1/2 I think
Step-by-step explanation:
Nina is buying fabric to make placemats. For every
4
4
placemats she makes she needs
5
5
square feet of fabric.
If Nina is making
5
5
placemats, how many square feet of fabric does she need?
Nina needs
Answer:
6.25 feet squared of fabric needed
Step-by-step explanation:
4:5 placemats:fabric
then
5:6.25
The graph above is a transformation of the function 1?Give the function in the graph above.
The equation is given as
\(y=x^2\)Then the graph of the transformation is given as
The transformation equation will be
\(y=-(x+2)^2+1\)Hence the graphed function is
\(g(x)=-(x+2)^2+1\)HELP PLEASEEEEEEE!!!!!
The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
What are similar shapesSimilar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.
Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:
the measure of angle Z is equal to 65°
the side EF corresponds to JK and side FG corresponds to KL, so:
8/20 = 11/x
x = (11 × 20)/8 {cross multiplication}
x = 27.5
the side EF corresponds to JK and EH corresponds to JM, so:
8/20 = y/30
y = (30 × 8)/20 {cross multiplication}
y = 12
Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
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Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years. Step 1 of 2: If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
According to the Central Limit Theorem, the sampling distribution of sample means would have a mean of 5.4 years.
Step-by-step explanation:
For a normally distributed random variable X, with mean and standard deviation, the sampling distribution of sample means with size n can be approximated to a normal distribution with mean and standard deviation.
As long as n is at least 30, the Central Limit Theorem can also be applied to skewed variables.
We have the following problem:
5.4 years is the average age for the entire population.Based on the Central Limit Theorem, 5.4 years would be the mean of the sampling distribution of sample means.Answer:
Step-by-step explanation:
The mean of the sampling distribution of sample means can be calculated using the formula:
μM = μ
where μ is the population mean and M is the sample mean.
Thus, μM = μ = 5.4 years.
Therefore, the mean of the sampling distribution of sample means would also be 5.4 years.
A school newspaper reporter decides to randomly survey 13 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 23% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. Part (a) Part (b) List the values that X may take on. O X =0, 1, 2..... 23 x = 1, 2, 3....23 x = 1, 2, 3....13 OX0.1.2..... 13 OO Part (c) Give the distribution of X. X-OX (0:0) Part (d) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.) student(s) O Part (e) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.) Part (0) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
The probability that more than 2 students will attend is 0.9179.
Part (a) List the values that X may take on.
X may take on the values 0, 1, 2, 3, ..., 13.
Part (b) Give the distribution of X.
The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23
Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)
We can expect 3 students to attend the festivities.
Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)
The probability that at most 3 students will attend is 0.6923.
Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
The probability that more than 2 students will attend is 0.9179.
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A study was conducted showing the relationship between the average maintenance cost and the age of a car in years.
Number of observations: 13
Least Squares | Standard | T
Parameter | Estimate | Error | Statistic| P-Value
Intercept | 54.7757 | 54.87 | 0.998282 | 0.3396
Slope | 120.689 | 11.8442 | 10.1898 | 0.0000
a) What is the formula for the regression function based on the output above (Write your equation in the context of question)?
b) Interpret the slope of the regression equation (In the context of question)?
c) Construct an 95% interval to predict the maintenance cost for a car that is 7 years old?
d) Based on this analysis, can we conclude that a relationship exists between the maintenance cost and the age of the car in years? What is the null and alternative hypothesis? Justify your answer using three steps process.
Answer:
Step-by-step explanation:
a) The formula for the regression function is:
Maintenance Cost = 54.7757 + 120.689 x Age of Car
b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.
c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:
Y = a + bX ± tα/2 * SE
where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.
Plugging in the values, we get:
Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442
Y = 923.167 ± 26.010
Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.
d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.
To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.
Use long division to find the quotient of 1,467 and 58. What is the remainder?
Answer:
1467 divided by 58 equals
25 with a remainder of 17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
HEEELLLLPPP!
Whoever answers right will get brainliest!!!!!!!!!
Answer:
\(y =\frac{x}{4}\)
Step-by-step explanation:
Pre-SolvingWe are given several functions, and we want to figure out which one is linear.
A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.
SolvingLet's go through the list.
Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.
Even though y has a power of 1, this is NOT linear, because x has a power of -1.
Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.
For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.
This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.
This means that \(y=\frac{x}{4}\) is linear.
Convert 65.949 to expanded form.
plzz help
Answer:
(6 × 10) + (5 × 1) + (9 × 1 10 ) + (4 × 1 100 ) + (9 × 1 1000 )
Step-by-step explanation:
solve for x 2x +3y = Q
Hello! :)
2x + 3y + −3y = q + −3y Add -3y to both sides
2x = q − 3y
2x/2 = q-3y/2 Divide both sides by 2
x = 1/2q + -3/2 y (ANSWER)
Hope this helped you
THEDIPER
Covert 1/18 to a decimal
A write the decimal form
B is this number rational? Explain
Step-by-step explanation:
A. 0,0(5)
B. Yes, this number is rational, because we can write it as a fraction (in this case, periodic)
Write 5.84 as a mixed number in simplest form.
Answer:
5 84/100
Step-by-step explanation:
.84 is in the hundredths place so we write 84 over 100.
5 is a whole number.
5 84/100
5 21/25
Answer:
5 21/25
Step-by-step explanation:
First, you have to convert 5.84 to an improper fraction; this would result in it being 146/25.
After this, you just simplify it into a mixed number.
The result? 5 21/25 (5 and 21 over 25).
4.5,3,1.5,0 fin the difference in the following sequence
-1.5 is the difference in the sequence
How determine the difference in a sequence?
An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms are the same.
The difference is usually called the common difference. For example, the sequence 3, 6, 9, 12 have a common difference of 3 i.e. 6-3 = 3 or 9-6 = 3
Given: the sequence 4.5,3,1.5,0
The difference = 3 - 4.5 = -1.5 or 1.5-3 = -1.5
Note: You can pick any two consecutive terms to get the difference
Therefore, the difference in the sequence is -1.5
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You take a simple random sample of size 25 from a very large population in which the true proportion is p = 0.1. Which statement below best describes what you know about the sampling distribution of pˆ ?
answer choices
µ pˆ = 0.1; σ pˆ= √[(0.1)(0.9)/25] ; the distribution is skewed right.
µ pˆ = 0.1; σ pˆ= √[(0.1)(0.9)/25] ; the distribution is skewed left.
µ pˆ = 0.1; σ pˆ= √[(0.1)(0.9)/25] ; the distribution is approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √[(0.1)(0.9)/25] ; the distribution is not approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √[(0.1)(0.9)/25] ; the distribution is approximately Normal.
The correct statement is: µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is approximately Normal.
What is distribution?In statistics, a distribution refers to the way in which a set of data is spread out or distributed across its possible values. In other words, a distribution describes how frequently different values occur in a dataset.
Given by the question.
µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is skewed right.
µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is skewed left.
µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √ [(0.1) (0.9)/25]; the distribution is not approximately Normal.
µ pˆ = 0.1; we cannot use the formula σ pˆ = √ [(0.1) (0.9)/25]; the distribution is approximately Normal.
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When is it more beneficial to solve a problem involving a proportional relationship using an equation than using a graph?
We need to compare the solutions that we can get mathematically with the one that we can get by observing a graph for a proportional relathionship.
A proportional relationship is something of the form:
y = k*x
Where k is the constant of proportionality.
Here the answer will be: When we need an exact solution.
Now, why is better to solve this using the equation than using a graph?.
The benefit is that with the equation we will always get an exact solution, while when reading the graph we are estimating the solution (particularly in graphs that are hard to read, a thing that happens when k is an irrational number for example).
And for obvious reasons, the exact solution is always better than an estimate.
So, answering the question: when is more beneficial to solve a problem involving a proportional relationship using an equation than using a graph?
When we need an exact solution.
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Given f(x) = x^2+ 3x, find f(A + 4).
Answer:
f(x) = x^2+ 3x
f(A + 4)=(A+4)²+3(A+4)=A²+8A+16+3A+12
=A²+11A+28
There are 40 students in the library and 24 of those students are girls. What percent of the students
in the library are girls?
Answer:
60% [of the students in the library are girls]
Step-by-step explanation:
To calculate the percent, take 24 and divide it by 40.
24 / 40 = 0.6
0.6 = 60%
The function f(x)=x - 3x2 + 2x rises as x grows very large. O A. True O B. False
Let's find the limit:
\(\lim _{x\to\infty}f(x)=\lim _{x\to\infty}(x^3-3x^2+2x)=\lim _{x\to\infty}x^3=\infty^3=\infty\)Therefore, we can conclude that the function rises as x grows very large.
Answer:
True
What is the place value of 1 of 574.8931.
Two ratios that both have values that are equal.
Group of answer choices
Measurement of a Quantity
Rate
Quantity
Equivalent Ratios
Answer:
Equivalent Ratios
Step-by-step explanation:
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.
The equality of two ratios is also known as proportion. The antecedent and consequent values are different.
Equivalent ratios are the same when we compare them. The two quantities of ratio should be of the same kind. To find an equivalent ratio we need to multiply.
Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different!
Equivalent ratios or equal ratios are two ratios that express the same relationship between numbers as we covered in our tutorial on scaling up ratios.
Answer:
equivalent ratios
Step-by-step explanation:
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).
x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2
3
4
5
6
A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive stated, “The revenues for online ads are more than double that of the revenues for printed ads.”
Use the graph below to justify the lead executive’s statement.
Determine the approximate year that the two ad revenues were equal.
See Text Version
Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0:
Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95
Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
Between which years will the beaches have approximately the same width?
Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?
04.04 Solving Systems of Equations Approximately Rubric
Requirements Possible Points Student Points
Student completes the table with the correct values. 4
Student finds the solution to the equation. 2
Student uses the graph to justify the statement. 3
Student uses the graph to determine the approximate year that the two ad revenues were equal. 3
Student interprets and analyzes the data in a table. 3
Student determines the approximate solution. 3
Student presents a correct method for closely approximating the solution. 2
The value of the equation f(x) = 2.5x - 10.5 and g(x) = 64(0.5x) are calculated as x = 2: f(x) = 2.5(2) - 10.5 = -5.5 and g(x) = 64(0.5(2)) = 64.
What is substitution method?The substitution method is a quick and easy way to identify the variables' solutions to a set of linear equations. It entails, as the name implies, determining the value of the x-variable in terms of the y-variable from the first equation, and then substituting or replacing the value of the x-variable in the second equation. So, we may solve the equation and determine the value of the y-variable. Finally, we can use any of the above equations with the value of y to determine x. It is also possible to solve for x first, then for y, in the opposite order.
The given equation are f(x) = 2.5x - 10.5 and g(x) = 64(0.5x).
Substituting the value of x we have the value in the table as follows:
x = 2:
f(x) = 2.5(2) - 10.5 and g(x) = 64(0.5(2))
f(x) = -5.5 g(x) = 64
For x = 3:
f(x) = 2.5(3) - 10.5 and g(x) = 64(0.5(3))
f(x) = -3 g(x) = 96
For x = 4:
f(x) = 2.5(4) - 10.5 and g(x) = 64(0.5(4))
f(x) = -0.5 g(x) = 128
For x = 5:
f(x) = 2.5(5) - 10.5 and g(x) = 64(0.5(5))
f(x) = 2 g(x) = 160
For x = 6:
f(x) = 2.5(6) - 10.5 and g(x) = 64(0.5(6))
f(x) = 4.5 g(x) = 192
Hence, the value of the equation f(x) = 2.5x - 10.5 and g(x) = 64(0.5x) are calculated as x = 2: f(x) = 2.5(2) - 10.5 = -5.5 and g(x) = 64(0.5(2)) = 64.
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4. Maria also wants to study the relationship between the weight of puppies at birth
and their adult weight (at two years old). She collected data from five randomly
selected small-breed dogs and displayed the data in the table.
Birth weightAdult weight
(pounds) (pounds)
1.5 10
317
18
2.5 14
Birth weight Adult weight
(pounds) (pounds)
0.75 5
Part A. Use the data in the table to create a scatterplot. (5 points)
Part A.
(5 points)
Dog Birth and Adult Weights
Answer:
y = 4.87x + 2.28 Is the answer
Step-by-step explanation:
( i see a little bit of part b but do not see the FULL QUESTION which is a problem and i cannot answer.. )
using a:
THE ULTIMATE LINEAR REGRESSION CACLAULTOR
yes it is the epic i get:
y = 4.87x + 2.28
Nothing more noting less ikr
y = 4.87x + 2.28 Being the answer
The fist three steps in determining the solutions set of the system of equations y=-x^2-2x+8 and y=2x+11, algebraic ally are shown in the table
The solutions set of the system of equations y=-x^2-2x+8 and y=2x+11 are as x = -3 , -1 and y = 5, 8.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The system of equations
\(y = -x^2 - 2x + 8\)
and
y = 2x + 11,
We can put the value of y in the first equation
\(y = -x^2 - 2x + 8\\\\2x+11 = -x^2 - 2x + 8\\\\2x + 2x + 11 - 8 +x^2 = 0\\\\4x + 3 + x ^2 = 0\)
The factors are;
\(x^2 +4x + 3 = 0\\\\(x+3)(x+ 1)\)
Or x = -3 , -1
Now substitute to find y;
y = 2x + 11
y = 2(-1) + 11
y = 8
y = 2x + 11
y = 2(-3) + 11
y = 5
Or y = 5, 8
Thus, the solutions set of the system of equations y=-x^2-2x+8 and y=2x+11 are as x = -3 , -1 and y = 5, 8.
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Find an equation of the circle that has center (1,-4) and passes through (-3,0).
Step-by-step explanation:
the standard form of a circle equation is
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle, and r is the radius.
so, we have
(x - 1)² + (y - -4)² = r²
(x - 1)² + (y + 4)² = r²
how do we get r or r² ?
by using the coordinates of the point the circle passes through :
(-3 - 1)² + (0 + 4)² = r²
(-4)² + 4² = r²
16 + 16 = r²
32 = r²
so, our equation is
(x - 1)² + (y + 4)² = 32
Is 1/2 equivalent to 7/12
Answer: No because 1/2 is equal to 6/12 because 1 x6=6 and 2x6 =12 which makes 1/2 equivalent to 6/12 not 7/12
Answer:
no this is false
Step-by-step explanation:
7 is not half of 12
a sequence of instructions that solves a problem is called
A sequence of instructions that solves a problem is called an algorithm.
Hector works 12 hours per week at a part-time job. His original pay rate was $8.00 per hour, but he recently received a raise of x dollars per hour. His new total weekly pay, y, is represented by the equation y=12(8+x)
If Hector earned $126 last week, what was the amount of Hector’s raise per
Answer:
x=8/3
Step-by-step explanation:
I hope this helps you
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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