When two angles are supplementary their sum is equal to 180 degrees. Let x equal one of two supplementary angles. If the other angle is equal to 67 degrees, write
an equation in terms of x for the sum of the two angles.

Questions that require responses at fixed intervals along a scale of answers are called scale questions.

Closed-ended questions, such as the Likert Scale, are one of the most popular methods for gauging public opinion. To gauge people's opinions, attitudes, and beliefs, they employ psychometric testing. Statements are used in the questions, and respondents are asked how much they agree or disagree with each assertion. Likert Scale questions typically have a scale from 0 to 10, while shorter scales are also conceivable.

Every sort of research has benefits and drawbacks, and this particular question type has both in spades. The fundamental benefit of Likert Scale questions is that they follow a standard way of data collection, making them simple to comprehend.

Hence, according to the definition questions that require responses at fixed intervals along a scale of answers are called scale questions.

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Answer:

y = -2/5x + 9

Step-by-step explanation:

The slope will always be before the x. And intercept will always go after the slope. If your intercept is negative, remember to write it as x-9 rather than x+9.

And you'll always want to add the y = at the beginning

Answer:

B or D

Step-by-step explanation:

best bet is B

Answer:4

Step-by-step explanation:

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20

Cost of jackets= $75

Number of shorts= 5

Cost of each short = x

Total amount Jim spent= $175

Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)

175 = 75 + 5x

subtract 75 from both sides

175 - 75 = 5x

100 = 5x

divide both sides by 5

x = 100/5

x = $20

Ultimately, each pair of shorts cost $20

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Answer:

c

Step-by-step explanation:

In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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Given the Multiplication:

You need to remember the following formula that can be used to multiply binomials in that form:

In this case:

Therefore, using the formula, you get:

Hence, the answer is:

Answer:

\(x = - \frac{1}{28} \)

Step-by-step explanation:

is your answer

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Type I error refers to rejecting a true null hypothesis, while Type II error refers to failing to reject a false null hypothesis. Types of statistical analyses include descriptive statistics, inferential statistics, correlation analysis, regression analysis, etc.

Type I error is a false positive, and Type II error is a false negative. Examples of Type I errors include convicting an innocent person in a criminal trial and rejecting a new drug that is actually effective. Examples of Type II errors include failing to convict a guilty person in a criminal trial and accepting a new drug that is actually ineffective.

Various statistical analyses can be applied to the data collected in research studies, depending on the research question and the type of data. Some common types of statistical analyses include descriptive statistics, inferential statistics, correlation analysis, regression analysis, t-tests, analysis of variance (ANOVA), and chi-square tests. Descriptive statistics are used to summarize and describe the characteristics of the data, while inferential statistics are used to draw conclusions and make inferences about the population based on sample data. Correlation analysis examines the relationship between two or more variables, regression analysis explores the relationship between a dependent variable and one or more independent variables, t-tests compare means between two groups, ANOVA analyzes differences among three or more groups, and chi-square tests examine the association between categorical variables.

Type I error, also known as a false positive, occurs when we reject a null hypothesis that is actually true. This means we conclude that there is a significant effect or relationship when there is none in reality. For example, in a criminal trial, a Type I error would be convicting an innocent person. Another example is rejecting a new drug that is actually effective, leading to the rejection of a potentially beneficial treatment.

On the other hand, a Type II error, also known as a false negative, occurs when we fail to reject a null hypothesis that is actually false. In this case, we fail to detect a significant effect or relationship when one exists. For instance, in a criminal trial, a Type II error would be failing to convict a guilty person. In the context of medical testing, a Type II error would occur if we accept a new drug as ineffective when it is actually effective, resulting in the approval of an ineffective treatment.

Various statistical analyses can be applied to research study data depending on the research question and the type of data collected. Descriptive statistics are used to summarize and describe the characteristics of the data, such as measures of central tendency (e.g., mean, median) and variability (e.g., standard deviation, range). Inferential statistics are used to make inferences and draw conclusions about the population based on sample data, such as hypothesis testing and confidence interval estimation.

Correlation analysis examines the relationship between two or more variables and determines the strength and direction of their association. Regression analysis explores the relationship between a dependent variable and one or more independent variables, allowing us to predict the value of the dependent variable based on the independent variables.

T-tests are used to compare means between two groups, such as comparing the average test scores of students who received a specific intervention versus those who did not. Analysis of variance (ANOVA) analyzes differences among three or more groups, such as comparing the performance of students across different grade levels.

Chi-square tests examine the association between categorical variables, such as analyzing whether there is a relationship between gender and voting preference. These are just a few examples of the statistical analyses commonly applied to research study data, and the specific choice of analysis depends on the research question and the nature of the data.

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Answer:

C. The late fee per day for the book

Step-by-step explanation:

“ The library charged a fixed rental for the book and a late fee for every day the book was overdue.”

Answer:

C

Step-by-step explanation:

the problem says there is a late fee for every day the book is overdue, 'x' represents the days, so multiplying the two together filling in 'x' would give you the total late fee amount.

Answer:

Step-by-step explanation:

gnag  dsewhqjhnqrhjwqkhjqrkhwq

The inverse Laplace transform of (4+9s)/s^2 is given by f(t) = 4t + 9, where f(t) represents the time-domain function.

To find the inverse Laplace transf

orm of (4+9s)/s^2, we can use the property that the inverse Laplace transform of a constant multiplied by a term of the form s^n is equal to t^(n-1)/((n-1)!).

In this case, we have (4+9s)/s^2, which can be rewritten as 4/s^2 + 9s/s^2. Applying the property mentioned above, we get the inverse Laplace transform of 4/s^2 as f₁(t) = 4t and the inverse Laplace transform of 9s/s^2 as f₂(t) = 9.

Therefore, the inverse Laplace transform of (4+9s)/s^2 is the sum of f₁(t) and f₂(t), which gives us f(t) = 4t + 9. Thus, the time-domain function is f(t) = 4t + 9.

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Answer:

3(x+y+Z)=k

Step-by-step explanation:

Answer:

Zeros Calculator. The zeros of a polynomial equation are the solutions of the function f(x) = 0. A value of x that makes the equation equal to 0 is termed as zeros. It can also be said as the roots of the polynomial equation. Find the zeros of an equation using this calculator.

Step-by-step explanation:

Please mark me the brainiest if I got it right

There are seven lines of symmetry in a heptagon. In a heptagon, the sides and angles are equal. Each vertex and the center of a regular heptagon are where the line of symmetry crosses.

What is Reflectional Symmetry ?

Any symmetry with regard to a reflection is referred to as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry. In other words, a figure with reflectional symmetry does not alter when it is reflected. There is a line/axis of symmetry in 2D and a plane of symmetry in 3D. When a form or pattern is mirrored in a line of symmetry or a mirror line, this is known as reflective symmetry. The reflected form will have the same size, distance from the mirror line, and other characteristics as the original shape. When a figure can be split into two equal halves that match, it has line symmetry or reflection symmetry.

If a figure can be reflected over a line and retain its original appearance, it possesses reflection symmetry. If a figure can be altered while maintaining its appearance, it possesses symmetry.

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Complete question

Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of reflectional symmetry. A line of symmetry will connect 2 vertices. A line of symmetry will connect a vertex and a midpoint of an opposite side. It has 7-fold symmetry. A line of symmetry will connect the midpoints of 2 opposite sides.

Answer:

x=24

Step-by-step explanation:

Hi there!

We are given the following proportion:

\(\frac{2}{10}=\frac{3}{x-9}\)

And we want to solve for x.

First, let's reduce \(\frac{2}{10}\), as reducing fractions typically makes the process easier

\(\frac{2}{10}\) is the same as \(\frac{1}{5}\)

So:

\(\frac{1}{5}=\frac{3}{x-9}\)

We can't do anything to \(\frac{3}{x-9}\), but that's okay.

Now we can cross multiply, as this is a proportion

Multiply x-9 by 1 and 3 by 5

1(x-9)=3(5)

Multiply

x-9=15

Now this is an equation

Our goal is to isolate x on one side

So let's add 9 to both sides to remove it from the left side

x-9=15

 +9 +9

_________

x=24

Hope this helps!

Answer:

24

Step-by-step explanation:

Cross multiply:

2(x - 9) = 2x - 18

3(10) = 30

2x-18 = 30

   +18   +18

-----------------

  2x = 48

 -----   -----

   2       2

     x = 24

Hope this helped.

The confidence level determines the degree of certainty with which we can say that the true population parameter falls within the interval estimate. The higher the confidence level, the wider the interval estimate.

For example, suppose we have a sample of size n = 100, and we want to compute a confidence interval for the population mean μ based on a 95% confidence level. If the sample mean is 10 and the sample standard deviation is 2, the interval estimate is given by:

where z is the critical value from the standard normal distribution corresponding to a 95% confidence level, and the standard error is the standard deviation of the sampling distribution of the mean, which is equal to the standard deviation of the sample divided by the square root of the sample size:

The critical value z for a 95% confidence level is approximately 1.96. Therefore, the interval estimate is:

This means that we are 95% confident that the true population mean falls within the interval [9.6, 10.4]. If we had chosen a higher confidence level, such as 99%, the critical value z would be larger (approximately 2.58), and the interval estimate would be wider:

This means that we would be 99% confident that the true population mean falls within the wider interval [9.02, 10.98]. Conversely, if we had chosen a lower confidence level, such as 90%, the critical value z would be smaller (approximately 1.645), and the interval estimate would be narrower:

This means that we would be 90% confident that the true population mean falls within the narrower interval [9.34, 10.66].

In summary, the choice of confidence level has a direct impact on the width of the interval estimate, with higher confidence levels leading to wider intervals and lower confidence levels leading to narrower intervals. The level of confidence chosen depends on the desired degree of certainty and the trade-off between the precision and accuracy of the estimate.

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Answer:

5a²+22a+8

Step-by-step explanation:

(5a×a)+(5a×4)+(2×a)+(2×4)

=5a²+20a+2a+8

=5a²+22a+8

Answer:

aas

Step-by-step explanation:

I've done the worksheet I'm pretty sure its right.

For a unimodal distribution which is symmetrical with a mean price of $2.11 and standard deviation of $0.56, a local grocer’s price of $3.50 in standard units would be 2.282 and it is unusually expensive.

A unimodal distribution refers to a distribution with one clear peak as the values increase to a single highest point after which they. It can be symmetrical or non-symmetrical. A symmetrical distribution refers to a distribution whose mean, mode, and median are all equal.

The standard score (z) is given by:

z = (x - µ)/σ where µ is the mean and σ is the standard deviation.

To determine the value of z for $3.50 price:

z = (3.5 – 2.11)/0.56 = 2.482

From the z-table, the probability of z ≥ 2.282

P (z ≥ 2.282) = 1 – P (z < 2.282) = 1 – 0.98876 = 0.0112 or 1.12%

Hence, the price of $ 3.50 is unusually high.

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Answer:

a. 26%

b. It's a binomial distribution because the competition will only have two outcomes, win or lose.

c. 4/7 or 57%

Step-by-step explanation:

Hope this helps :)

Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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Answer:

C: 1/2.

Step-by-step explanation:

the answer is 1/2 because I just took it and got it right.

The area of the triangle is 6 square units

The formula for calculating the area of a triangle is expressed as:

From the given triangle, the length of the diagonal of each square is expressed as:

\(l=\sqrt{1^2+1^2} \\l=\sqrt{2}\)

Height of the triangle = √2 + √2 = 2√2

Base of the rectangle = √2 + √2 + √2= 3√2

Area of the triangle= 0.5 * 2√2 * 3√2  

Area of the triangle 3(2)

Area of the triangle = 6 square units

Hence the area of the triangle is 6 square units

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Since the graph of F(x), has the same shape as the graph of G(x) = x³ - x², but it is shifted to the left 1 unit, its equation is: B. F(x) = (x + 1)³ - (x + 1)²

In Mathematics and Geometry, the translation of a graph to the left simply means subtracting a digit from the numerical value on the x-coordinate of the pre-image;

g(x) = f(x + N)

On the other hand, the translation a geometric figure or graph upward simply means adding a digit to the numerical value on the positive y-coordinate (y-axis) of the pre-image; g(x) = f(x) + N.

Based on the information provided, we have the following transformation:

(x, y)                               →                  (x - 1, y)

G(x) = x³ - x²                  →        F(x) = (x + 1)³ - (x + 1)²

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Complete Question:

The graph of F(x), shown below, has the same shape as the graph of G(x) = x³ - x², but it is shifted to the left 1 unit. What is its equation?

F(x) =

OA. F(x) = (x-1)3³ -(x-1)²

B. F(x) = (x + 1)³ - (x + 1)²

C. F(x)=x²-x²-1

O D. F(x)=x²-x²+1

Answer:

[See Below]

Step-by-step explanation:

✦ 1$ = 0.78£

  ✧ So do 3750 x 0.78 = 2925£

✦ 1£ = 1.28$

  ✧ 2925 / 1.28 = 2285$

So it'd be D, More than 0$ but less than 3750$.

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

what?

Step-by-step explanation:

The gradient of a function points in the direction in which the function increases the fastest because it represents the direction of greatest increase of the function.

The gradient of a function is a vector that points in the direction of the steepest increase of the function at a particular point. This means that if we move in the direction of the gradient, the value of the function increases the fastest.

To understand why this is true, let's consider the definition of the gradient. The gradient of a function f(x) is defined as a vector of partial derivatives:

∇f(x) = (∂f/∂x1, ∂f/∂x2, ..., ∂f/∂xn)

Each component of the gradient vector represents the rate of change of the function with respect to the corresponding variable. In other words, the gradient tells us how much the function changes as we move a small distance in each direction.

When we take the norm (or magnitude) of the gradient vector, we get the rate of change of the function in the direction of the gradient. This means that if we move in the direction of the gradient, the value of the function changes the fastest, because this is the direction in which the function is most sensitive to changes in the input variables.

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