I am an even whole number. I am greater than 0 and I am also less than 20. If you multiply me by 2 the product will be less than 3.

The piecewise function when represented on the graph based on each domain is added as an attachment

Given that

So, we have the following piecewlse function that represents the scenario

f(x) = 12 when 0 < x ≤ 2

     = 19 when 2 < x < 6

     = 25 when 6 ≤ x ≤ 14

Next, we plot the function on the graph based on each domain

See attachment for the graph

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Answer: y=12

Step-by-step explanation:

So it says 2x - y = 10 so basically we have to find a number that gives you 10 and that number is 12 because 12-2=10.

I hope this helps!

After calculating the 90% confident true mean income per month of a person who works from home in sales falls between $2146.47 and $2553.53.

To calculate the 90% confidence interval for the true mean income per month of a person who works from home in sales, we can use the following formula:

[tex]CI = X' ± Z\frac{a}{2}[/tex] * (σ/√n)

here:
X' = sample mean
Zα/2 = z-score that corresponds to the desired level of confidence (in this case, 90%)
σ = population standard deviation
n = sample size

Placing the  values

CI = 2350 ± 1.645 * (175 / √12)
= [2146.47, 2553.53]

After calculating the 90% confident true mean income per month of a person who works from home in sales falls between $2146.47 and $2553.53.
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An equation in slope-intercept form for the line shown in the given graph is equal to y = -5x + 5.

What is the slope-intercept form?

The line with m as the slope, m, and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

Here, we have

Given graph and we have to find the equation for the line shown in the given graph.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (5 - 20)/(0 + 3)

Slope (m) = -15/3

Slope (m) = -5.

At data point (0, 5) and a slope of -5, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -5(x - 0)

y - 5 = -5x

y = -5x + 5

Hence, an equation in slope-intercept form for the line shown in the given graph is equal to y = -5x + 5.

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Answer:

69/5 or 13.8

Step-by-step explanation:

..…........

On solving the provided question we can say that As a result, the sequence's ninth term is -781250.

A sequence is a collection of numbers, sometimes known as "terms." Terms like 2, 5, and 8 are examples. Some sequences may be made infinitely long by utilising a specific pattern they follow. To continue the process, take the example of 2,5,8 and add 3. There are formulae that show where to search in a series for words. In mathematics, a sequence (or event) is a collection of items that are in some order. It is similar to a set in that it comprises parts (also known as elements or terms). The length of a series is defined as the total number of ordered items, which may be infinite. The act of arranging two or more elements in a logical sequence.  

To discover the nth term in a series, we must first figure out what pattern or rule guides the sequence.

In this situation, each term in the series may be generated by multiplying the previous term by -5. So the pattern or rule for this sequence is as follows:

an = -5 * an-1

where a1 = -2

[tex]a^9 = -5 * a8\\= -5 * (-2 * (-5)^7)\\= -781250\\[/tex]

As a result, the sequence's ninth term is -781250.

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None of the descriptive alternatives are correct.

What is the null hypothesis?

In statistical hypothesis testing, null and alternate hypotheses are utilized. The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.

Here, we have

Given:  if obtained from an experiment, would lead to rejecting the null hypothesis if a = .01.

for 1st choice ; p-value =fdist(5,3,18)= 0.0107

for 2nd choice : p-value =fdist(4.08,3,8)=0.0496

for 3rd choice : p-value =fdist(150,1,1)=0.052

since none of the choices have p value less than 0.01; none of these would lead to a rejected null hypothesis.

Hence, none of the descriptive alternatives are correct.

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Since the calculated t-value (0.701) is less than the critical value (1.996), we fail to reject the null hypothesis. Therefore, we do not have convincing evidence that the ages at first marriage are higher in Spain than in Italy.

A two-tailed t-test is a statistical hypothesis test used to determine whether there is a significant difference between the means of two groups. It is called a "two-tailed" test because the alternative hypothesis is that the means are not equal, and the difference could be in either direction (i.e., the difference could be positive or negative). The null hypothesis is that the means are equal, and the test calculates the probability that the observed difference between the means could have occurred by chance if the null hypothesis were true. If this probability (known as the p-value) is less than a pre-determined level of significance (typically 0.05 or 0.01), the null hypothesis is rejected, and it is concluded that there is a significant difference between the means of the two groups.

Here,

To determine if there is convincing evidence that the ages at first marriage are higher in Spain than in Italy, we can perform a two-sample t-test for the difference in means.

The null hypothesis is that there is no difference in the mean ages at first marriage between Spain and Italy, while the alternative hypothesis is that the mean age at first marriage is higher in Spain than in Italy.

We can use the following formula to calculate the t-statistic:

t = (x1 - x2) / √(s1²/n1 + s2²/n2)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the values, we get:

t = (29.5 - 28.8) / √((2.5²/84) + (3.6²/73))

t = 0.701

Using a two-tailed t-test with degrees of freedom equal to the smaller of n1-1 and n2-1 (in this case, 73-1 = 72), and a significance level of 0.05, the critical value is 1.996.

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Answer:

15

Step-by-step explanation:

i got tHAT TEST TRUST ME

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The emission of CO₂ after 14 years will be 52755 KT.

Given that, the emissions of CO₂ is 70,000 KL, will decrease at the rate of 2% per year for 14 years,

So,

Emission (E₀) for 14t year = 70,000 × (1-0.02)¹⁴

= 70000 × 0.75
= 52755

Hence, the emission of CO₂ after 14 years will be 52755 KT.

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The a. Perimeter = 22√7 - 2√3 meters. The Area = 4√12 - 3√7 square meters

Area = length * width

Perimeter = 2(length + width)

Given the following:

Length of the rectangle = 5√7 + 2√3 meters

Width of the rectangle = 6√7 - 3√3 meters

a. Perimeter = 2(5√7 + 2√3) + 2(6√7 - 3√3)

10√7 + 4√3 + 12√7 - 6√3

22√7 - 2√3 meters

b. Area = (5√7 + 2√3)(6√7 - 3√3)

= 5√7(6√7 - 3√3) + 2√3(6√7 - 3√3)

= 210 - 15√21 + 12√21 - 18

= 192 - 3√7

= 4√12 - 3√7 square meters

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The median length of time required to review an application is 105 minutes.

To find the median, the data needs to be arranged in order from least to greatest: 19, 48, 140, 220.

Since there is an even number of data points, the median is the average of the two middle values, which in this case are 48 and 140. Adding them together and dividing by 2 gives 94, which is less than the next highest value of 220.

Therefore, the median length of time required to review an application is 105 minutes.

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Answer:

To determine the number of sheets of cardboard in a stack, we need to use the information given in the problem.

We know that each sheet of cardboard is 1 inch thick, and 16 sheets are stacked on top of each other in packages. The height of each stack is 21 inches.

Using the model of a ruler, we can divide the height of the stack (21 inches) by the thickness of each sheet (1 inch) to find the number of sheets in the stack.

21 ÷ 1 = 21

So, there are 21 sheets of cardboard in a stack.

To write an expression that can be used to determine the number of sheets of cardboard in a stack, we can use:

Number of sheets = height of stack ÷ thickness of each sheet

Or, substituting the given values: Number of sheets = 21 ÷ 1 = 21

This expression is simply a representation of the model we used earlier. It shows that we can determine the number of sheets in a stack by dividing the height of the stack by the thickness of each sheet. In this case, the expression yields the same result as the model, which is 21 sheets.

A scatter plot is a graphical representation of a set of data points that displays the relationship between two variables.

How to solve the question?

The plot uses a Cartesian coordinate system, with one variable plotted on the x-axis and the other on the y-axis. Each data point is represented by a dot, with its location on the plot determined by its values for the two variables. The pattern of the dots on the plot gives insight into the relationship between the two variables.

Scatter plots are useful for visualizing the strength and direction of a relationship between two variables. A positive relationship between the variables means that as one variable increases, the other variable also increases. In contrast, a negative relationship means that as one variable increases, the other variable decreases. A scatter plot can also help to identify any outliers or unusual data points.

Scatter plots can be used to analyze many types of data, including scientific data, financial data, and social data. They can be used to identify trends, correlations, and patterns that might not be immediately apparent from a simple numerical analysis of the data. Scatter plots are a valuable tool for data analysis and visualization, and are widely used in scientific research, data analysis, and data-driven decision making.

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Answer: 729

Step-by-step explanation:

3^2 is the same has 3 to the power of 2

9^2 is the same as 9 to the power of 2

When you see an expression like 3^2 x 9^2, it means you must raise 3 and 9 to the power of 2, multiply those numbers, and then do it again.

3 raised to the power of 2, often known as 3 times itself or 3 x 3, equals 9.

9 raised to the power of 2, often known as 9 times itself (9 x 9), equals 81.

As a result, when we change these values in the original expression, we obtain:

3^2 x 9^2 = 9 x 81

Now that we have these two integers, we can easily multiply them to obtain the result:

9 x 81 = 729

Therefore, 729 is the answer to the equation 3^2 x 9^2.

The statement that is not necessarily correct is ΔTRS ≅ ΔVUW. So, correct option is D.

The given information states that two triangles are congruent based on the corresponding parts, RS ≅ UV, RT ≅ UW and ∠R ≅ ∠U.

To determine which statement is not necessarily correct, we need to use the congruence criteria that are sufficient to prove the congruence of triangles. These criteria are:

SSS (Side-Side-Side): If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

SAS (Side-Angle-Side): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

ASA (Angle-Side-Angle): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

AAS (Angle-Angle-Side): If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Using the given information, we can apply the SAS criterion to show that ΔRST ≅ ΔUVW. This is because we know that RS ≅ UV, RT ≅ UW, and ∠R ≅ ∠U. Therefore, the statement (a) ΔRST ≅ ΔUVW is correct.

Now, we can use the SAS criterion again to show that ΔSTR ≅ ΔVWU. This is because we know that RS ≅ UV, RT ≅ UW, and ∠R ≅ ∠U. Therefore, the statement (b) ΔSTR ≅ ΔVWU is also correct.

We can also use the SAS criterion to show that ΔTRS ≅ ΔVWU. This is because we know that RS ≅ UV, RT ≅ UW, and ∠R ≅ ∠U. Therefore, the statement (c) ΔTRS ≅ ΔVWU is correct.

However, we cannot use any of the above criteria to show that ΔTRS ≅ ΔVUW. This is because we do not know that TU ≅ VW. Therefore, the statement (d) ΔTRS ≅ ΔVUW is not necessarily correct.

So, correct option is D.

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The amount that each girl receives if they receive $200 more than each boy is: $1133.33

We are told that $2800 is shared among four boys and two girls.

Thus:

Fraction of boys = 4/6 = 2/3

Fraction of girls = 2/6 = 1/3

Amount received by each boy if shared equally = (4/6) * 2800 = $1866.67

Amount received by each girl if shared equally = (2/6) * 2800 = $933.33

Now, each girl gets $200 more than each boy. Thus:

Amount each girl gets = $933.33 + $200 = $1133.33

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Answer:

Nicole pays 629 dollars per month.

Step-by-step explanation:

I think Nicole pays $629.29 per month

Step-by-step explanation:

Answer:

(i) Calculation:

1 GB = 1000 MB

Number of videos that could be stored = (1 GB / 100 MB) = 10

Therefore, William can store 10 videos on his computer if each video is 100MB in size.

(ii) Algorithm using pseudocode:

Ask the user to input the file size in megabytes.

Multiply the file size by 1,000,000 to convert it to bytes.

Print the result in a user-friendly format by dividing the bytes by 1,048,576 and rounding to two decimal places, and adding "MB" and "bytes" to the output.

Pseudocode:

Input file_size_in_mb

Set bytes = file_size_in_mb * 1000000

Set result = round((bytes / 1048576), 2)

Output "There are " + result + " MB " + bytes + " bytes".

These two events are independent. The action of Rafi downloading a song does not affect the probability of another customer in another city searching for a song on the same site.

The two events, Rafi downloading a song and a customer searching for a song, are independent because the occurrence of one event does not affect the probability of the other event occurring.

In other words, the actions of Rafi do not affect the actions of the customer in another city, and vice versa. The two events are unrelated and can occur simultaneously without affecting each other.

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Answer:

2(3h^2+2)

Step-by-step explanation:

the given equation y = 2.81x² represents a non-proportional situation because the output variable y is not directly proportional to the input variable x.

HOW TO SOLVE THE QUESTION?

The given equation y = 2.81x² represents a non-proportional situation because the output variable y is not directly proportional to the input variable x. In a proportional relationship, when one variable increases or decreases, the other variable changes in direct proportion to it. However, in this equation, the output variable y increases at a non-linear rate as the input variable x increases.

A proportional relationship between two variables is characterized by a constant ratio between the two variables, which means that if one variable is doubled, the other variable is also doubled. In this case, the coefficient of x² is not a constant value, which indicates that the ratio between y and x² is not constant. Therefore, the given situation is not proportional.

Furthermore, a non-proportional relationship between two variables may exhibit a curved or nonlinear relationship between the variables, as in the case of this equation where y increases at an increasing rate as x increases. Therefore, the given situation can be categorized as non-proportional.

In conclusion, the given equation y = 2.81x² represents a non-proportional situation because the output variable y is not directly proportional to the input variable x.

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In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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From the attached picture, it is proven that the diagonals of rectangle MNOP are congruent.

To show that the diagonals of rectangle MNOP bisect each other, we need to show that they intersect at their midpoint. Let's label the diagonals as AC and BD, where AC is the diagonal that goes from vertex M to vertex O, and BD is the diagonal that goes from vertex N to vertex P.

First, let's find the midpoint of AC. The midpoint of a line segment is the point that is exactly halfway between the two endpoints. The endpoints of AC are M and O, so we can find the midpoint by averaging their x-coordinates and y-coordinates:

midpoint of AC = ((Mx + Ox)/2, (My + Oy)/2)

Similarly, we can find the midpoint of BD:

midpoint of BD = ((Nx + Px)/2, (Ny + Py)/2)

Now we need to show that these midpoints are the same point. That is, we need to show that:

((Mx + Ox)/2, (My + Oy)/2) = ((Nx + Px)/2, (Ny + Py)/2)

To do this, we can set the x-coordinates equal to each other and the y-coordinates equal to each other:

(Mx + Ox)/2 = (Nx + Px)/2

(My + Oy)/2 = (Ny + Py)/2

Now we can solve for the values of x and y. First, we'll solve for x:

Mx + Ox = Nx + Px

2Mx + 2Ox = 2Nx + 2Px

Mx + Ox - Nx - Px = 0

(Mx - Nx) + (Ox - Px) = 0

Similarly, we can solve for y:

My + Oy = Ny + Py

2My + 2Oy = 2Ny + 2Py

My + Oy - Ny - Py = 0

(My - Ny) + (Oy - Py) = 0

Now we can see that the x-coordinate and y-coordinate of the midpoint of AC are equal to the x-coordinate and y-coordinate of the midpoint of BD, respectively. Therefore, the diagonals of rectangle MNOP bisect each other.

To show that the diagonals are congruent, we can use the Pythagorean theorem. Let's label the length of AC as a and the length of BD as b. Then we have:

a^2 = OM^2 + ON^2 (by the Pythagorean theorem in triangle OMN)

b^2 = PN^2 + PO^2 (by the Pythagorean theorem in triangle PON)

But we know that OM = ON and PO = PN, since MNOP is a rectangle. Therefore, we can simplify these expressions:

a^2 = 2OM^2

b^2 = 2PO^2

Since OM = PO (they are opposite sides of a rectangle), we can substitute to get:

a^2 = 2OM^2 = 2PO^2 = b^2

Therefore, a = b, and the diagonals of rectangle MNOP are congruent.

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According to the equation, the monthly fee that Sara paid was $60.

Let's start by assigning some variables. Let x be the monthly fee that Sara paid and let y be the number of months that Sara was a member of the gym. We know that Sara paid $15.95 to become a member, so her total cost can be represented by the equation:

Total Cost = Initial Cost + Monthly Fee x Number of Months

$735.95 = $15.95 + x x y

Now we have an equation with two variables. To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting $15.95 from both sides of the equation:

$720 = x x y

Next, we need to solve for x. Since we don't know the value of y, we can't solve for x directly. However, we do know that Sara was a member for 12 months, so we can substitute y = 12 into the equation:

$720 = x x 12

Now we can solve for x by dividing both sides by 12:

$60 = x

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