Rebecca is 22 years old and in her last year of college. She is studying hotel and restaurant management. She has worked in the food services industry since she was 16. After graduation, Rebecca will move to Niagara Falls and begin work at a local hotel and conference center. Her starting wage will be $14.30/h based on a 40-h work week, with an increase in pay and responsibility after six months. Rebecca's net earnings are approximately 80% of her gross earnings. She will be paid every second Friday. Rebecca does not own a car. She decides to rent an apartment within walking distance of the hotel for $700 per month. Assume the average monthly cost for utilities-water, electricity, and heating will be $75, since utilities are not included. To Do: 1. Estimate Rebecca's other expenses, such as food and household items, etc. 2. Design a budget for Rebecca with the information you know. Use the paper budget template. Is she earning enough to cover her expenses? If not, how can she balance her budget? Income Monthly Percentage Total Income: Expenses Fixed Total Fixed Expenses Variable Total Variable Expenses: Total Expenses: Total Income-Total Expenses 3. Create a pie chart to display the percentages of the monthly expenses.

Answer:

x = 5

Step-by-step explanation:

Here, we are interested in calculating the value of x.

We can obtain this from the given angle in the question.

Mathematically;

<CDE = <YDE + <CDY

Thus;

147 = 10x-3 + 21x-5

147 = 31x -8

31x = 8 + 147

31x = 155

x = 155/31

x = 5

The ratios of 18/32, 27/48​ do not form a proportion.

The concept that will be used here is ratios. when we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.

The given proportion is 18/32, 27/48​

18/32 = 0.5625

27/48​ = 0.354

Hence they  do not form proportion since they are not equal.

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Answer:

Area = x2 +x - 30

Step-by-step explanation:

area = length x width

(x+6) (x-5) = x2 +6x -5x -30  =  x2 + x -30

Answer:

There are 200 teddy bears, to find this answer divide 240 by 6, which is 40, then multiply 5 times 40 and you get your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

TB = number of Teddy Bears

D = number of Dolls

D = 240

D/TB = 6/5

240/TB = 6/5

6TB = 5*(240)

6TB = 1200

TB = 200

====

240/200 = 24/20 = 6/5:   It checks.

Answer:

20.24

Step-by-step explanation:

Recall SOH, CAH, TOA and realize that TOA is the easiest one

we have

\(tan(39)=\frac{x}{25}\\tan(39)*25=x\\20.24=x\)

On solving the provided question we can say that by property AAA both triangle EFG and CBE are similar and in the triangle UVT and QRS  all sides are not equal, so it is not similar to any.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

in the triangle UVT and QRS

all sides are not equal, so it is not similar to any.

in triangle EFG and CBE

angle EBC = angle EGF

angle BCE = angle GFE

angle BEC = angle FEG

so by property AAA both triangle EFG and CBE are similar

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Answer:

if it was 50% off the cost would be $145.64

Step-by-step explanation:

291.29 / 1/2= 145.64

50% = 1/2

Answer:

\(x = - \frac{5}{22} \)

Step-by-step explanation:

\(4 - \frac{2(x - 4)}{3} = \frac{3(2x + 5)}{2} \)

➡️ \( 4x - \frac{2x - 8}{3} = \frac{6x + 15}{2} \)

\( ➡️ 24 - 2(2x - 8) = 3(6x + 15)\)

\( ➡️ 24 - 4x + 16 = 18x + 45\)

\( ➡️ 40 - 4x = 18x + 45\)

\( ➡️ - 4x - 18x = 45 - 40\)

\( ➡️ - 22x = 5\)

➡️ \( x = - \frac{5}{22} \)

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Quality in diagnostic tests refers to their ability to provide accurate and consistent results. Two key aspects of quality are reliability and validity. Reliability refers to the consistency and stability of test results over time, while validity pertains to the accuracy and relevance of the test in measuring what it is intended to measure.

Reliability ensures that a diagnostic test produces similar outcomes when administered multiple times under the same conditions. This is crucial, as consistent results build trust in the test and increase its usability in clinical settings. A reliable test reduces the risk of incorrect diagnoses or misinterpretations, ultimately leading to better patient care.

Validity, on the other hand, assesses the test's ability to accurately identify a specific condition or characteristic. A valid test must be both sensitive (detecting true positives) and specific (avoiding false positives). A high-quality diagnostic test should be able to differentiate between those who have the condition and those who do not, thereby guiding appropriate treatment decisions.

In summary, the quality of a diagnostic test depends on its reliability and validity. A high-quality test is both consistent in its results and accurate in detecting the intended condition. Ensuring both aspects are met contributes to better patient outcomes and more effective healthcare delivery.

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Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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The geom_jitter() function is the function creates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier to find

Given that,

In order to make the points in the plot easier to find, function first creates a scatterplot and then adds a small amount of random noise to each point in the plot.

Generally, To make the points in the scatterplot easier to find, the geom jitter() method first builds a scatterplot and then adds a little amount of random noise to each point in the plot.

What is the purpose of the Geom jitter () function? Description. The geom point (position = "jitter") shortcut is the jitter geom. It is a practical method of managing overplotting brought on by discreteness in smaller datasets by adding a little degree of random variation to the location of each point.

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The geom_jitter() function is a funcreates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier

Given that,

Function first makes a scatterplot, then adds a small amount of random noise to each point in the plot to make the points in the field easier to find.

The geom jitter() method often produces a scatterplot first, then adds a small amount of random noise to each point in the plot to make the points in the field easier to find.

What does the Geom jitter () function do? The jitter geom is the shortcut geom point with a position equal to "jitter". It is a helpful technique for controlling overplotting caused by discreteness in smaller datasets by giving each point's location a small amount of random variation.

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Answer:

x=-7

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

5+3x-37=6x+23-8x

add like terms

-32+3x=-2x+23

add 2x to both sides

-32+3x+2x=23

add 32 to both sides

3x+2x=23+32

add like terms

5x=55

divide by 5 on both sides

x=11

if we're going with single topping, single cheese per pizza, the answer is 30.

The area of a circle is given by:

Where π ≅ 3.14 and d is the diameter of the circle.

Now, a semi-circle is a half of a circle, so its area is half of the area of the complete circle:

Replacing the value d = 14 in the last formula, we get:

Answer

The area of a semicircle with a diameter d =14 is approximately 76.97 units square.

Answer:

1575

Step-by-step explanation:

First of if B if 2x's c minus 1875 do 1875+3525=5400/2=2700$. Then for A's subtract 1875 by 300 1865-300=1575.     The answer is 1575

Answer:

its 3/5 so you just add the numerator to the numerator and add the denominator to the denominator.

Answer:

7/6 is the answer

Step-by-step explanation:

=(1/2+2/3)

taking L.C.M

=     (3+4)/6

=7/6

Answer:

0.04

Step-by-step explanation:

3÷80.81= 0.037

to the nearest whole number = 0.04

Answer:

Step-by-step explanation:

If k is any integer then 2k is even number and 2k+1 is odd number.

The next odd number to 2k+1 would be: 2k+1+2=2k+3

the sum is 104 so:

2k+1 + 2k+3 = 104

4k + 4 = 104

4k = 100

k = 25

2k+1 = 2•25+1 = 51

2k+3 = 2•25+3 = 53

Check:

51 + 53 = 104

Answer:

4 hours

Plz mark me brainliest

Step-by-step explanation:

The pairwise comparisons that need to be made for this anova result will be b.3

In order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:

N = (k * (k-1)) / 2

Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.

Plugging in the values:

N = (3 * (3-1)) / 2

N = (3 * 2) / 2

N = 6 / 2

N = 3

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Answer:

42.39 yd²

Step-by-step explanation:

the sector area = (3π/4)/2π × 3.14 × 6²

= 3/8 × 3.14 ×36 = 42.39 yd²

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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In the ANOVA test, factors don't directly explain variation, levels don't account for external variation, and the blocking factor's significance should be considered despite a significant main factor for accurate interpretation.

1. A factor in an ANOVA test that does not necessarily describe the cause of the variation in the data is False. A factor represents a categorical variable or an independent variable that is believed to have an effect on the dependent variable. It is used to explain the observed differences among groups or treatments, but it does not directly explain the cause of the variation.

2. A level in an ANOVA test does not account for the variation outside of the main factor is False. A level refers to the different values or categories within a factor. It represents the specific groups or treatments being compared within a factor.

Levels do not account for variation outside of the main factor; rather, they help analyze the variation within the factor and assess the differences between the levels.

3. The significance of the blocking factor is still important even if the main factor is statistically significant in a randomized block ANOVA is False. A blocking factor is included to account for potential sources of variation that are not of primary interest but might affect the outcome variable.

It helps control for confounding variables or other sources of variation, and its significance should be considered in interpreting the results accurately. Both the main factor and the blocking factor need to be evaluated to understand the overall significance and impact of different factors on the outcome variable.

Therefore, all the answers are false.

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Note: The question would be as

1. A Factor In An ANOVA Test Describes The Cause Of The Variation In The Data. True Or False?

2. A Level In An ANOVA Test Accounts For The Variation Outside Of The Main Factor. True Or False?

3. As Long As The Main Factor Is Statistically Significant With Randomized Block ANOVA, There Is No Concern About The Significance Of The Blocking Factor. True

The adjacent angles in the figure are given as follows:

<HAI and <IAE.

Two angles are classified as adjacent if they have a common vertex and a common side, but do not overlap.

Hence the adjacent angles in the figure are given as follows:

<HAI and <IAE -> common vertex of H, common side of AI.

For the remaining three pairs, they either do not have a common vertex, such as the last option, or do not have common sides, such as the middle two options.

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Answer:

y= -6+2/3x

Step-by-step explanation:

2x-3y=18

Minus the 2x from both sides

-3y=18-2x

Then divide both sides by -1

-3y÷-1=18÷-1 -2x÷-1

Lastly divide both sides by 3

3y÷3= -18÷3+2x÷3

The equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making subject y.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

2x – 3y = 18

2x - 3y = 18

-3y = 18 - 2x

y = (2/3)x - 6

Thus, the equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making the subject y.

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Inferential Statistics is discussed below.

We have the following statement -

Statistical techniques that allow us to study samples and then make generalizations about the populations from which they were selected.

We have to determine what kind of techniques are these.

It is a part of mathematics that deals with the collection, analysis, interpretation, and presentation of numerical data.

According to the question -

The techniques that allow us to study samples and then make generalizations about the populations from which they were selected are part of the inferential statistics.

Inferential statistics helps us to make predictions from the data described by descriptive statistics. It has two main areas -

1 -   Estimating Parameters

2 -  Hypothesis tests

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The value of y is 11.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given that Parallelogram ABCD is a rectangle.

Consider that AC and BD are opposite sides. In a parallelogram, we know that opposite sides are congruent which means:

AC = BD

2y + 7 = 3y - 4

Solving;

2y - 3y = -4 - 7

-y = -11

y = 11

Hence, the value of y is 11.

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