Before a raise, Gwen earned $210.00 each week at her job. She received a 2.5% raise. Which expression represents Gwen’s new earnings?

Answer: True

Step-by-step explanation:

-The f-distribution curve is positively skewed towards the right with a range of 0 and ∞

The value of F is always positive or zero. It never has negative values.

Answer:

w = 2 and x = 1

Step-by-step explanation:

UV = CB

10w - 33 = w + 48

9w = 81

w = 2

CD = UT (solving for x)

20x - 1 = 9x + 10

11x = 11

x = 1

The answer is A.

AKA 1.6

Answer:

3.5 cm

Step-by-step explanation:

Perimeter of rectangle = 2 × (w + h)

w = width

h = height

We have: 2 x (w + 6) = 19

w + 6 = 19 : 2 = 9.5

w = 9.5 - 6 = 3.5 (cm)

Answer:

8

Step-by-step explanation:

12(-2) = -24

-24/-3 = 8

Answer:

8

Step-by-step explanation:

\(\mathrm{Apply\:rule\:}a\cdot \left(-b\right)\:=\:-a\cdot \:b\)

\(12\left(-2\right)=-12\cdot \:2=-24\\\\\=-24\div \left(-3\right)\\\\\beta\mathrm{Apply\:rule\:}-a\div \left(-b\right)\:=\:a\div \:b\\\\-24\div \left(-3\right)=24\div \:3=8\\\\=8\)

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books.

The system of equation will be x+y = 7 and 20x+35y = 225.

Let x be the no of small boxes and y be the no. of large boxes.

Given here each small box can hold 20 books and each large box can hold 35 books.

A total of 7 boxes were sent.

So, x+y = 7.......equation 1

Also given that 7 boxes can hold 225 books altogether.

So, 20x+35y = 225.....equation 2

Hence the system of equation will be x+y = 7 and 20x+35y = 225.

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From the given numbers, the greatest number is 23 × 10^126

The first number = 23 × 10^126

The second number = 23 × 10^86

The third number = 23 × 10^66

The fourth number = 23 × 10^3

The scientific notation is defined as the easiest method to represents the very smallest or the largest number. The scientific notation consist of a whole number multiplied by the power of ten

Here, the whole number is same in all cases, only the power of the 10 is different . To find the largest number we have to find the number with largest power of 10

The number with largest power of 10 = 23 × 10^126

Hence, the greatest number is 23 × 10^126

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Answer:

Step-by-step explanation:

\((a^{m} )^{n}\) = \(a^{mn}\)

\((5^{3} )^{2}\) = \(5^{3*2}\) = \(5^{6}\) = 15,625

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

The number that is irrational among the option is √0.036.

An irrational number is a type of real number which cannot be represented as a simple fraction.

Irrational numbers cannot be written as a ratio of two integers.

Therefore, any numbers  that cannot be written as a simple fraction is an irrational number.

Example of irrational numbers are π, √2 etc.

Hence, rational numbers among the options are  7.25, √1 and 10.

The only irrational number is √0.036. This is because the number cannot be written as a simple fraction.

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Taking a sample of 5 students, to determine if there is a significant improvement in students' test scores over the course of the semester, comparison of the scores of Test 1 and Test 2 for each student need to be made.

Student 1: Test 1 = 80, Test 2 = 85

Student 2: Test 1 = 70, Test 2 = 75

Student 3: Test 1 = 85, Test 2 = 80

Student 4: Test 1 = 90, Test 2 = 92

Student 5: Test 1 = 75, Test 2 = 70

To assess individual improvement, we can calculate the difference between Test 2 and Test 1 scores for each student:

Student 1: Improvement = Test 2 - Test 1 = 85 - 80 = 5

Student 2: Improvement = Test 2 - Test 1 = 75 - 70 = 5

Student 3: Improvement = Test 2 - Test 1 = 80 - 85 = -5

Student 4: Improvement = Test 2 - Test 1 = 92 - 90 = 2

Student 5: Improvement = Test 2 - Test 1 = 70 - 75 = -5

Analyzing the individual improvements, we can see that three out of the five students (Student 1, Student 2, and Student 4) have shown an improvement in their test scores. However, two students (Student 3 and Student 5) have shown a decline in their scores. Based on this sample, we cannot draw a definitive conclusion about significant improvement on an individual basis over the course of the semester. Further analysis and a larger sample size would be necessary to establish any significant trends or patterns.

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Answer: The correct answer is A)

Explanation: To solve this question let's remember the following trigonometry functions given a right triangle

Step 1: Now let's identify the sides of our triangle as follows

Step 2: Now we are able to use the trigonometry function to find con x° as follows

Final answer: So the final answer is 15 divided by 17.

Answer:

$10

Step-by-step explanation:

This question has missing details.

The given parameters from the complete question is:

\(Slushy\ Cup = \$5\)

\(Refill = \$1\)

Required

Total amount for 1 cup and 5 refills

Let

\(x \to\) Slushy Cup

\(y \to\) Refill

So, the expression for the total amount is:

\(Total = 5x + y\)

\(x =1\) -- 1 cup

\(y = 5\) -- 5 refills

So, the total is:

\(Total = 5 * 1 + 5\)

\(Total = 5 + 5\)

\(Total = 10\)

The value of the variable is d = 0. 33

To determine the value, first, we have to determine the different trigonometric identities are listed as;

The ratio of the tangent identity is expressed as;

tan θ = opposite/adjacent

From the information given, we get;

tan 7 = d/2.7

cross multiply  the values, we have;

d = tan 7 × 2.7

Find the tangent value

d = 0.1227 × 2.7

Multiply the values

d = 0. 33

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Answer:

  3.56 kg

Step-by-step explanation:

You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.

The ratio of volumes of the model to the statue is the cube of the ratio of their heights:

  Vm/Vs = (Hm/Hs)³

  Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³

  Vm ≈ 0.002963 m³

The mass of the model is the product of its volume and its density:

  Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg

The mass of Justin's model is about 3.56 kg.

__

Additional comment

The relationship between density, volume, and mass is ...

  ρ = mass/volume

This can be rearranged to ...

  volume = mass/ρ

Which is the expression we used for Vs in the first section above.

(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)

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The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.

To find the mass of Justin's model, we can use the concept of mathematical similarity.

Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.

Let's calculate the volume ratio first:

Volume ratio = (Height of model / Height of statue)^3

            = (45 cm / 270 cm)^3

            = (0.1667)^3

            = 0.00463

Now, using the density ratio:

Density ratio = Density of model / Density of statue

            = 1200 kg/m³ / 2500 kg/m³

            = 0.48

Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:

Mass of Justin's model = Mass of statue * Volume ratio * Density ratio

                     = 1600 kg * 0.00463 * 0.48

                     = 3.5712 kg

Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.

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Answer:

q = 8/5r or q = 1.6r

Step-by-step explanation:

-7q + 12r = 3q - 4r

+7q           +7q

12r = 10q - 4r

+4r           +4r

16r = 10q

/10    /10

16/10 = 8/5     8/5 = 1.6

q = 8/5r or q = 1.6r

Dr. Pepper would use the t-test to compare the post-test scores of two groups of college students who received different counseling approaches.

When conducting research, it is important to determine if there is a significant difference between two groups. In this scenario, Dr. Pepper has used two different counseling approaches with two different groups of college students, and wants to see if there is a statistically significant difference between their post-test scores.

To determine if there is a significant difference between the post-test scores of the two groups, Dr. Pepper would most likely use a statistical test called the independent samples t-test. This test is used to compare the means of two independent groups, in this case the two groups of college students.

The t-test calculates the difference between the means of the two groups and determines whether that difference is statistically significant. It takes into account the sample size and the variability within each group to make this determination.

Dr. Pepper would first calculate the mean post-test score for each group, and then calculate the difference between those means. He would also need to calculate the standard deviation and sample size for each group.

Using these values, the t-test would calculate a t-value, which can be compared to a critical value based on the degrees of freedom and the desired level of significance. If the calculated t-value is greater than the critical value, it means that there is a significant difference between the means of the two groups.

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Answer:  b

Step-by-step explanation:

I think

The most appropriate method to test the hypothesis that, on average, students spend more time studying for SCMA301 than SCMA212 is the T-test for paired sampling.

The T-test for paired sampling is suitable for comparing the means of two related samples. In this case, the same group of 30 students is being observed and compared in two different situations: studying for SCMA212 and studying for SCMA301.

By using the paired sampling T-test, we can analyze the differences between the two sets of paired data (hours spent studying) for each student.

This method accounts for individual differences among students, such as learning styles or study habits, by comparing each student's performance in both courses. It allows us to determine whether there is a significant difference in the mean study hours between SCMA212 and SCMA301 for the same group of students. If the T-test reveals a statistically significant difference, it supports the hypothesis that, on average, students spend more time studying for SCMA301 than SCMA212.

Other methods mentioned, such as the Test on two proportions, Test on the linear regression slope, and Chi-square test for independence between two categorical variables, are not appropriate for comparing continuous numerical data, as in this case.

The T-test assuming unequal variances for two independent samples is also not ideal because we are comparing the same group of students in two different courses.

Therefore, to determine if students spend more time studying for SCMA301 than SCMA212, the most suitable approach is to use a paired t-test to compare the average study times of students in both courses.

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Complete question here:

30 students recorded the number of hours they spent studying during the semester outside of class for SCMA212. The next semester The 30 students took SCMA301and the recorded the no of hours spent studying outside of class for it. I hypothesize that on the same 30 students took SCMA301 and recorded the number the average students spend more time studying for SCMA301 than SCMA212 The most appropriate method to test the above hypothesis is?

T-test for paired sampling

Test on two proportions

Test on the linear regression slope

Chi-square test for independence between two categorical variables

T-test assuming unequal variances for two independent samples

Answer:

-3

Step-by-step explanation:

1. 6n+4n=-30

10n=-30

little confused on q2,3

a) The harmless leaf was the placebo in the experiment

b) Even the subjects that were just rubbed with a harmless leaf also developed rashes.

We know that the term Placebo has to with a treatment where a person is given a treatment in which he is convinced that it has properties which it in fact des not have. This experiment thus appeals to the psychology and the emotions of the individual subjects that participated in the experiment.

The Placebo in the experiment that has just been described above is the harmless leaf. The fact that all the subjects developed a rash on the arm where the harmless leaf was rubbed indicates that the placebo effect is real.

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According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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Given:

In year 2010

Number of chefs/head cooks = 100600

Number of full service manager = 320800

In year 2020

Number of chefs/head cooks = 98100

Number of full service manager = 318000

Required:

Which job is facing the largest percentage decrease

Explanation:

The percentage decrease in number of chefs is given by

Substituting the values we get

The percentage decrease in number of service manager is given by

Substituting the values we get

Final answer:

The chef's job is facing the largest percentage decrease by 2.48%

Answer: I would tell you the exact answer if I could, but I can’t because I can see it well, as it’s on its side and I’m on pc. But to find the mean/average, add all of the numbers up, then divide it by the amount of numbers you added. Like for instance, 20.1 and 22. The average would be 42.1 divided by 2. (21.05)

We must plot three points for the line and graph it, for the line we know, a point and its slope, which are:

To do this we first determine the function that describes this line, with the form y=mx+b where "y", we know it at a point being 2, "x" is -4 and m is the slope, now we clear b

So our function is as follows:

Having the function, we can now collect values for "x" and find the points to solve for and find the "y" value, in this case, we use x=-1, x=0, and x=2.

These values are random, they can be any desired value.

The first point is (-1,1)

The second point is (0,2/3)

The third point is (2,0)

In conclusion the points are:

Now, to plot this line, what we have to do is plot the points found and draw a line through all the points.

The graph with the given point, the three points found and your graph should look like the following graph.

That should help you with your question

Answer:

Y=76⁰

X=104⁰

Z=104⁰

Step-by-step explanation:

Y is equal to 76 bcz directly opposite angles are equal

x=180-76 which is 104⁰ bcz angles on a straight line add up to 180⁰