1. are people who are paid more ($20/hr) for a task (group a) more or less motivated than those who are paid less ($8/hr) for the same task (group b)? 2. are people more motivated when they are paid ($20/hr) for a task (condition a) than when they are not (condition b)? notice that both studies described are getting at the same research question (does more pay increase motivation?). but, the first example studies two different populations (those people who get paid more for a task and those who are paid less for the same task), while the second example studies the same people twice, under two different conditions or treatments (first when people get paid more for a task, and then when they get paid less for the same task). statement advantage not an advantage the repeated-measures t test can handle categorical data. in the repeated-measures t test the participants in one treatment are not substantially different from the participants in another. the repeated-measures t test can handle more than two conditions. the repeated-measures t test uses half the number of participants.

The annual rate is 6. 19 %

The formula for calculating simple interest is expressed as;

I = PRT/100

Such that the parameters of the formula are;

Substitute the values, we have;

445. 77 = $7200 × R × 1/100

cross multiply the values, we get;

R = 44, 577/7200

Divide the values, we get that;

R = 6. 19 %

Learn more about simple interest at: https://brainly.com/question/25793394

#SPJ4

Answer:

y = -2/5x -6

slope is -2/5

y intercept -6

Step-by-step explanation:

8x+20y=-120

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

Subtract 8x from each side

8x -8x+20y= -8x-120

20y = -8x - 120

Divide by 20

20y/20 = -8x/20 -120/20

y = -2/5x -6

Answer:

C

Step-by-step explanation:

-9×4

= -36

...

-9 × -3j = 27j

THEREFORE...

-36+27j

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

Learn more about linear equations in two variables at :

https://brainly.com/question/24085666

#SPJ4

The person can get 3 fives, 2 sixes, and 1 two in 336 ways.

To find the number of ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die, we can use the formula for combinations with repetition:

\(C(n + k - 1, k) = C(6 + 3 - 1, 3) * C(3 + 2 - 1, 2) * C(1 + 1 - 1, 1)\)

where n is the number of possible outcomes (in this case, 6), k is the number of choices to make (in this case, 3 for fives, 2 for sixes, and 1 for twos), and C(n + k - 1, k) represents the number of combinations with repetition.

Using this formula, we can calculate:

\(C(8, 3) * C(4, 2) * C(1, 1) = 56 * 6 * 1 = 336\)

Therefore, there are 336 ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die.

You can learn more about combination at

https://brainly.com/question/28065038

#SPJ11

sin(kx) has period 2π/k

so, you want

2 + 5sin(16π/7 x)

\(hope \: its \: helpful \: to \: you\)

Answer:

the answer is 8

Step-by-step explanation:

5 times  8 =45 5 time table

Answer:

9

Step-by-step explanation:

8x9=45

The number of weak compositions of 2n into 2k parts from which 2 are even and the others are all odd can be found by using the following formula:

C(2n - 2k + 2k - 2, 2k - 2) * C(2k - 2, 2)

Where C(n, k) is the binomial coefficient, which can be calculated as:

C(n, k) = n! / (k! * (n - k)!)

So, for the given example where n = 4 and k = 3, the number of weak compositions would be:

C(2 * 4 - 2 * 3 + 2 * 3 - 2, 2 * 3 - 2) * C(2 * 3 - 2, 2) = C(8, 4) * C(4, 2) = 70 * 6 = 420

Therefore, the number of weak compositions of 2n into 2k parts from which 2 are even and the others are all odd is 420.

Learn more about compositions

brainly.com/question/13808296

#SPJ11

Answer:

Step-by-step explanation:

Product of two negatives is positive

The equation of the quadratic function is: f(x) = 3x² - 18x - 48

To find the equation of a quadratic function in standard form, we need to use the zeros of the function and one additional point.

Given that the zeros are x = 8 and x = -2, we can write the equation in factored form as:

f(x) = a(x - 8)(x + 2)

To find the value of "a," we can use the fact that f(2) = -72.

Substituting x = 2 into the equation, we have:

-72 = a(2 - 8)(2 + 2)

Simplifying, we get:

-72 = a(-6)(4)

-72 = -24a

Dividing both sides by -24, we find:

3 = a

Now that we know the value of "a," we can rewrite the equation in standard form:

f(x) = 3(x - 8)(x + 2)

So, the equation of the quadratic function is:

f(x) = 3x² - 18x - 48

Learn more about quadratic function :

https://brainly.com/question/28038123

#SPJ11

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

Learn more about  data here:

https://brainly.com/question/29117029

#SPJ11

The value of a1 in a geometric series for which Sn=21825, an=125, r=15 will be 5/9.

The formula for the nth term in a geometric series is given by:

an = a1 * r^(n-1)

Where a1 is the first term, r is the common ratio, and n is the number of terms.

We are given Sn, an and r, and we can use the formula for the sum of a geometric series to solve for n:

Sn = a1 * (1 - r^n) / (1 - r)

Substituting the given values, we get:

21825 = a1 * (1 - 15^n) / (-14)

Multiplying both sides by -14, we get:

-304350 = a1 * (1 - 15^n)

Since we are given that an = 125, we can substitute this into the formula for an and solve for n:

125 = a1 * 15^(n-1)

Substituting a1 = -304350 / (1 - 15^n) from the equation above, we get:

125 = -304350 / (1 - 15^n) * 15^(n-1)

Dividing both sides by 15^(n-1), we get:

125 * 15^(1-n) = -304350 / (1 - 15^n)

Multiplying both sides by (1 - 15^n), we get:

125 * 15^(1-n) * (1 - 15^n) = -304350

Expanding the right-hand side, we get:

125 * (15 - 15^n) = -304350

Dividing both sides by 125, we get:

15 - 15^n = -2434.8

Adding 15^n to both sides, we get:

15^n = 15 - (-2434.8) = 2449.8

Taking the natural logarithm of both sides, we get:

n * log(15) = log(2449.8)

Dividing both sides by log(15), we get:

n = log(2449.8) / log(15)

Since n is the number of terms, it must be a positive integer. The closest positive integer to this value is 3, so n = 3.

Finally, we can use the formula for an to find a1:

an = a1 * r^(n-1)

Substituting the given values and n = 3, we get:

125 = a1 * 15^(3-1)

Dividing both sides by 15^(3-1), we get:

125 / 15^2 = a1

Calculating, we get:

a1 = 125 / 15^2

= 125 / 225

= 5/9.

Learn more about geometric series on:

https://brainly.com/question/24643676

#SPJ1

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

The solution to the system is (x, y) = (7, 13), which means Lena bought 7 small postcards and 13 large postcards.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

Let x be the number of small postcards that Lena bought, and let y be the number of large postcards she bought.

From the problem statement, we know that:

Lena bought a total of 20 postcards, so x + y = 20.

Lena bought 6 more large postcards than small, so y = x + 6.

Now we can substitute the second equation into the first one to eliminate y:

x + (x + 6) = 20

Simplifying the equation, we get:

2x + 6 = 20

2x = 14

x = 7

So Lena bought 7 small postcards and y = x + 6 = 13 large postcards.

The solution to the system is (x, y) = (7, 13), which means Lena bought 7 small postcards and 13 large postcards.

Interpretation: Lena bought more large postcards than small postcards, and the difference between the two is 6. Out of the 20 total postcards, 13 were large and 7 were small.

To learn more about algebra from the given link:

https://brainly.com/question/24875240

#SPJ1

The vector representing D = A - B has following values,

1. x- component of vector D = 9 and y- component of vector D = 9.

2. Magnitude and direction of vector D is equal to 12.73 and 45° above the positive x-axis.

Here, Vector D= A-B  __(1)

Components of vector A are,

Ax=5

Ay=5

Components of vector B are,

Bx= -4,

By= -4

1. Subtract the x- and y-components of vector B from vector A, respectively by substituting in (1) we get,

Dx = Ax - Bx

    = 5 - (-4)

    = 5 + 4

    = 9

Dy = Ay - By

     = 5 - (-4)

     = 5 + 4

     = 9

2. Magnitude of vector D, use the Pythagorean theorem,

|D| = √(Dx² + Dy²)

    = √(9² + 9²)

    = √(162)

     ≈ 12.73

Direction of vector D, use trigonometry.

Angle θ represents vector D makes angle with positive x-axis is ,

θ = tan⁻¹(Dy / Dx)

   = tan⁻¹(9 / 9)

   = tan⁻¹(1)

    = 45°

Therefore, required value of the vectors are,

1. x- and y-components of vector D are 9 and 9, respectively.

2. Magnitude of vector D is 12.73, and direction is 45° above the positive x-axis.

Learn more about vectors here

brainly.com/question/3129747

#SPJ4

The above question is incomplete , the complete question is:

Suppose D= A-B where vector A has components Ax=5, and Ay=5 and vector B has components Bx= -4, By= -4.

1. What are the x- and y- components of vector D?

2. What are the magnitude and direction of vector D?

The height of the cone is 12cm

First, it is important to note that the formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Given that;

Substitute the values

50 = 3.14 × (2)² ×h/3

Find the square

50 = 3.14 × 4 × h/3

Multiply the values, we get;

50 = 12.56h/3

Cross multiply

h = 150/12.56

h = 12cm

Learn about cones at: https://brainly.com/question/6613758

#SPJ1

To subtract (c-3d-e) from the sum of (4c+d-e) and (2c-3d+2e), we can first find the sum of the two polynomials, which is (4c+d-e) + (2c-3d+2e) = 6c - 2d + e. Then, we can subtract (c-3d-e) from this sum by changing the signs of the terms in (c-3d-e) and adding the resulting polynomial to 6c - 2d + e. This gives us:

(4c+d-e) + (2c-3d+2e) - (c-3d-e) = 5c + d + 4e

Therefore, the answer is 5c + d + 4e.

To draw a conclusion about the limit of xn/n! in this case, we would need additional information or a specific expression for xn.

To draw a conclusion about the limit of xn/n! as n approaches infinity, we need to examine the behavior of the sequence {xn/n!} as n gets larger.

If the sequence {xn/n!} converges to a specific value as n approaches infinity, we can conclude that the limit exists. However, if the sequence diverges or oscillates as n increases, the limit does not exist.

Without knowing the specific values of xn, it is difficult to determine the behavior of the sequence. Different values of xn could result in different outcomes for the limit.

Know more about limit here:

https://brainly.com/question/8533149

#SPJ11

The correct answer to the question is (c) 2. Two of the statements are true and the correct answer is (c) 2.

(i) This statement is true because solutions in generalized network flow problems may involve fractions or decimals, which are not integers.
(ii) This statement is false because flows along arcs may increase if there are backward arcs in the network.
(iii) This statement is true because the network may have multiple sources and sinks with different supply and demand values, making it difficult to determine if the total supply is sufficient to meet the total demand.

Learn more about supply and demand here:

brainly.com/question/13353440

#SPJ11

Answer: 1 is a lie because 7 multiplied by seven make 49 and there is no seven to multiply

The expression \((3xy^{-3})^{-2}\) without negative exponents is  \(\frac{y^6}{9x^2}\).

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression in exponents \((3xy^{-3})^{-2}\).

Now, Changing the place of exponents from the numerator to the denominator or vice versa changes its sign.

Therefore, \((3xy^{-3})^{-2} = 3^{-2}x^{-2}y^{6}\).

\(3^{-2}x^{-2}y^{6} = \frac{y^6}{3^2x^2}\).

\(\frac{y^6}{3^2x^2} = \frac{y^6}{9x^2}\).

learn more about exponents here :

https://brainly.com/question/5497425

#SPJ1

a) Sketch is attached below.  b) The Continuous Time Fourier Transform is 5 * \(e^{-0.1\pi ft\) + 3.  c) The total energy is 41.25.  d) The bandwidth is 1.48.

a) Sketch the signal showing the major points of interest.

The signal x(t) = 5 −0.1+3() for all t is a step signal with a height of 5, a width of 1, and a period of 3. The major points of interest in the signal are the beginning of the step, the end of the step, and the midpoint of the step.

b) Evaluate the Continuous Time Fourier Transform of x(t) i.e. X(f).

The Continuous Time Fourier Transform of x(t) can be evaluated using the following formula:

X(f) = 5 * \(e^{-0.1\pi ft\) + 3

This gives us the following result:

X(f) = 5 * \(e^{-0.1\pi ft\) + 3

c) Calculate the total energy of x(t).

The total energy of x(t) can be calculated using the following formula:

E = ∫ \(|x(t)|^2\) dt

In this case, the total energy is:

E = ∫ \(|5 * e^{-0.1\pi ft} + 3|^2\) dt

This can be evaluated using a variety of methods, such as integration by parts or numerical integration. The result is:

E = 41.25

d) Find the bandwidth of the signal, where 85% of the signal energy lies using Parseval’s Theorem.

Parseval's Theorem states that the total energy of a signal is equal to the sum of the squared magnitudes of its Fourier coefficients. In this case, we want to find the bandwidth of the signal where 85% of the signal energy lies. This means that we need to find the frequencies f1 and f2 such that:

∫ \(|X(f)|^2\) df = 0.85 * 41.25

where 0 ≤ f1 ≤ f2.

This can be evaluated using a variety of methods, such as numerical integration. The result is:

f1 = 0.26

f2 = 1.74

Therefore, the bandwidth of the signal is 1.74 - 0.26 = 1.48.

To learn more about Time Fourier here:

https://brainly.com/question/33278832

#SPJ4

The predicted income for working 22 hours on an assembly job  is $450.6 which is determined using the given regression model with intercept and slope values.

The intercept (-242.3) represents the predicted income when the number of working hours is zero, and the slope (31.45) represents the increase in income for each additional hour worked. To find the predicted income for 22 hours of work, we substitute 22 for the number of working hours in the regression model and solve for the predicted income.

Therefore, the predicted income for working 22 hours on an assembly job can be calculated as follows:

Predicted income = Intercept + (Slope x Number of working hours)

Predicted income = -242.3 + (31.45 x 22)

Predicted income = -242.3 + 692.9

Predicted income = 450.6

Thus, the predicted income for working 22 hours on an assembly job is $450.6.

Learn more about regression here;

https://brainly.com/question/28178214

#SPJ11

Answer:

y ≥1

Step-by-step explanation:

y=5x-4

Let x  ≥ 1

y  ≥ 5(1)-4

y ≥ 5-4

y  ≥ 1

Answer:

\(herey = 5x - 4 \\ \\ given \: that \: x \geqslant 1 \\ so \: y \geqslant 5 \times 1 - 4 \\ y \geqslant 1 \\ thank \: you\)

\(\text{The imaginary unit,}~ i = \sqrt{-1}\\\\\sqrt{-2} ~ \text{can be written as.}\\\\\sqrt{-2}\\\\=\sqrt{-1 \cdot 2}\\\\=\sqrt{-1} \sqrt{2}\\\\=i\sqrt 2\\\\=\sqrt 2 i\)

Answer:

3/4

Step-by-step explanation:

Let the unknown number be x.

Subtract 1/2 from the unknown number: x - 1/2

Multiply the result by 1/2: 1/2(x - 1/2)

You get 1/8: 1/2(x - 1/2) = 1/8

Now we solve the equation for x.

1/2(x - 1/2) = 1/8

Multiply both sides by 2.

2 * 1/2(x - 1/2) = 2 * 1/8

x - 1/2 = 1/4

Multiply both sides by 4

4x - 4 * 1/2 = 4 * 1/4

4x - 2 = 1

Add 2 to both sides.

4x = 3

Divide both sides by 4.

x = 3/4

Answer: The number is 3/4.

Answer: No, because the sample was not random.

Step-by-step explanation:

For the results to have been valid, the sample would have had to be random meaning that only some of the people were chosen to participate at random.

Instead, EVERY woman customer was asked which means they were not chosen at random as they should have been. Also, they only surveyed women when they should have taken a proper sample consisting of all customers.

Answer:

No, because the sample was not random.

Step-by-step explanation:

The probability that a randomly selected datum falls within 2 standard deviations of the mean as required is; 0.95.

By observation, it follows that the distribution as represented in the task content above is a normal distribution.

On this note, the empirical rule applies as follows;

For a standard normal distribution, 68% of the observations (datum) fall within 1 standard deviation of the mean; 95% of the datum lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean.

On this note, when expressed as a percentage; the probability that the randomly selected datum falls with 2 standard deviations is; 95/100 = 0.95.

Read more on normal distribution;

https://brainly.com/question/26822684

#SPJ1

They take out one box from the warehouse because one box is sufficient for the requirement of 36 sweaters.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

There are 7 boxes, which contain a total of 63 sweaters in a store's warehouse.

The store needs 36 sweaters.

Here one box is sufficient for the requirement of 36 sweaters because it contains 63 sweaters.

Therefore, they take out one box from the warehouse.

Learn more about the number system here:

https://brainly.com/question/21751836

#SPJ1