A hopper contains 20 ping-pong balls. There are 6 red, 4 white, 3 green, 2 yellow,
and 5 blue ping-pong balls. Rounded to the nearest thousandth, what is the
probability of drawing a red ball then a blue ball without replacement?
.079
.075
.090
.045

The fifth roots of the complex number 3 + j3 can be expressed in polar form and exponential form. In polar form, the fifth roots are given by r^(1/5) * cis(theta/5),

To find the fifth roots of 3 + j3, we first convert the complex number into polar form. The magnitude r is calculated as the square root of the sum of the squares of the real and imaginary parts, which in this case is sqrt(3^2 + 3^2) = sqrt(18) = 3sqrt(2). The angle theta can be determined using the arctan function, giving us theta = arctan(3/3) = pi/4.

Next, we express the fifth roots in polar form. Each root can be represented as r^(1/5) * cis(theta/5), where cis denotes the cosine + j sine function. Since we are finding the fifth roots, we divide the angle theta by 5.

In exponential form, the fifth roots are given by r^(1/5) * exp(j(theta/5)), where exp denotes the exponential function.

Calculating the values, we have the fifth roots in polar form as 3sqrt(2)^(1/5) * cis(pi/20), 3sqrt(2)^(1/5) * cis(9pi/20), 3sqrt(2)^(1/5) * cis(17pi/20), 3sqrt(2)^(1/5) * cis(25pi/20), and 3sqrt(2)^(1/5) * cis(33pi/20).

In exponential form, the fifth roots are 3sqrt(2)^(1/5) * exp(j(pi/20)), 3sqrt(2)^(1/5) * exp(j(9pi/20)), 3sqrt(2)^(1/5) * exp(j(17pi/20)), 3sqrt(2)^(1/5) * exp(j(25pi/20)), and 3sqrt(2)^(1/5) * exp(j(33pi/20))

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The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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Answer:

VX

Step-by-step explanation:

V=5

X=10

We cannot write 5 before 10

Answer: It would be on the first quadrant plane or I quadrant

Step-by-step explanation: first the x 0 so you do nothing then y says go up 2 so you do and you end up in the first quadrant place hope this helps

a. The categorical qualitative variables from the ones listed above are:

- MarketSize (small, medium, or large market)

- PromotionType (Promotion 1, 2, or 3)

- WeekNumber (Week 1, 2, 3, 4)

b. The numerical (quantitative) variables from the ones listed above are:

- Sales (in $1000)

- AgeOfStore (in years)

c. The level of measurement for each variable is as follows:

- MarketSize: Nominal level of measurement. The categories (small, medium, large) are mutually exclusive and there is no inherent order or numeric value associated with them.

- PromotionType: Nominal level of measurement. The promotions (Promotion 1, 2, 3) are distinct categories with no inherent order or numeric value.

- WeekNumber: Ordinal level of measurement. The weeks (Week 1, 2, 3, 4) have a natural order but the differences between them are not necessarily equal.

- Sales: Ratio level of measurement. The variable represents the actual sales in dollars, which has a meaningful zero point and allows for meaningful ratios and calculations.

- AgeOfStore: Ratio level of measurement. The variable represents the age of the store in years, which has a meaningful zero point and allows for meaningful ratios and calculations.

Understanding the level of measurement of variables is important for selecting appropriate statistical methods and understanding the nature of the data. In this case, we have identified the categorical qualitative variables (MarketSize, PromotionType, WeekNumber) and the numerical (quantitative) variables (Sales, AgeOfStore) and determined their respective levels of measurement.

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Step-by-step explanation:

Given that he dimension is

9 1/2 inches wide

and 14 inches wide.

half way from 9.5 inches is

4.75in

half way from 14 inches is

7in

Therefore he put the picture at 4.75in from the top and 7in from the sides

Full question :

Nthe first round of a card game, niki scored 20 points. then, she lost 10 points on one turn and an additional 25 points on her final turn. part a choose the number line that shows the change in niki’s score.

a. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to -20, 2nd from -20 to -10 and 3rd from -10 to 15.

b. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 20 to 0, 2nd from 0 to -10 and 3rd from -10 to 15.

c. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to -5 and 3rd from -5 to 5.

d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.

part b what is niki’s final score? enter your answer in the box. points

Answer:

d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.

Step-by-step explanation:

The number line given run from -20 to +20 and so we record Niki's losses and wins using the negative numbers and positive numbers respectively. If Niki wins(scores 20 points) we add, that is a positive number on the number line. If Niki loses(loses 10 and 25 points) we subtract from her positive number using the negative values(points missed) on the number line. If we do this, Niki's value on the number line ends up at -15

To get Niki's final score, we calculate hence

+20-10-25 = -15 points

we have that

Let

y ----> total charge

x ----> number of hours

so

First-rate

y=65x+400 ------> equation 1

Second rate

y=95x+100 ------> equation 2

Equate equation 1 and equation 2

65x+400=95x+100

solve for x

95x-65x=400-100

30x=300

x=10 hours

therefore

the answer is

Answer:

17/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Neither of the ordered pairs is a solution of the equation 6x + 3y = 15.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given linear equation is 6x + 3y = 15

Substitute each of the point given in the options.

A : (3, -2)

6x + 3y = (6 × 3) + (3 × -2) = 18 - 6 = 12 ≠ 15

B : (2, 2)

6x + 3y = (6 × 2) + (3 × 2) = 12 + 6 = 18 ≠ 15

Neither (3, -2) nor (2, 2) are the solutions of the equation.

Hence neither is the solution of the given linear equation.

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When measuring height, it is necessary to represent both the vertical position and the separation between the minimum and maximum place or location. Rachel is 5 feet 6 inches tall, the tall is her cousin exists 2 feet 9 inches.

In math, tall can be defined as the vertical distance from the top to the base of the object. Tall is the distance between an object's highest and lowest points.

The measurement of an object's height from the base to the top is known as tall. It is sometimes referred to as altitude in geometry. The vertical distance between the lowest and highest point is measured. In coordinate geometry, it is often the measurement along the y-axis of an object.

Rachel/Cousin = Rachel's shadow / Cousin's shadow

5 feet 6/x = 2/1

simplifying the above equation, we get

5ft 6 = 2x

x = 5ft 6/2

x = 66in/2

x = 33 in

x = 2ft 9inch

Therefore, the value of x = 2ft 9inch.

Rachel is 5 feet 6 inches tall, the tall is her cousin exists 2ft 9inch.

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Solution

The intercept is only on y axis (0,-5)

The vertex (-1, -2)

The axis of symmetry is x = -1

The Domain is all real numbers

The range is

Answer:

\(f=14\)

Step-by-step explanation:

Therefore, a student has 756 different options for fulfilling the requirements by taking one course from each group.

To calculate the number of different options for fulfilling the requirements, we need to multiply the number of choices from each group.

Number of choices from the health group = 6

Number of choices from the civics group = 7

Number of choices from the critical thinking group = 9

Number of choices from the elective group = 2

To calculate the total number of options, we multiply these numbers together:

Total number of options = 6 * 7 * 9 * 2

= 756

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Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Answer:

160% (25)

160/100 (25)

reduce the numbers with greatest common divisor 25

160/4

reduce the fraction with 4

=40

The given statement "the probability of an earth-impacting asteroid causing a person's death" is empirical probability, which is based on observations and data.

Empirical probability, also known as experimental probability, is based on observations or data. It involves collecting data through repeated trials of an experiment and calculating the probability of an event based on the frequency of its occurrence.

Subjective probability, also known as personal probability, is based on personal judgment or belief. It reflects an individual's degree of belief in the likelihood of an event occurring, based on their own knowledge and experience.

Now, let's classify the statement in the prompt. The statement is "the probability of an earth-impacting asteroid causing a person's death is." We can see that the statement does not specify which type of probability is being used.

In conclusion, probability is a crucial concept in mathematics and science, and there are different types of probability, including classical, empirical, and subjective probability.

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He can invite 7 friends.Because he had $40. He will spent for each person $5.25.

In mathematics, a relationship between two expression that are not equal to each other is called inequality.The word inequality mean not being equal ,especially in status, rights and opportunities.

A statement is a declarative statement that is true or false but both not.A statement is also called proposition.It may contain symbols and  words.

he has total money = $40

 cost of burger        =$4.50

 cost of soda           =$0.75

 Let, he will spend for each person

 4.50+0.75=$5.25

so, he can invite=40/5.25

                          =7.619

he can invite 7 friends.

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Answer:

24

Step-by-step explanation:

5+5+7+7

Answer:

24 feet

Step-by-step explanation:

7 times 2 is 14

5 times 2 is 12

14 plus 12 is 24

Answer:217

Step-by-step explanation:

220-3=217

Step-by-step explanation:

My guess is that this is a ratio problem but it was copied incorrectly. If we were to solve it like this though, we could simply subtract the 3 girls from the total student count of 220, and assuming that the rest of the students are boys, we would get an answer of 217. Those poor 3 girls...

Answer:

12+3

Step-by-step explanation:

12+6÷2

6÷2=3

12+3

pemdas

Answer:

15

Step-by-step explanation:

Start by dividing 6÷2 which is 3

Then add 3 by 12 which gives you 15

Answer:

First, use the table above to start putting the answers into your memory. Then use the Math Trainer - Multiplication to train your memory, it is specially designed to help you memorize the tables. Use it a few times a day for about 5 minutes each, and you will learn your tables.

Answer:

Well I learned the tables when I was 5 or 6 years old.

Step-by-step explanation:

My mum checked me regularly.

I remember that green sheet with numbers...

Train your memory and tell your brain that you CAN do it...

The main thing is, don't give up!

Answer:

3/2

Step-by-step explanation:

To find the slope of a line you can use the equation y2-y1/x2-x1

So, -3+9/8-4

6/4=3/2

Step-by-step explanation:

m= y²-y¹/x²-x¹

=(-3)-(-9)/8-4

=6/4

=3/2 or1.5

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Morty most likely has an external locus of control according to expectancy theory, which suggests that he believes outcomes are determined by external factors and not within his control.

Expectancy theory is a psychological framework that examines individuals' motivation and decision-making processes. It posits that people's motivation to exert effort is influenced by three key factors: expectancy, instrumentality, and valence.

Locus of control is an important concept within expectancy theory and refers to individuals' beliefs about the degree to which they have control over the outcomes in their lives.

In Morty's case, his belief that promotions are completely random and beyond his control indicates an external locus of control.

He perceives promotions as being determined by external factors such as luck or favoritism, rather than his own efforts or abilities.

This belief diminishes his motivation to try hard at work because he does not see a direct link between his performance and the desired outcome of promotion.

Individuals with an external locus of control tend to attribute outcomes to external forces, such as luck or fate, rather than their own actions.

They may feel powerless and have lower motivation to actively pursue their goals or exert effort to achieve desired outcomes.

In Morty's case, his perception that promotions are random suggests that he lacks the belief that his efforts will directly influence his chances of promotion, leading to reduced motivation and a lack of effort in his work.

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Answer: A, C

Step-by-step explanation:

a) True since this is when the graph intersects the x axis.

b) False, this is a minimum, not a maximum.

c) True, this is tue turning point.

d) False, the axis of symmetry is x=-3, not y=-4.

All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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The expressions that are differences of perfect cubes from the options given are:

c. 216a⁶ - 27y³

d. 8a¹⁵ - 27

A perfect cube can be described as a number that is gotten when an integer is multiplied by itself three times.

216a⁶ - 27y³ is a difference of perfect cubes because: (6a²)³ - (3y)³.

So also is the expression, 8a¹⁵ - 27.

The difference of perfect cubes are:

c. 216a⁶ - 27y³

d. 8a¹⁵ - 27

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Answer:

C 216a6 - 27y3

D 216a6 - 27y3

Step-by-step explanation:

I took the test on edge. :)