1.) If 500 people were to take this quiz, how many of them would you
expect to pass the quiz? Explain how you made your prediction.

Answers

Answer 1

If the passing percentage is 60%, then we can expect that approximately (60/100) × 500 = 300 people would pass the quiz.

What is Algebraic expressiοn?

Algebraic expressiοn can be defined as cοmbinatiοn οf variables and cοnstants.

Let's assume that the passing percentage οf the quiz is P%. Then, the prοbability οf a randοm persοn passing the quiz is P/100. Therefοre, οut οf 500 peοple, we can expect that apprοximately (P/100) × 500 peοple wοuld pass the quiz.

Fοr example, if the passing percentage is 60%, then we can expect that apprοximately (60/100) × 500 = 300 peοple wοuld pass the quiz.

Therefοre, it is impοrtant tο nοte that this is just a predictiοn based οn prοbability, and the actual number οf peοple whο pass the quiz may vary depending οn variοus factοrs such as the difficulty level οf the quiz, the skills and knοwledge οf the participants, etc.

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Complete question:

If 500 people were to take this quiz, how many of them would you expect to pass the quiz if 60% were the passing rate?

Explain how you made your prediction.


Related Questions

I know that it’s supposed to flip over the y-axis but can someone please give me the points?

I know that its supposed to flip over the y-axis but can someone please give me the points?

Answers

Answer:

Step-by-step explanation:

There are 3 critical points. Place them on the graph and go down (using a ruler and pencil).

-7, -5 trans forms into 7, -5

-4, -2 transforms into 4,-2

4, -4 transforms into -4, -4

Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola’s purchase?

Answers

Answer:

Graph C is the answer.

Step-by-step explanation:

Lola bought X pencils that cost $0.25 and Y erasers that cost $0.50.

Total expenditure is less than $3.

If we represent expense in the equation form then it will be

Expense on pencils + expense on erasers = Total expense which is < 3

0.25X + 0.50Y < 3

Now we divide the inequality by 0.25

X + 2Y < 12

This inequality when graphed, line will be plotted in dots and area below the line will be in the shaded form.

Slope of this line is = (-1/2) {from the standard equation of line y = mx + c)

Now we come to the graphs. Here dotted line graphs are A or C.

We will calculate the slopes of the lines from the graphs A and C to get tha answer.

For Graph A

The end points are (12, 0) and (0, 3)

So slope = (y-y')/(x-x') = (3-0)/(0-12) = -3/12 = -1/4

For Graph C.

End points the line are (0, 6) and (12, 0)

Slope of the line = (0-6)/(12-0) = -6/12 = -1/2

Therefore Graph C is the answer.

Answer:

Graph C is the answer.

Step-by-step explanation:

Lola bought X pencils that cost $0.25 and Y erasers that cost $0.50.

Total expenditure is less than $3.

If we represent expense in the equation form then it will be

Expense on pencils + expense on erasers = Total expense which is < 3

0.25X + 0.50Y < 3

Now we divide the inequality by 0.25

X + 2Y < 12

This inequality when graphed, line will be plotted in dots and area below the line will be in the shaded form.

Slope of this line is = (-1/2) {from the standard equation of line y = mx + c)

Now we come to the graphs. Here dotted line graphs are A or C.

We will calculate the slopes of the lines from the graphs A and C to get tha answer.

For Graph A

The end points are (12, 0) and (0, 3)

So slope = (y-y')/(x-x') = (3-0)/(0-12) = -3/12 = -1/4

For Graph C.

End points the line are (0, 6) and (12, 0)

Slope of the line = (0-6)/(12-0) = -6/12 = -1/2

Therefore Graph C is the answer.

Step-by-step explanation:

make brainiest please

can someone help me solve for x & explain how they got it please?? i have a test tomorrow!!

can someone help me solve for x &amp; explain how they got it please?? i have a test tomorrow!!

Answers

Answer:

36=x^2+5x

x^2+5x-36=0

(x+9)(x-4)

x= 4

x= -9

The Answer can be 4 or -9, see which option you have.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Usually what I do is sort of a guess and check, and this should be easy if your square roots memorized

First you know that x^2+5x is equaled to 36 because both sides of the triangle has a tick

I look at x squared first. You know the value for X has to be less than six because 6 squared is already 36.

Then I start plugging in values under 6 like 5, 4, 3 ex

When you plug in 5 you get 50, so we know we have to choose a lower value

When plugging in 4 you get 36

4 squared is 16, 5 x 4 = 20, 20+16 = 36

Find the value of y.

Find the value of y.

Answers

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Human hair grows an average of 0.7 cm in 2 weeks. How much does it grow in 52 weeks? Round to the nearest tenth

Answers

Answer:

18.2 cm

Step-by-step explanation:

Help please I need it as soon as possible ​

Help please I need it as soon as possible

Answers

Answer:

y=1/2+3

Step-by-step explanation:

For the first one, 0 and 3. 0/2 is not possible so we just add 3.

Second, 1/2 is 0.5 of 1/2. Plus 3 is 3 1/2.

Third, 2/2 = 1 + 3 = 4.

And last, 3/2 = 1.5 or 1 1/2. 1 1/2 + 3 is 4 1/2

--

Hope this helps!

Help me please i beg u

Help me please i beg u

Answers

Answer:

ok first answer for how much would 4 6 packs of juice would be $14.4 then second is how much would 8 pack of 6 cranberry juice would be $28

8 and last the answer is 3.6

Answer:

4 6 packs would cost 14.4

8 6 packs would cost 28.8

one can would cost 0.6 dollars, or 60 cents.

Step-by-step explanation:

Coach Maxwants the track team to run 2 miles for practice next week. How many times will the team run the route shown?

Answers

Answer: The team will need to run the route 0.15 miles / 2 miles = 7.5 times to cover a total distance of 2 miles.

Step-by-step explanation:

First, we need to convert the yard measurements to miles to make them consistent with the target distance of 2 miles. We can use the conversion factor 1 mile = 1760 yards.

48 yards = 48/1760 miles

80 yards = 80/1760 miles

46 yards = 46/1760 miles

92 yards = 92/1760 miles

Next, we can add up the distances on each side of the route to find the total distance covered by the track team.

Top: 48 yards + 80 yards = 128 yards = 128/1760 miles

Middle: 46 yards + 92 yards = 138 yards = 138/1760 miles

Finally, we can add up the top and middle distances to find the total distance covered by the track team.

128 yards + 138 yards = 266 yards = 266/1760 miles = 0.15 miles

So, the team will need to run the route 0.15 miles / 2 miles = 7.5 times to cover a total distance of 2 miles.

Can someone help me plzzzz with this math question!!!!!! “Buy one, get one free” special at T-Mobile for an iPhone 12. The cost is $1150. Calculate what you are actually paying for each item since you are getting two for one price. What is the sale price of each phone?

Answers

Answer:

$575

Step-by-step explanation

1150/2 = 575

Answer:

$1150

Step-by-step explanation:

because it is a buy one (for sale price), get one free

find the exact value of each of the remaining trigonometric functions of 0. rationalize denominators when applicable.
sin 0 = v3/6 given that cos 0 = 0

Answers

Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).

sin^2(0) + cos^2(0) = 1

sin^2(0) = 1 - cos^2(0)

sin^2(0) = 1 - 0^2

sin^2(0) = 1

So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.

However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.

trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.

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The first shelf on Hannah’s bookshelf hoods an equal number of fiction and nonfiction. If Hannah’s selects 5 books randomly, what is the probability that 3 of the books will be fiction and 2 will be nonfiction

Answers

Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Which data set could be represented by the box plot shown below? A horizontal boxplot is plotted along a horizontal axis marked from 10 to 26, in increments of 1. A left whisker extends from 12 to 15. The box extends from 15 to 21 and is divided into 2 parts by a vertical line segment at 19. The right whisker extends from 21 to 24. All values estimated. Choose 1 answer: Choose 1 answer: (Choice A) 13 1313, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 A 13 1313, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 (Choice B) 12 1212, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 B 12 1212, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 (Choice C) 12 1212, 15 1515, 15 1515, 17 1717, 20 2020, 20 2020, 20 2020, 22 2222, 24 2424 C 12 1212, 15 1515, 15 1515, 17 1717, 20 2020, 20 2020, 20 2020, 22 2222, 24 2424 (Choice D) 12 1212, 15 1515, 17 1717, 17 1717, 19 1919, 19 1919, 22 2222, 22 2222, 24 2424 D 12 1212, 15 1515, 17 1717, 17 1717, 19 1919, 19 1919, 22 2222, 22 2222, 24 2424

Which data set could be represented by the box plot shown below? A horizontal boxplot is plotted along

Answers

The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

What is box plot?

A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.

Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).

From the given box plot we observe that the minimum value is 12 and the maximum value is 24.

Here, the median is 19.

From the information the two data set that have the corresponding values are:

12, 15, 15, 17, 19, 19, 20, 22, 24

12, 15, 17, 17, 19, 19, 22, 22, 24

The lower quartile is 15.

The upper quartile is 21.

Calculating the lower quartile for the data sets:

12, 15, 15, 17, 19, 19, 20, 22, 24

Lower quartile = 15

Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

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The right triangle on the right is a scaled copy of the right triangle on the lef
Identify the scale factor. Express your answer as a whole number or fraction
in simplest form.
10
10
20
20

The right triangle on the right is a scaled copy of the right triangle on the lefIdentify the scale factor.

Answers

scalar factor= 2, in order to find the scalar factor between two triangle  we need to get the ratio between any of thier side of both the triangle on same side

what is scalar factor?

In mathematics, a scalar factor is a numerical value that scales or stretches a vector or a matrix by a certain factor. In other words, a scalar factor is a constant that is multiplied to a given vector or matrix to change its size or magnitude.

In the given question,

In mathematics, a scalar factor is a numerical value that scales or stretches a vector or a matrix by a certain factor. In other words, a scalar factor is a constant that is multiplied to a given vector or matrix to change its size or magnitude.

For instance, if we have a vector v = (x, y, z), then multiplying it by a scalar factor k will result in a new vector kv = (kx, ky, kz), which is stretched or shrunk according to the value of k. Similarly, if we have a matrix A, multiplying it by a scalar factor k will result in a new matrix kA, where each element of A is multiplied by k.

in order to find the scalar factor between two triangle  we need to get the ratio between any of thier side of both the triangle on same side

scalar factor= opposite side of bigger triangle / opposite side of smaller triangle

scalar factor= 20/10

scalar factor= 2

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Marco has $38.43 dollars in his checking account. His checking account is linked to his amazon music account so he can buy music. The songs he purchases cost $1.29. Part 1- write an algebraic expression to describe the amount of money in his checking account in relationship to the number of songs he purchased. Part 2- Describe what the variable represents in the situation

Answers

38.43 - 1.29x

variable x represents the number of songs purchased

A pack of red pens can be divided into equal shares among 3, 5, 6 and 9 teachers with no pen left over?

Answers

Answer:

90 red pens

Step-by-step explanation:

we need to find the least common multiple of the numbers 3 , 5 , 6 , 9

6 = 2 × 3

9 = 3²

then

LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90

The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder

Therefore the pack must have 90 pens or a multiple of 90

For example 180 , 270 ...

In a survey of 3100 people who owned a certain type of​ car, 1240 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

40% of people would buy the car again.

Hope this helps!

Step-by-step explanation:

i need help with 7th grade math please need help ASAP

i need help with 7th grade math please need help ASAP

Answers

Answer:

161.5 cm²

Step-by-step explanation:

Finding the remaining area :

Area (rectangle) - Area (2 equal semicircles)Area (rectangle) - Area (circle) [Because 2 equal semicircles form a circle of the same radius]24 × 10 - 3.14 x 25240 - 78.5161.5 cm²

Answer:

Step-by-step explanation:

Solve for Area of the Rectangle Then subtract it with the Circle

Of students in the AP curriculum at a prep school, 40% take one AP exam, 45% take two AP exams, and the remaining 15% take 3 AP exams. The highly desirable score of 5 is hard to earn, and only 20% of these students will earn a 5 on any given exam they take. Assuming their results on each exam are independent, what is the probability a student in the AP curriculum will earn at least one 5

Answers

It should be noted that the probability that a student will earn at least one 5 will be 0.3152.

How to calculate the probability

Test P(x). P(at least one 5)

1. 0.4. 0.2

2. 0.45. 0.36

3. 0.15. 0.488

Therefore, the probability that a student in the AP curriculum will earn at least one 5 will be:

= (0.4 × 0.2) + (0.45 × 0.36) + (0.15 × 0.488)

= 0.3152

In conclusion, the correct option is 0.3152.

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The number of pizzas a restaurant can make varies directly with the amount of time the restaurant is open.

The number of pizzas a restaurant can make varies directly with the amount of time the restaurant is

Answers

The two correct options for time and work problem are: (a) and (d)

(a) The restaurant can make 24 pizzas in 5 hours

(d) The restaurant can make 48 pizzas in 10 hours

What is time and work in mathematics?

Time and work are fundamental to how work is done at the moment. The time and work problem gives us the exact relationship between workers and the number of days and hours it takes to complete a task. 

Solution according to the question:

Given, the restaurant can make 12 pizzas in 2.5 hours

So, when we double the time of work, the number of pizzas will also be doubled, i.e

24(12×2) pizzas in 5(2.5 ×2), hence option (a) correct.

Also, 10 hours is four times of 2.5 hours.

Thus, in 10 hours the restaurant will make 48 pizzas, so option (d) is the other correct option.

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25 big bucks for whoever helps with this help

25 big bucks for whoever helps with this help

Answers

Answer:

the answer is C.because it is a suitable combination for the question

HELP PLEASE If 2x−y = 0 and x−2y=3, then 6x−6y =
(A) 6
(B) 12
(C) 18
(D) 21
(E) 24

Answers

Answer:

A) 6

Step-by-step explanation:

Explain the meaning of the term floor plan in this context​

Answers

floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

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Explain the meaning of the term floor plan in this context

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.

What was the percent of error, rounded to the nearest percent?

15%

20%

25%

30%

Answers

I have to say 25% because 25% of 600 is 150. 600+150=750. So I hope this help!!!

The solution is, the percent of error, rounded to the nearest percent is 25%.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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Solve for x to make A||B

Solve for x to make A||B

Answers

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

what is the volume of the cube shown?

Answers

The volume of the cube shown can be found to be 132. 65 inch ³ .

How to find the volume of a cube ?

To ascertain the volume of a cube , knowledge of one edge's length is mandatory . This side would correspond to all other sides; therefore , multiplying it by three inversely gauges its complete space as a cubic structure.

The formula for the volume of a cube is:

= Side x Side x Side

The side is 5. 1 inch so the volume is:

= 5. 1 x 5 .1  x 5. 1

= 132. 65 inch ³

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what is the volume of the cube shown?

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write with fractional exponents. (Do not use parentheses.)

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down,

Answers

Answer:

4\(y^{\frac{3}{2} }\)

Step-by-step explanation:

using the rule of exponents/ radicals

\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)

then

4 \(\sqrt{y^{3} }\)

= 4\(y^{\frac{3}{2} }\)

4(x-1)-2x<6-5(x+2) so love and graph the inequality

Answers

The vertical line at x=0 represents the boundary of the inequality, and the shaded region to the left of the line represents the solution set of the inequality, x < 0.

Explain the term inequality

Inequality refers to the unequal distribution of resources, opportunities, and rewards among individuals or groups within a society. It can be based on factors such as race, gender, income, education, and social status, leading to disparities in outcomes and experiences.

According to the given information

Start by simplifying the inequality using the distributive property and combining like terms:

4(x-1) - 2x < 6 - 5(x+2)

4x - 4 - 2x < 6 - 5x - 10

2x - 4 < -5x - 4

2x + 5x < 4 - 4

7x < 0

x < 0

So the solution to the inequality is x < 0.

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4(x-1)-2x&lt;6-5(x+2) so love and graph the inequality

which point represents the ordered pair (-4 1/2,-1)

Answers

The ordered pair (-4 1/2, -1) can be represented by point P, which is located on a two-dimensional Cartesian coordinate system.

What is Cartesian coordinate system?

The Cartesian coordinate system is a system of two-dimensional coordinates used to identify the position of a point, line, or shape. It is based on a two-dimensional grid that is composed of two perpendicular lines, called the x-axis and the y-axis. The origin (0,0) is the point where the two axes intersect.

The ordered pair contains two numbers, which are the x-coordinate and the y-coordinate respectively. The x-coordinate of the point P is -4 1/2 and the y-coordinate is -1. This means the point P is located 4 1/2 units to the left of the y-axis and 1 unit below the x-axis.

The ordered pair (-4 1/2, -1) can be represented by the point P which is located 4 1/2 units to the left of the y-axis and 1 unit below the x-axis.

The x-coordinate of the point P is -4 1/2 and the y-coordinate is -1. This means the point P is located 4 1/2 units to the left of the y-axis and 1 unit below the x-axis.

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A rectangle with a perimeter of 40 inches has a width that is 3 times the length. What is the length And the width

Answers

The Length is 5 inches and the Breadth is 15 inches

What is Perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.

Solution:

Perimeter of Rectangle = 2*(Length + Breadth)

According to the question

Breadth = 3*Length

Perimeter = 40

40 = 2*(Length + 3*Length)

20 = 4*Length

Length = 5 inch

Breadth = 15 inch

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The table represents a linear function. A two column table with six rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2. The second column, y, has the entries, negative 8, 2, negative 4, negative 10, negative 16. What is the slope of the function? –6 –4 4 6

Answers

The slope of a linear function is the rate of change of the y-values, relative to the x-values.

The slope of the function is: -6

We have:

\(\left[\begin{array}{cc}x&y\\-2&8\\-1&2\\0&-4\\1&-10\\2&-16\end{array}\right]\)

The slope (m) is calculated as:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

So, we have:

\(m = \frac{2 - 8}{-1 -(-2)}\)

\(m = \frac{- 6}{1}\)

\(m = -6\)

Hence, the slope of the function is: -6

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Answer: -6

Step-by-step explanation: 100% on edge 2021

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A customer wants to buy 0.3 pounds of mulch that cost $7.30 per pound. if the customer has a coupon for $0.50 off the total cost, how much will they pay for the mulch? I need help QUICK please! Does air in the eye of the hurricane ascend or descend?. difference between volume and time. F(x) = 3x^3 - 2x^2 - 11x + 10; (x + 2)I need to factor and find the zeros. Question 4 Marks: 1 Funding for the collection, storage, and disposal of household hazardous waste always comes directly from the individuals who generate the waste.Choose one answer. a. True b. False Unexpected expense.In a random sample of 789 adults in the United States,341 say they could not cover a S400 unexpected expense without borrowing money or ... A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is "yellow (Y)," which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5625, 0. 375, 0. 625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 75, 0. 25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 375, 0. 125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 25, 0. 25. How much oxygen (O) is in 5.41 106 atoms of oxygen Explain one of the benefits of a federalist structure Which values for A and B will create infiniely many solutions for this system of equations Consider a variation of the Taylor rule: rt = (0.25) rt T AY LOR + (0.75)rt1, where r is the real interest rate in a quarter, rt T AY LOR t is the interest rate implied by the Taylor rule, and rt1 is the interest rate in the previous quarter. Call this rule TR-S. If rt1 = 3 percent and the Taylor rule indicates that the central bank should set rt T AY LOR t to 4 percent, then the TR-S rule dictates that r should be. The spinner shown is divided into congruent sections that are labeled from 1 through 7. If the spinner is spun one time, what is the probability of the arrow NOT landing on a section labeled with an even number? the reciprocal allocation method: group of answer choices fully incorporates interdepartmental relationships into the support-department cost allocations allocates support-department costs to other support departments and to operating departments in a sequential manner that partially recognizes the mutual services provided among all support departments is the most widely used because of its simplicity requires the ranking of support departments in the order that the allocation is to proceed Exercise #4: "Sources of Happiness"Part III: After reading "Outlining instructions for Position Paper," construct an outline that includes your grounds/reasons/opinions (not Cutler's) why you agree or disagree that happiness is determined by the state of mind versus external circumstance. Examples of grounds are included in this document.1. Your position/thesis (indication if you agree or disagree with SOH). Our state of mind is the single most important factor in determining our happiness.2. Ground #1 (this should be one fact-based sentence):3. Ground #2 (one fact-based sentence): 4. Ground #3 (one fact-based sentence): Consumer demand is defined as how frequently the prices change. the willingness and ability people have to buy a good. how frequently the people are willing pay for something. how often people want something delivered. refer to the above table. suppose the price of a hamburger is $2, the price of a movie is $5, and the income of the consumer is $29. how many hamburgers and movies will this consumer buy to be at an optimum? group of answer choices 4 hamburgers and 4 movies. 2 hamburgers and 5 movies. 6 hamburgers and 3 movies. 1 hamburger and 5 movies. as a customer entered the hornady store, which sells muzzleloading rifles, a salesperson approached her and said, "hornady lead round balls are the musket balls you ought to buy. they are the most uniform in size and shape, and they are made of pure lead. our shot is used by the muzzle loading world champion." the salesperson was describing hornadys in the bag, there are certain number of toy- blocks with alphabets A,B,C and D written on them. The ratio of blocks A:B:C:D is 4:7:3:1. if the number of A blocks is 50 more than the number of C blocks, what is the number of B blocks? Question 4A specific trait for a show dog is an example ofO A) natural selectionO B) selective breedingC) behavioral adaptationo D) physical adaptation