Answer:
8units
Step-by-step explanation:
If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)
For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)
Using the distance formula;
D = √(x₂-x₁)²+(y₂-y₁)²
D = √(-8.5+8.5)²)²+(-4-4)²
D =√(-8)²
D = √64
D = 8
Hence the required distance is 8units
help me pleaseee xxoxo
Answer:
4cube×acube×b power 6
sorry if you don't understand
A DVD has a diameter of 14 centimeters. What is the area of the DVD? Round your answer to the nearest
hundredth. Use 3.14 for it.
The area of the DVD is about
1 cm?
Erin wants to raise her math grade to a 95 to improve her chances of winning a math scholarship. Her math average for
the last marking period was an 81. Erin decides she must raise her math average by 15% to meet her goal. Do you
agree? Why or why not? Support your written by writing out your work. plz help 50 point
Answer:
There's a very simple way to solve this kind of problem. All we have to do is change the percent to a decimal and multiply it by her current grade.
81 × .15 = 12.15
For our purposes, we'll just round it down to 12. But anyway, raising her grade by 15% would mean raising it by 12 points.
81 + 12 = 93
This would give her an average of 93, not 95. She'd need to raise her grade 18% from 81 to get to her goal.
look above
jana has a two-week work schedule. during week one, she works from 8 to 5, or nine hours a day. during week two, she works monday through thursday from 8 to 4:45, or 8.75 hours a day. she does not work at all the friday of week two. jana's work schedule is known as a(n)
Jana's sole day off from work is Friday of the second week. According to the Fair Labor Standards Act, Jana is entitled to overtime pay because she works more than 40 hours per week.
What is the Fair Labor Standards Act of 1938?A minimum wage and "time-and-a-half" overtime pay are guaranteed under the Fair Labor Standards Act of 1938, 29 U.S.C. 203 (FLSA), a piece of labor legislation in the United States.
Additionally, it forbids using children for "oppressive child labor."
Jana, for instance, has a two-week timetable.
She puts in nine hours a day, or 8 to 5, throughout the first week of work. She works 8.75 hours per day, Monday through Thursday, from 8 to 4:45 during the second workweek.
The second week's Friday is her only day off from work. Because Jana works more than 40 hours each week, she is entitled to overtime pay under the Fair Labor Standards Act.
Therefore, Jana's sole day off from work is Friday of the second week. According to the Fair Labor Standards Act, Jana is entitled to overtime pay because she works more than 40 hours per week.
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Correct question:
Jana has a two-week work schedule. During week one, she works from 8 to 5, or nine hours a day. During week two, she works Monday through Thursday from 8 to 4:45, or 8.75 hours a day. She does not work at all the Friday of week two. The Fair Labor Standards Act requires that Jana be paid overtime:
If about 300 words per page are in a printed book, about how many pages would be in a printed book of the silmarillion?
the silmarrion book has 130,115 pages
The Silmarillion has 130,115 words, so if about 300 words fit on a page, it would take about 433 pages to print. However, the actual number of pages would be slightly more.
The Silmarillion is a collection of J.R.R. Tolkien's mythology for Middle-earth, and it contains a vast amount of detail. The book has 130,115 words, which is a lot of text to fit on a page. If about 300 words fit on a page, then the Silmarillion would take about 433 pages to print. However, some pages would need to be longer to accommodate longer lines of text. For example, the page with the Elvish names would need to be much longer than the average page. So, the actual number of pages in a printed book of The Silmarillion would be slightly more than 433.
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Can someone help me solve this?!
Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?
Answer:
960 ounces in 1 day
(Sorry for a late response, I just logged on)
Step-by-step explanation:
Most of that information is negligable (not important) besides 8 ounces in 12 minutes.
so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get
40 ounces in 1 hour
a day is 24 hours, so if we multiply both sides by 24 well get our answer
960 ounces a day
-- Gage Millar, Algebra 1/2 tutor
Answer:
960 ounces
Step-by-step explanation:
First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:
8/12 = x/60
And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.
a couple has two children. what is the probability that both are girls if the older of two is a girl?
Answer: The probability is 50%.
Step-by-step explanation: The probability that both are girls if the older child is a girl can be calculated through probability. First, we know that there are two genders the child can be, male or female. When we have 2 possible outcomes, the probability of each outcome is 50%. We know the first child is a girl, and that the second child has a 50% chance of being a girl, so the probability is 50%.
A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar random. What is the theoretical probability of picking a green or yellow marble?Answers: A.20%B.25%C.55%D.75%
Recall that to find the theoretical probability we use the following expression:
\(\frac{\text{favorable cases}}{total\text{ cases}}.\)Since the jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles, then the jar contains 20+55+25=100 marbles. Therefore, the theoretical probability of picking a green or a yellow marble is:
\(\frac{20+55}{100}=\frac{75}{100}=0.75.\)The above decimal number written as a percentage is 75%.
Answer: Option D.
Which of the following inequalities is correct?
Answer:
A
Step-by-step explanation:
I think a cuz b=1 and c=7 and if c and b were negative -1>-7 which is correct
Working of square root of 77
Answer:
it's a rational number and perfect square and decimal form is 8.77
PLSSS HELP 20 POINTS!!!!!!
Answer:
1/4xy(x^2+3y)
Step-by-step explanation:
oh ok last one was missing that y thx for reposting
Having a cumulative frequency of 12 (cf = 12) for a test score of 72 means that a. 72 people scored at or below a 12 on the test b. 72% of people scored at or below a 12 on the test c. 12 people scored at or below a 72 on the test d. 12% of people scored at or below a 72 on the test
The correct answer is option c, means that 12 people scored at or below a score of 72 on the test having a cumulative frequency of 12.
Cumulative frequency refers to the total number of observations or individuals that fall at or below a certain value in a dataset. In this case, a cumulative frequency of 12 (cf = 12) for a test score of 72 means that there are 12 people who scored at or below a score of 72 on the test. Options a, b, and d are incorrect interpretations of the cumulative frequency.
Option a suggests that 72 people scored at or below a score of 12, which is not accurate based on the given information. Option b implies a percentage, which is not directly indicated by the cumulative frequency value. Option d suggests a percentage of people scoring at or below a score of 72, which again is not supported by the information provided. Therefore, the correct interpretation is that 12 people scored at or below a score of 72 on the test (option c).
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Which of the following functions matches this graph?
Answer:
a. y=x^2
Step-by-step explanation:
desmos graphing calculator
A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 7.25%. What will the area be after 8 years?
Answer:
4618.25 sq.km.
Step-by-step explanation:
After 1 year, the forest has shrunk from 4900 sq.km to 4900*(1-0.0575) = 4900*(0.9425)
The V(t)=1.50(1.17)^t represents the value V (t), in dollars, of a comic book t years after its purchase in 2000. Determine the annual growth rate in the value of the comic book and its value in 2025.
Answer:
Growth rate is 17%
2025 value is $76
Step-by-step explanation:
Here, we want to determine the annual growth rate
The general equation form is;
F = l( 1 + r)^n
where F is the future value
I is the initial value
r is the growth rate
n is the numbering years
To get the growth rate, we simply equate what we have in the bracket to 1 + r
Thus;
1 + r = 1.17
r = 1.17-1
r = 0.17
0.17 is same as 17/100 which is same as 17%
Secondly, we want to get the value of the book in 2025
What we have to do here is to substitute (2025-2000) for t which is 25
We have;
V(t) = 1.50(1.17)^25
V(25) = 75.986 which is approximately 76
We will see that the annual growth rate is of 17%, and in the year 2025, the value will be $75.99.
Exponential growth functions:
A general exponential growth can be written as:
f(x) = A*(1 + r)^x
Where A is the initial value and r is the growth rate. Now we can rewrite our function to get:
V(t) = 1.50*(1 + 0.17)^t
Then you can see that the growth rate is 0.17, or 17% in percentage form (to get it just multiply it bt 100%).
To get the value of the comic book in 2025 you just need to evaluate the function in t = 25 (25 years after the 2000).
V(25) = 1.50*(1 + 0.17)^25 = 75.99
So the value in 2025 is $75.99
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HATS Bill has h hats. If he buys 8 more hats, then multiplies his total by 3 he would still have fewer hats than Jim. Jim has 45 hats. Write and solve an inequality that represents this situation. How many hats does Bill have?
The inequality will be 3(h+8) < 45 and the number of hats that Bill have is less than 7
HATS Bill has h hats
If he buys 8 more hats then the number of hats he has = h + 8
then multiplies his total by 3 then the number of hats he has = 3(h + 8)
Still Bill has fewer hats than Jim, Jim has 45 hats
then the inequality will be 3(h+8) < 45
3(h+8) < 45
3h + 24 < 45
3h < 21
h < 7
Therefore, the inequality will be 3(h+8) < 45 and the number of hats that Bill have is less than 7
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The height of Dougal is 1.84 metres. The height of Seb is 1.7 metres. Write the height of Dougal as a fraction of the height of Seb. Give your answer in its simplest form. Write your fraction in the form a / b eg * 19/16 would be 19/16
Answer:
No se bro suerte con eso V:
Step-by-step explanation:
use spherical coordinates to evaluate zdv, where e is the solid that lies above the cone theta = pi/3 and below the sphere x^2 y^2 z^2 =4z
The volume of the solid e, using spherical coordinates, is -32π/243 (or approximately -0.418π). Note that the negative sign indicates that the orientation of the solid e is flipped or inverted.
What is spherical coordinates?
Spherical coordinates are a system of coordinates that represent points in three-dimensional space using three parameters: ρ (rho), θ (theta), and φ (phi). Spherical coordinates are particularly useful when working with problems involving spherical symmetry.
To evaluate the volume using spherical coordinates, we need to express the cone and sphere equations in terms of spherical coordinates. The spherical coordinates consist of three parameters: ρ (rho), θ (theta), and φ (phi).
The conversion from Cartesian coordinates (x, y, z) to spherical coordinates (ρ, θ, φ) is as follows:
x = ρsin(φ)cos(θ)
y = ρsin(φ)sin(θ)
z = ρcos(φ)
First, let's express the cone equation, θ = π/3, in spherical coordinates. Since the cone is defined by a constant value of θ, we have:
θ = π/3
Next, let's express the sphere equation, x² + y² + z² = 4z, in spherical coordinates. Substituting the spherical coordinate expressions into the Cartesian equation, we get:
(ρsin(φ)cos(θ))² + (ρsin(φ)sin(θ))² + (ρcos(φ))² = 4ρcos(φ)
Simplifying this equation, we have:
\(ρ^2sin²(φ)\)(cos²(θ) + sin²(θ)) + \(ρ^2cos²(φ)\) = 4ρcos(φ)
\(ρ^2sin²(φ)\) + \(ρ^2cos²(φ)\)) = 4\(ρ\)cos(φ)
\(ρ^2\) = 4ρcos(φ)
\(ρ\) = 4cos(φ)
Now, to evaluate the volume, we integrate \(ρ^2sin(φ)\) with respect to \(ρ\), φ, and θ over the appropriate ranges.
The limits of integration are as follows:
\(ρ\): 0 to 4cos(φ)
φ: 0 to π/3
θ: 0 to 2π
The volume element in spherical coordinates is \(ρ^2sin(φ)\)d\(ρ\)dφdθ.
The integral to evaluate the volume becomes:
∫∫∫ \(ρ^2sin(φ)\) dρdφdθ
Integrating with the given limits, the volume of the solid e is:
V = ∫[0 to 2π] ∫[0 to π/3] ∫[0 to 4cos(φ)] ρ^2sin(φ) dρdφdθ
First, let's integrate with respect to ρ:
∫[0 to 2π] ∫[0 to π/3] ∫[0 to 4cos(φ)] ρ^2sin(φ) dρdφdθ
= ∫[0 to 2π] ∫[0 to π/3] [(ρ^3/3)sin(φ)]|[0 to 4cos(φ)] dφdθ
= ∫[0 to 2π] ∫[0 to π/3] [(64/3)cos^4(φ)sin(φ)] dφdθ
Next, let's integrate with respect to φ:
∫[0 to 2π] ∫[0 to π/3] [(64/3)cos^4(φ)sin(φ)] dφdθ
= ∫[0 to 2π] [-16cos^5(φ)]|[0 to π/3] dθ
= ∫[0 to 2π] (-16/243) dθ
= (-16/243)θ| [0 to 2π]
= (-16/243)(2π - 0)
= (-32π/243)
Therefore, the volume of the solid e, using spherical coordinates, is -32π/243 (or approximately -0.418π). Note that the negative sign indicates that the orientation of the solid e is flipped or inverted.
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A store has a 30% off sale on pants. With this discount, the price of one pair of pants before tax is $10.20. What was the original price of the pants? *
14.57 i just took the quiz
3. A leaking tap drips water at 0,5 ml/sec. Convert this rate to l/h.
Answer: 1.8 L/h
Step-by-step explanation:
To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.
Step 1:
First, let's convert the rate from millilitres per second to litres per second.
There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:
\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)
Step 2:
We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:
\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)
Therefore, the rate of water dripping from the tap is 1.8 L/h.
----------------------------------------------------------------------------------------------------------
Find the common difference of the arithmetic sequence
Answer:
Choice C: 6
Step-by-step explanation:
Get the difference between each consecutive terms.
\( \mathbb{ANSWER:}\)
\(\sf d=a_n - a_{n-1}\)
\(\sf d = 10 - 4\)
\(\sf d = 6\)
∴ The common difference is 6
Look at this square. Find the value of
S.
S
Perimeter = 16 miles
S =
miles
The value of S, which represents the length of each side of the square, is 4 miles.
To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.
Perimeter = 4 × S
Given that the perimeter is 16 miles, we can substitute this value into the equation:
16 = 4 × S
To solve for S, we divide both sides of the equation by 4:
16 ÷ 4 = S
4 = S
Therefore, S, which stands for the square's side lengths, has a value of 4 miles.
So, S = 4 miles.
This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.
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write an equation for a degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and has a y-int at 5..
The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
How to define the polynomial?The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
The zeros of the function, along with their multiplicities, are given as follows:
Zero at x = 3 with a multiplicity of 1.Zero at x = 2 with a multiplicity of 2.Zero at x = -1 with a multiplicity of 3.Then the linear factors of the function are given as follows:
(x - 3).(x - 2)².(x + 1)³.The function is then defined as:
y = a(x - 3)(x - 2)²(x + 1)³.
In which a is the leading coefficient.
When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:
5 = -12a
a = -5/12
Hence the polynomial is:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
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There are 15 qualified applicants for 8 trainee positions in a fast-food management program. How many different groups of trainees can be selected
In a fast-food management program, there are 15 qualified applicants for 8 trainee positions. We are supposed to calculate the number of different groups of trainees that can be selected. For this, we can use the formula for combination. In mathematics, a combination is a way of selecting items from a collection, such that the order of selection doesn't matter.
It is represented as n Cr, where n is the total number of items and r is the number of items to be selected. In this problem, we have to select 8 trainees from a total of 15 qualified applicants. Hence, the solution is as follows: Now, we can use the formula for combination, which is as follows:
n Cr = n!/(r!(n-r)!) where n is the total number of items, and r is the number of items to be selected. In this case, we have 15 items to choose from, and we want to select 8 of them. Hence, we get: 15C8 = 15!/(8!(15-8)!) 15C8 = (15 × 14 × 13 × 12 × 11 × 10 × 9 × 8!)/(8! × 7 × 6 × 5 × 4 × 3 × 2 × 1)15C8 = 6435 Therefore, there are 6,435 different groups of trainees that can be selected from the 15 qualified applicants for 8 trainee positions in a fast-food management program.
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__________ is the principle that the statistical analysis of plaintext and ciphertext results in a form of dispersion rendering one structurally independent of the other.
Diffusion is the principle that the statistical analysis of plaintext and ciphertext results in a form of dispersion rendering one structurally independent of the other.
In a simple language, whenever there is a change in one character of the plaintext there is a multiple changes in the ciphertext. The changes do not reveal the information as the structure of plaintext.
What is ciphertext?
Whenever the encrypted text changes from plaintext to encrypted algorithm then it is known as the ciphertext. It cannot be read until it is decrypted with the help of the key. And the decryption cipher algorithm changes ciphertext to plaintext text to make it readable.
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Describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to nonstudents.
Answer:
(20,0) , (0,16) , (5,12) , (10,8) , (15,4)
Step-by-step explanation:
Total amount of tickets sold = 80
Per ticket price for students = 4 ; Per ticket price for non students = 5
Let no. of students be s , no. of non students be x
Equation : 4s + 5x = 80
So, Maximum number of student tickets sold (assuming all student, no 'non student' tickets) = 80 / 4 = 20
Maximum number of non student tickets sold (assuming all 'non student', no 'student' tickets) = 80 / 5 = 16
Other possible values {s,x} , as per equation = (5,12) , (10,8) , (15,4)
I NEED HELP ON THE FIRST QUESTION ASAP!!!!!!!!
Answer to question 1 is \(\text{y} \le -\frac{2}{5}\text{x}+100\)
=========================================================
Explanation:
The first task is to find the equation of the line through the given points in the table.
Pick any two points you want. I'll pick (0,100) and (50,80)
Determine the slope:
\((x_1,y_1) = (0,100) \text{ and } (x_2,y_2) = (50,80)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{80 - 100}{50 - 0}\\\\m = \frac{-20}{50}\\\\m = -\frac{2}{5}\\\\\)
The slope is -2/5.
The y intercept is b = 100 because of the point (0,100)
We go from \(\text{y} = m\text{x}+b\) to \(\text{y} = -\frac{2}{5}\text{x}+100\)
Each point from the table is found on this line. For instance, let's check the point (140,44)
\(\text{y} = -\frac{2}{5}\text{x}+100\\\\44 = -\frac{2}{5}*140+100\\\\44 = -56+100\\\\44 = 44\\\\\)
This confirms (140,44)
I'll let you check the other points.
------------------
Any point on the line mentioned represents a scenario where César spends all of the $50.
If he goes above the line, then he'll spend more than $50. If he goes below, he spends less than $50.
This means we want to shade the region below the boundary line \(\text{y} = -\frac{2}{5}\text{x}+100\)
We'll replace the equal sign with a "less than or equal" sign
We arrive at \(\text{y} \le -\frac{2}{5}\text{x}+100\) as the final answer to question 1.
Answer: Answer to question 1 is =========================================================Explanation:The first task is to find the equation of the line through the given points in the table. Pick any two points you want. I'll pick (0,100) and (50,80) Determine the slope:The slope is -2/5.The y intercept is b = 100 because of the point (0,100)We go from to Each point from the table is found on this line. For instance, let's check the point (140,44)This confirms (140,44)I'll let you check the other points.------------------Any point on the line mentioned represents a scenario where César spends all of the $50.If he goes above the line, then he'll spend more than $50. If he goes below, he spends less than $50.This means we want to shade the region below the boundary line We'll replace the equal sign with a "less than or equal" signWe arrive at as the final answer to question 1.
Step-by-step explanation:
Which group of expressions could represent the dimensions of a rectangular prism with a volume of 2y3 + 15y2 + 28y?
A. y, y + 4, 2y + 7
B. y, y + 7, 2y + 4
C. y, y + 2, 2y + 14
D. y, y + 14, 2y + 2
Answer:
C. y, y + 2, 2y + 14
Step-by-step explanation:
Given
\(Volume = 2y^3 + 15y^2 + 28y\)
Required
Determine which set of dimensions is applicable
The volume of a rectangular prism is calculated as:
\(Volume = Length * Width * Height\)
So, to solve this question, we have to test each options using the above formula
A. y, y + 4 and 2y + 7
\(Volume = y * (y + 4) * (2y + 7)\)
Open brackets
\(Volume = y * (y * 2y+ 4* 2y + y * y+ 4* 7)\)
\(Volume = y(2y^2+ 8y + y^2+ 28)\)
\(Volume = 2y^3+ 8y^2 + y^3+ 28y\)
Collect Like Terms
\(Volume = 2y^3 + y^3+ 8y^2+ 28y\)
\(Volume = 3y^3+ 8y^2+ 28y\)
B. y, y + 7, 2y + 4
\(Volume = y * (y + 7) * (2y + 4)\)
Open brackets
\(Volume = y * (y * (2y + 4)+ 7* (2y + 4))\)
\(Volume = y * (2y^2 + 4y+ 14y + 28)\)
\(Volume = y * (2y^2 + 18y+ 28)\)
\(Volume = 2y^3 + 18y^2+ 28y\)
C. y, y + 2, 2y + 14
\(Volume = y * (y + 2) * (2y + 14)\)
Open brackets
\(Volume = y * (y* (2y + 14) + 2* (2y + 14))\)
\(Volume = y * (2y^2 + 14y + 4y + 28)\)
\(Volume = y * (2y^2 + 18y + 28)\)
\(Volume = 2y^3 + 18y^2 + 28y\)
There's no need to check the last option because option c answers the question.
Hence, the dimension is y, y + 2, 2y + 14
A stratified random sample of 1000 college students in the united states is surveyed about how much money they spend on books per year
A random sample that has 1000 college students in the United States is surveyed about how much money they spend on books per year, and the mean amount calculated is 1000 college students in the US. Option A is the correct answer.
The sample in this scenario refers to the group of college students who were surveyed about their book spending habits. In this case, the sample size is 1000 college students in the United States.
The purpose of this survey is to estimate the mean amount of money spent on books per year by college students in the US, using the sample mean as an estimate. It is important to note that the sample should be representative of the larger population of college students in the US.
Therefore, option A, "1000 college students in the US," is the correct answer. Option B, "all college students in the US," represents the population, not the sample. Options C and D are not relevant to the given scenario.
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The question is -
A random sample of 1000 college students in the United States is surveyed about how much money they spend on books per year, and the mean amount is calculated. What is the sample?
a. 1000 college students in the US
b. all college students in the US
c. 1000 college students in CA
d. all college students in CA