Answer:
14%
Step-by-step explanation:
Helena asked five drama club members in her homeroom how many tickets they had sold. The mean number of tickets sold was 16. Then she took ten random samples from the entire drama club of 75 students. The mean number of tickets sold was 22. 5. Compare the means. Is one sample a better representation? Explain why or why not.
The total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.
The formula for calculating the mean of numbers is expressed according to to the formula;
[tex]\overline x=\frac{\sum x}{n} \\[/tex]
n is the total sample space
[tex]\overline x[/tex] is the mean of the samples
[tex]\sum x[/tex] is the sum of the variables
If the mean number of tickets sold by five drama club members was 16, then;
[tex]16=\frac{\sum x}5}\\\sum x = 16 \times 5\\\sum x_1 = 80[/tex]
If she took ten random samples from the entire drama club of 75 students with a mean number of 22.5, hence;
[tex]\sum x_2 = 75[/tex]
Since the total sum of the population in the first sample is greater than the second, hence the first sample is a better representation.
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After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answer:
Part A:
Gwen equation
x + 10y = 30
Part C:
Keith equation:
x + 10y = 30
Part B:
Tristan equation:
x + 15y = 40
Part D:
You would use Keith's and Tristan's equation, because Gwen and Keith have the same exact equation so you can just use Keith's equation.
Part E:
Multiply the second equation by -1, then add the equations together.
(x+10y=30)
-1(x+15y=40)
Becomes:
x + 10y = 30
-x - 15y = - 40
Add these equations to eliminate x:
-5y = -10
-5y/5 = -10/5
so y = 2
Now lets find x, so lets plug it in x + 10y = 30.
x + 10(2) = 30
x + 20 = 30 ( do 30-20)
x = 10
We used elimination to solve this problem.
The entree fee is $10 and each ticket costs $2.
Part F:
For this part search graph tool and go on the app, then put Keith's and Tristan's equation in Graph Tool. Once you do that just screenshot it and paste it to Part F, then your answer should be Yes, you get the same solution when it is solved algrebraically.
Step-by-step explanation:
I really hope this helps you!!!! :D Mark brainliest if it does!!!!
Answer: Part A:
Gwen equation
x + 10y = 30
Part C:
Keith equation:
x + 10y = 30
Part B:
Tristan equation:
x + 15y = 40
Part D:
You would use Keith's and Tristan's equation, because Gwen and Keith have the same exact equation so you can just use Keith's equation.
Part E:
Multiply the second equation by -1, then add the equations together.
(x+10y=30)
-1(x+15y=40)
Becomes:
x + 10y = 30
-x - 15y = - 40
Add these equations to eliminate x:
-5y = -10
-5y/5 = -10/5
so y = 2
Now lets find x, so lets plug it in x + 10y = 30.
x + 10(2) = 30
x + 20 = 30 ( do 30-20)
x = 10
We used elimination to solve this problem.
The entree fee is $10 and each ticket costs $2.
Part F:
For this part search graph tool and go on the app, then put Keith's and Tristan's equation in Graph Tool. Once you do that just screenshot it and paste it to Part F, then your answer should be Yes, you get the same solution when it is solved algrebraically.
Step-by-step explanation:
I really hope this helps you!!!! :D Mark brainliest if it does!!!!
Step-by-step explanation:
What is the value of x
Answer: your answer is 36.3 cause it's half of 72.6.
Step-by-step explanation:
Find the slope of the line that includes the ordered pairs.
Find the perpendicular slope of the given ordered pairs.
Bradley needs st least $280 for a laptop. He already had saved $40. He earns $8 an hour at his job. Write and solve the inequality to find how many hours he will need to work to buy the system. Explain the solution.
Answer: 30
Step-by-step explanation:
40 + 8x = 280
-40 -40
8x = 240
___ ____
8 8
X = 30
At a football stadium, 10% of the fans in attendance were teenagers. If there were 30 teenagers at the football stadium, what was the total number of people at the stadium?
Insert the values given in the problem then scale up or down to find the missing value.
Answer:
i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.
Step-by-step explanation:
So, I undestood slope right. But, I get confused with the other points that intersect there is multiple of them. How do i look for the slope using rise over run?
Answer:
slope = 2
Step-by-step explanation:
Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:
(-2, -1) and (0, 3)
Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a rise of 4. The x went from -2 to 0, so that is a run of 2. "rise over run" means rise literally over run in a fraction like this:
[tex]m=\frac{rise}{run}[/tex]
The more proper way to calculate slope looks like this, but it's really the same thing in the end:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) and (x2, y2) are your 2 points.
Finally, the slope of this line is:
[tex]m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2[/tex]
That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.
what is
[tex]f(x) = 2x - 3[/tex]
And
[tex]g(x) = 6 - x[/tex]
Answer:
Solution
Correct option is C)
(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)
a man who is 1.6 m tall observes the angle of elevation of the top of a tower is 45°.if the height of the tower is 21 m,find the distance between the man and the tower.
Step-by-step explanation:
hope it will help you.....
how do i do this?? any answers pls
Step-by-step explanation:
In the given problem, there are two plans that can be represented with a linear function.
Plan A:A = total monthly cost of Plan A for every x number of movies that Sadie watches per month
Slope: $3 = The additional cost for every x number of movies watched per month
Y-intercept: $21 = The monthly cost of Plan A
Combining these elements together, we can establish the following linear function: A(x) = 3x + 21
Plan B:B = total monthly cost of Plan B for every x number of movies that Sadie watches per month
Slope: $1.50 = The additional cost for every x number of movies watched per month
Y-intercept: $27 = The monthly cost of Plan B
Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27 or [tex]\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}[/tex].
Graphing:Plan A:In order to graph Plan A, start with plotting the y-intercept, (0, 21). The y-intercept is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.
Plan B:Similarly for Plan B, start with plotting the y-intercept, (0, 27).
Then, use the [tex]\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}[/tex] (rise 3, run 2), to plot the other points on the graph.
Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.
Interval of movies watched:The attached graph also shows that when 0 ≤ x < 4, Plan A is cheaper than Plan B. The interval notation is: [0, 4).
This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.
Describe the error in finding the measure of the angle.
Can i get some help ::
Answer:
last option
...................................
HELP PLS! The dotplot below displays 26 students' scores on a 30-
point statistics quiz.
Which of the following statements best describes the
dotplot?
Statistics Quiz
O The distribution of quiz scores is skewed left with a
center around 24 and varies from 12 to 30. There
are possible outliers at 12, 14, 15, and 16.
O The distribution of quiz scores is skewed right with a
center around 24 and varies from 12 to 30. There
are possible outliers at 12, 14, 15, and 16.
O The distribution of quiz scores is unimodal
symmetric with a center around 24 and varies from
12 to 30. There are possible outliers at 12, 14, 15,
and 16.
O The distribution of quiz scores is unimodal
symmetric with a center around 26 and varies from
20 to 30. There are possible outliers at 12, 14, 15,
and 16.
10
30
15 20
25
Scores (in Points)
Answer:
Skewed right center around varies from 12 to 30. Possible outliers 12, 14, 15, 16.
The distribution of quiz scores is skewed right with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.
What is the correct option?The dot plot is skewed to the right because majority of the data occur to the right of the dot plot.
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. Outliers usually occur with a frequency of one. Looking at the dot plot, it can be seen that the numbers that range from 12 to 16 have only one dot.
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SPJ2
please i need help ASAP!!!
John had one piece of rope that was 176 feet long. He cut the rope into as many 9-foot pieces as possible. The last piece of rope was less than 9 feet long.
Answer:
The ninth piece is 0.5 feet long
Step-by-step explanation:
176 divided by 9
Hope this helps!
Help help help math
Answer:
C ≈ 54
Step-by-step explanation:
The circumference (C) is calculated as
C = πd ( d is the diameter )
Here d = 18 , then
C = π × 18 ≈ 3 × 18 = 54
The area of a square depends on the length of its sides. This can be written in function notation as a(s). What is the best interpretation of a(4) = 16?
A. The area of a square is always one-fourth of the side length.
B. The area of a square is always four times the side length.
C. A square with sides 4 units long has an area of 16 square units.
D. A square with sides 16 units long has an area of 4 square units.
Answer:
option d is the right answer
ANSWerS AsaAP!!!!! ljDCSIHS
Answer: C. y=3x+4
Step-by-step explanation:
SInce the line crosses the y-axis at the point (0,4), and the line is positive since it is pointing upwards, and the slope of the line is 3 if you count up 3 over 1, the correct equation of the line is y=3x+4.
Solve for x plsss I need the answer ASAP plsss
Answer:
106 degrees
Step-by-step explanation:
180 degrees in a triangle divided by three
60 minus 23 equals 37
37 times 2 is 74
180 minus 74 equals 106
Hope it's right :)
don't ask why im asking for help ;-;
2.744
merry christler
a) Given that sin x =cos x , find the value of tan x .
b) Find the values of x in the interval 0≤x<360 for which sin x =cos x .
[tex](a)\\\\\text{Given that, sin x = cos x }\\\\\text{So,} ~ \tan x = \dfrac{\sin x}{\cos x} = \dfrac{\sin x}{\sin x} = 1\\\\\\(b)\\\\\text{Given that,}\\\\\sin x = \cos x\\\\\implies \dfrac{\sin x}{\cos x} =1\\\\\implies \tan x =1\\\\\implies x = n\pi + \dfrac{\pi} 4 \\\\\text{For interval}~ [0, 2\pi),}\\\\x= \dfrac{\pi}4, \dfrac{5\pi}4~~;[\text{When n = 0,1}]\\\\\text{In degrees,} ~ x= 45^{\circ} , 225^{\circ}[/tex]
If the radius is 18 cm and the angle at centre of circle is 120° then the
area of sector is? Use pi as 3.142 *
The area of a sector is 339.336 cm²
The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.
It can be determined by using the formula:
[tex]\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }[/tex]
Given that;
Radius r = 18 cmAngle θ = 120°Then. the area of the sector can be calculated as:
[tex]\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }[/tex]
[tex]\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }[/tex]
A = 339.336 cm²
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whadt is the first and second quotient of 1178 divided by 31
Answer:
its 38
Step-by-step explanation:
use a calculator like i did :)
The US Constitution originally said that senators would be selected by state legislatures. Per the terms of the 17th Amendment, senators are now elected directly by the citizens of their respective states.
The party balance in the 115th Congress (2017–19) is 51 Republicans, 47 Democrats, and 2 independents, who caucus with the Democrats. As of January 2018, Republicans had control of the legislatures of 31 states; Democrats had control in 14; control was split in 4; and Nebraska was officially nonpartisan.
Develop an argument for or against repealing the 17th Amendment.
In your essay, you must:
articulate a defensible claim or thesis that responds to the prompt and establishes a line of reasoning.
use your knowledge of federalism, the constitutional position of the US Senate, partisan politics, checks and balances, voting rights, and the history of redistricting or gerr
Based on the provisions of the 17th Amendment, we can see that the provisions of the United States Constitution gave the people the right to vote for their senators who would represent their interests instead of the state legislature.
With this in mind, we can see that if the seat of a senator is unoccupied, then the governor of the state can make his appointment of a senator.
Based on the given data on the party balance of the US Senators, it is still not enough reason to repeal the 17th Amendment because giving the people the right to choose their representatives is still the core value of democracy which should never be tampered with.
Read more about the 17th Amendment here:
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I NEED HELP PLEASE will give crown
Answer:
hey. use cymath. its easier and youll me able to answer more questions like this. it also shows you the whole process. here look:
Step-by-step explanation:
i need help again lol last one tho
Answer:
B.
Step-by-step explanation:
x^4
please mark brainliest
[tex](x)(x)(x)(x)\\\\=x^{1+1+1+1} ~~~ ;[x^a \cdot x^b = x^{a+b}]\\\\=x^4[/tex]
HELP, ILL GIVE BRAINLST
Imagine that you have been asked to do an infomercial for a new sous vide tool. You are instructed to not only explain how the tool works but what some of the benefits of this cooking method are. Write a brief script that you could use for this infomercial.
Answer:
Sous vide is the process of sealing some kind of protein in an airtight “vacuum” container and then submerging it in the water at a specific temperature. By sealing them up and dropping them in a large pot of water to cook, there is no fire, no heated metal, no steam, and no smoke. And oddly enough, the water never even comes to a full boil—it just rests at the exact temperature the protein needs to reach for “doneness.” It takes a little longer than some other methods, and it guarantees to never overcook the protein, which can be particularly wonderful if you like your steak with just that perfect amount of pinkness. Sous vide machines used to be specialized equipment for fancy restaurants, but not anymore. These days, a lot of home cooks use small, affordable pots with the exact same cooking power. If you’re having friends over for dinner, sous vide makes pre-party prep a whole lot easier, plus sealed proteins can be kept in the fridge for at least one week. It also guarantees you will never overcook that $30 filet mignon again or stand over a hot stove when you’d rather be doing something else. And because the slowness of sous vide method allows fibers within the protein to contract more slowly, the meat stays juicier.
Step-by-step explanation: Hope this helps
If the perimeter of a regular hexagon is 1 foot, each side is
how many inches long?
Answer:
2 or...?
Step-by-step explanation:
The hexagon is 2 inches long
Multiply it with the given measurement. 1 foot is 12 inches. This means that the perimeter = 12 in. A hexagon has 6 sides. This means that 12 divided by 6 sides = 2 in.
If you want to know more on hexagons go here:
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—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
Write an equation to represent the image.
Answer:
m+1/4=2/3
Step-by-step explanation:
please mark me as brainlest
Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned.
Answer:
Part A:
Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is
y = 100 + 10x
Part B:
Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is
y = 12.5x
Part C:
Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is
y = 10x
Part D:
Just follow the instructions and do the thing for the app. You can then answer the questions it is very easy.
Part E:
Do the same for E after you do Part D.
Step-by-step explanation:
Hope it helps!
Answer: ?
Step-by-step explanation: