Problem 1
Focus: (5, 0)
Directrix: y = -18
------------------
Explanation:
The given equation can be written as 4*9(y-(-9)) = (x-5)^2
Then compare this to the form 4p(y-k) = (x-h)^2
We see that p = 9. This is the focal distance. It is the distance from the vertex to the focus along the axis of symmetry. The vertex here is (h,k) = (5,-9)
We'll start at the vertex (5,-9) and move upward 9 units to get to (5,0) which is where the focus is situated. Why did we move up? Because the original equation can be written into the form y = a(x-h)^2 + k, and it turns out that a = 1/36 in this case, which is a positive value. When 'a' is positive, the focus is above the vertex (to allow the parabola to open upward)
The directrix is the horizontal line perpendicular to the axis of symmetry. We will start at (5,-9) and move 9 units down (opposite direction as before) to arrive at y = -18 as the directrix. Note how the point (5,-18) is on this horizontal line.
================================================
Problem 2
Focus: (13,-3)
Directrix: x = 3
------------------
Explanation:
We'll use a similar idea as in problem 1. However, this time the parabola opens to the right (rather than up) because we are squaring the y term this time.
20(x-8) = (y+3)^2 is the same as 4*5(x-8) = (y-(-3))^2
It is in the form 4p(x-h) = (y-k)^2
vertex = (h,k) = (8,-3)
focal length = p = 5
Start at the vertex and move 5 units to the right to arrive at (13,-3). This is the location of the focus.
Go back to the focus and move 5 units to the left to arrive at (3,-3). Then draw a vertical line through this point to generate the directrix line x = 3
Line segment TS is tangent to circle O at point N.
Circle O is shown. Line segment Q N goes from one side of the circle to the other side. Tangent T S intersects the circle at point N. Point P is on the circle between points Q and N. Point R is on the circle between points Q and N. Angle Q N T is 74 degrees.
If the measure of Angle Q N T is 74°, what is the measure of Arc Q P N?
37°
74°
148°
212°\
Answer:
148°
Step-by-step explanation:
The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.
arc QN = 2(74°) = 148°
_____
Comment on the question and answer
Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.
__
We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.
Answer:
148
Step-by-step explanation:
Edge 2020
A rectangle is 2 inches longer than it is wide. Numerically, its area exceeds its perimeter by 20. Find the perimeter. ____________________ in
Answer:28
Step-by-step explanation: 6 x 8 = 48 6+6+8+8=28
The perimeter of rectangle is 28 inches
What is Perimeter of rectangle?The formula used to calculate the perimeter of a rectangle is, perimeter of a rectangle = 2(l + w), where 'l' is the length and 'w' is the width of the rectangle.
For example
The length of a bedsheet is 120 inches and the width is 85 inches. How much lace will be needed to put around its border?
Given, length = 120 inches; width = 85 inches.
Perimeter of a rectangle = 2(l + w).
On substituting the values of length and width in this formula, we get,
Perimeter = 2(l + w) = 2(120 + 85)= 2 × 205 = 410 inches.
Let he breadth be x
length= x+ 2
Area= Perimeter + 20
x² + 2x = 4x+ 4 + 20
x² - 2x -24 = 0
x² - 2x -24 = 0
(x- 6) (x+ 4)=0
x= 6, -4
So, length= 8 inches and breadth = 6 inches.
Hence, the Perimeter of rectangle= 2( 8 +6)= 2*14= 28 inches
Learn more about perimeter of rectangle here:
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[tex]3\sqrt{2} - 5 \sqrt{18}[/tex] Help is appreciated!! Thank you so much! :D ❤❤
A circular garden has a diameter of 12 feet. About how much trim is needed to surround the garden by placing trim on the garden's circumference?
Trim = circumference
= 2[tex]\pi r[/tex]
= 2 x 3.14 x 6
= 37.68 feet
Hommie Delicacies produces two products (Orapine and Banango) from a joint process. The joint cost of production is GH¢80,000. Five thousand units of Orapine can be sold at split-off for GH¢20 per unit or processed further at an additional cost of GH¢20,000 and sold for GH¢25 per unit. Ten thousand units of Banango can be sold at split-off for GH¢15 per unit or processed further at an additional cost of GH¢20,000 and sold for GH¢16 per unit. Advise Hommie on further processing each of the products?
Answer:
Orapine: do additional processingBanango: no additional processingStep-by-step explanation:
The processing cost of split-off Orapine units is ...
GH¢20,000/(5000 units) = GH¢4/unit
The increase in revenue from the further processing is ...
GH¢25 -GH¢20 = GH¢5
The increased processing cost is less than the increased revenue, so there is additional profit from further processing 5000 units.
__
The processing cost of split-off Banango units is ...
GH¢20,000/(10000 units) = GH¢2/unit
The increase in revenue from the further processing is ...
GH¢16 -GH¢15 = GH¢1
The increased processing cost is more than the increased revenue, so the company takes a loss from further processing 10000 units. No additional processing of Banango units should be undertaken.
The diagram shows a right triangle and three squares. The area of the largest square is 363636 units^2 2 squared. Which could be the areas of the smaller squares?
Answer:
The answers are A. and B.
Step-by-step explanation:
Since the area of the largest square is 36. We need two numbers that equal 36. and A. had 6 and 30 so i picked it and it was right and B. is 28 and 8 which also equals 36. But, C. is 4 and 16 which is not 36. So A. and B. are the answers. Hope this helps! :)
We can use the Pythagorean theorem (a^2+b^2=c^2)(a
2
+b
2
=c
2
)left parenthesis, a, squared, plus, b, squared, equals, c, squared, right parenthesis to determine possible areas of the two smaller squares.
\text{Area of a square} =\text{side}^2Area of a square=side
2
start text, A, r, e, a, space, o, f, space, a, space, s, q, u, a, r, e, end text, equals, start text, s, i, d, e, end text, squared
So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2a
2
,b
2
a, squared, comma, b, squared and c^2c
2
c, squared in the Pythagorean theorem.
Hint #22 / 6
For example, in the diagram above, the area of the square that shares a side with the hypotenuse is 363636 square units. So, c^2=36c
2
=36c, squared, equals, 36.
Hint #33 / 6
Let's fill in the possible values to see if they make the equation true.
\begin{aligned} a^2 + b^2 &= c^2 \\\\ a^2 + b^2 &= 36 \\\\ 6 + 30 &\stackrel{\large?}{=}36 \\\\ 36 &\stackrel{\checkmark}{=}36\\\\ \end{aligned}
a
2
+b
2
a
2
+b
2
6+30
36
=c
2
=36
=
?
36
=
✓
36
The sum of the areas of the squares connected to the two shorter triangle sides is equal to the area of the square connected to the longest side.
So, 666 and 303030 could be the areas of the smaller squares.
Hint #44 / 6
\begin{aligned} a^2 + b^2 &= c^2 \\\\ a^2 + b^2 &= 36 \\\\ 8 + 28 &\stackrel{\large?}{=}36 \\\\ 36 &\stackrel{\checkmark}{=}36\\\\ \end{aligned}
a
2
+b
2
a
2
+b
2
8+28
36
=c
2
=36
=
?
36
=
✓
36
The sum of the areas of the squares connected to the two shorter triangle sides is equal to the area of the square connected to the longest side.
So, 888 and 282828 could be the areas of the smaller squares.
Hint #55 / 6
\begin{aligned} a^2 + b^2 &= c^2 \\\\ a^2 + b^2 &= 36 \\\\ 4 + 16 &\stackrel{\large?}{=}36 \\\\ 20 &\neq 36\\\\ \end{aligned}
a
2
+b
2
a
2
+b
2
4+16
20
=c
2
=36
=
?
36
=36
The sum of the areas of the squares connected to the two shorter triangle sides is not equal to the area of the square connected to the longest side.
So, 444 and 161616 could not be the areas of the smaller squares.
Hint #66 / 6
The area of the smaller squares could be:
666 and 303030
888 and 2828
need help thanksssssssss
Answer:
Volume: 112 m³.
Surface area: 172 m².
Step-by-step explanation:
The volume is the base times height times length. So, the volume will be 2 * 8 * 7 = 16 * 7 = 112 m³.
The surface area is 2lw + 2lh + 2wh. l = 8; w = 7; h = 2.
2(8)(7) + 2(8)(2) + 2(7)(2) = 2 * 56 + 2 * 16 + 2 * 14 = 112 + 32 + 28 = 112 + 60 = 172 m².
Hope this helps!
For a given function ƒ(x) = x5, a translation in the positive y-direction of two units is represented by which of the following?
Question 5 options:
A)
ƒ(x + 2) = ( x – 2)5
B)
ƒ(x + 2) = (x + 2)5
C)
ƒ(x) – 2 = x5 – 2
D)
ƒ(x) + 2 = x5 + 2
Answer:
D) ƒ(x) + 2 = x5 + 2
Step-by-step explanation:
You have the following function:
[tex]f(x)=x^5[/tex] (1)
In the case of a vertical translation of the function on the coordinate system, you have that a translation of a units upward is obtained with the function f(x)+a. In the same way, a translation downward is obtined with f(x)-a.
Thus, a translation in the positive y direction of 2 units (a=2) is given by the following function.
D) ƒ(x) + 2 = x5 + 2
Please answer this correctly without making mistakes
Answer:
d = 115.4 mi
Step-by-step explanation:
Since it gives us the distance in between the locations, we simply label the distances:
From the Garbage to the Hotel is 58.3 miles.
From the Hotel to the Hardware Store is 57.1 miles.
We are trying to find the distance from the Garbage to the Hardware Store, we simply add the distances between:
58.3 mi + 57.1 mi = 115.4 mi
(very urgent) will gave 20 pts
Suppose that you pick a bit string from the set of all bit strings of length ten. Find the probability that
a) the bit string has exactly two 1s;
b) the bit string begins and ends with 0;
c) the bit string has the sum of its digits equal to seven;
d) the bit string has more 0s than 1s;
e) the bit string has exactly two 1s, given that the string begins with a 1.
Answer:
a. 45/1024
b. 1/4
c. 15/128
d. 193/512
e. 9/256
Step-by-step explanation:
Here, each position can be either a 0 or a 1.
So, total number of strings possible = 2^10 = 1024
a) For strings that have exactly two 1's,
it means there must also be exactly eight 0's.
Thus, total number of such strings possible
10!/2!8!=45
Thus, probability is
45/1024
b) Here, we have fixed the 1st and the last positions, and eight positions are available.
Each of these 8 positions can take either a 0 or a 1.
Thus, total number of such strings possible
=2^8=256
Thus, probability is
256/1024 = 1/4
c) For sum of bits to be equal to seven, we must have exactly seven 1's in the string.
Also, it means there must also be exactly three 0's
Thus, total number of such strings possible
10!/7!3!=120
Thus, probability
120/1024 = 15/128
d) Following are the possibilities :
There are six 0's, four 1's :
So, number of strings
10!/6!4!=210
There are seven 0's, three 1's :
So, number of strings
10!/7!3!=120
There are eight 0's, two 1's :
So, number of strings
10!/8!2!=45
There are nine 0's, one 1's :
So, number of strings
10!/9!1!=10
There are ten 0's, zero 1's :
So, number of strings
10!/10!0!=1
Thus, total number of string possible
= 210 + 120 + 45 + 10 + 1
= 386
Thus, probability is
386/1024 = 193/512
e) Here, we have fixed the starting position, so 9 positions remain.
In these 9 positions, there must be exactly two 1's, which means there must also be exactly seven 0's.
Thus, total number of such strings possible
9!/2!7!=36
Thus, probability is
36/1024 = 9/256
Amber says that the data set is left-skewed because the box is farther to the left on the number line. (A) Is Amber correct? (B) Explain your reasoning.
144 + h^2 = 225 WHAT THE HECK DOES ^ MEAN!???
Answer:
h^2 means h²
(h squared)
Step-by-step explanation:
Step 1: Write equation
144 + h² = 225
Step 2: Subtract 144 on both sides
h² = 81
Step 3: Take square root
√h² = √81
h = 9
Each week, Rosario drives to an ice-skating rink that is 60 miles away. The round-trip takes 2.75 hours. If he averages 55 miles per hour on his way to the rink, which equation can be used to find x, the number of miles per hour he averages on his way home?
Answer:
The answer to your question is x = 4d/t - S1
Step-by-step explanation:
Data
total time = t = 2.75 hours
Initial speed = S1 = 55 mi/h
Final speed = x
distance = d = 60 mi
Formula
speed = distance / time
Average speed = (Initial speed + final speed)/2 or
= (S1 + x)/2
Substitution
(S1 + x)/2 = 2(d) / t
Solve for x
x = (2d/t)2 - S1
Simplification and result
x = 4d/t - S1
Given: (in picture as I cannot type it like that.) Name the postulate or theorem you can use to prove: (also in the picture) A. HL Theorem B. AAS Theorem C. SAS Postulate D. ASA Postulate
Answer:
You need to use the AAS (angle angle side) congruency theorem
Step-by-step explanation:
youre welcome!!!
Answer:
The Angle-Angle-Side Postulate (AAS)
Step-by-step explanation:
It is given that angle 1 and 2 are equivalent so that is angle #1
It is given that angle 3 and 4 are also equivalent so that is angle #2
And finally, it is given that side TS and side TR are equivalent giving you that last side you need to prove the type of Postulate it is
If this helped, please consider giving me brainliest, it will help me a lot
Have a good day! :)
What is the range of y=log2(x-6)
Answer:
6<y<∞
Step-by-step explanation:
Logarithmic curves can never go left to 0 and go on forever to the right.
x=6 would make the function 0, so 6 is the lower limit and infinity would be the upper limit.
A smartphone company found in a survey that 6% of people did not own a smartphone, 15% owned a smartphone only, 26% owned a smartphone and only a tablet, 32% owned a smartphone and only a computer, and 21% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer
Answer:
47%
Step-by-step explanation:
we are required to find the probability to randomly select from the union of those who own a smartphone only and those who own a smartphone and computer.
an addition of the subsets cover the entire set.
6 + 15 + 26 + 32 + 21 = 100%
let
p(A)= probability of smartphone only
p(B) = probability of smartphone and computer
p(A U B) = P(A) + P(B)
= 15% + 32%
= 47%
In the equation, the value of a is:
Answer:
Please check if the answer is a = 4 or not
Frank’s been traveling a lot lately as part of his job. During the past 30 days,he’s been out of town 18 days. What fraction represents the number of the 30 days that frank has been out of town? Explain how you got your answer
Answer:
[tex]n = \frac{3}{5}[/tex]. Which means that Frank has been travelling out of the town 3 days for each five days.
Step-by-step explanation:
The fraction ([tex]n[/tex]) is obtained by dividing the number of days that Frank has been out of town (18 days) in the given period (30 days). That is to say:
[tex]n = \frac{t}{T}[/tex]
[tex]t[/tex] - Out-of-the-town period, measured in days.
[tex]T[/tex] - Given period, measured in days.
If [tex]t = 18\,days[/tex] and [tex]T = 30\,days[/tex], then:
[tex]n = \frac{18\,days}{30\,days}[/tex]
[tex]n = \frac{3}{5}[/tex]
Which means that Frank has been travelling out of the town 3 days for each five days.
write the statement for 6x-3=9
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
The statement for [tex]6x - 3 = 9[/tex] is :
[tex]\boxed{Six (x) .minus. Three .equals. Nine.}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Laura wants to place one flower every 3/4 meters along the path from the gate to the main entrance of her home. The path is 12 meters long. How many flowerpots will she need?
Answer:
16 flowerpots
Step-by-step explanation:
12 divided by 3/4=16
what is 328.1 × 0.63 what answer
Answer:206.703
Step-by-step explanation: you have to multiply 328.1 times 0.63 then you get your answer.
Answer:
206.703
Step-by-step explanation:
328.1 × 0.63=206.703
Samantha has 5 granola bars. She wants to give 1/3 of a granola bar to each friend. Which expression can she use to find the number of friends to whom she can give granola bars?
Answer:
5/(1/3)
Step-by-step explanation:
She has 5 granola bars and gives 1/3 of one to each of her friends. To find how many friends she can give it to, divide 5 by 1/3. You would get a total of 15 friends that you can give granola bars to. The question is asking for an expression so the expression would be 5/(1/3) or 5*3
Answer:
1/3 x = 5
x=15
Step-by-step explanation:
You’re multiplying 1/3 times the number of friends (x), and then multiplying both sides by the reciprocal to solve for x
Use multiplication or division of power series to find the first three nonzero terms in the maclaurin series for the given function. (Enter your answers as a comma-separated list.)
y=(e^-x^2)cosx
Answer:
1 , - ( 3x^2/2), + (25x^4/24).
Step-by-step explanation:
We are given the following information:
y = (e^-x^2)cosx.
STEP ONE: Write out the power series out(either by deriving it or otherwise).
If you check the power series table, you will get the power series for the two functions that is cos x and e^-x^2.
e^-x^2 = 1 - (x^2) + ( x^4/2! ) - (x^6/3!) +...
Cos x = 1 - (x^2/2!) + x^4/4!) + (x^6/6!) -...
STEP TWO: Multiply both the power series of e^-x^2 and Cos x together because we are to determine or find the first three nonzero terms in the maclaurin series for the given function.
1 - (x^2) + ( x^4/2! ) - (x^6/3!) +... - 1 - (x^2/2!) + x^4/4!) + (x^6/6!) -...
= 1 - ( 3x^2/2) + (25x^4/24).
= 1, - ( 3x^2/2) , + (25x^4/24) => comma- separated list.
According to Pew Research, 64% of American believe that fake news causes a great deal of confusion.Twenty Americans are selected at random.
Albert's Cafe uses 5 bags of coffee every day. How many days will 5/8 of a bag of coffee last?
Answer:
1 day.
Step-by-step explanation:
Given:
Albert's cafe uses 5 bags of coffee every day.
Required:
How many days will 5/8 bag of coffee last?
'How many days will 5/8 bag of coffee last?'
In this sentence we can see that there are 8 bags of coffee. The question in other words is Albert's Cafe is using 5 bags of coffee out of the 8 bags of coffee, and how many days will these last.
In the given we can see that the Cafe uses 5 bags of coffee per day, so the answer is 1 day.
Hope this helps ;) ❤❤❤
Determine the amount of paint required to cover a wall that is 11feet high and 15feet wide, if the wall has two rectangular windows (which are not to be painted), each measuring 3feet by 7feet.
Answer:
123 Square Feet. Of Paint. Probably gonna take a little more than a sample-size quart, let me know how it turns out.
Step-by-step explanation:
You would need 11*15=165 square feet of paint. BUT
You need 42 less square feet, because there are 2, 7*3=21 square-foot windows.
165-42
i know the answer i just need the working! please help...
=====================================================
Work Shown:
A = mass, in kg, of 1 apple
B = mass, in kg, of 1 empty basket
10A = mass of 10 apples
10A+B = mass of 10 apples and basket = 0.5
35A = mass of 35 apples
35A + B = mass of 35 apples and basket = 1.05
The system of equations we have is
[tex]\begin{cases}10A+B = 0.5\\35A+B = 1.05\end{cases}[/tex]
There are a number of ways to solve. As the top left corner of your paper indicates, we can use a matrix to solve. Either using row reduction or matrix inverse math.
We could also use elimination which I find easiest in this case. I'll use that method. Subtract the equations straight down. Note how the B terms become B-B = 0B = 0 which go away. The A terms become 10A-35A = -25A, and the terms on the right hand side become 0.5-1.05 = -0.55
--------
We're left with the equation
-25A = -0.55
Divide both sides by -25 to isolate A
A = -0.55/(-25)
A = 0.022
The mass of one apple is 0.022 kg
--------
Use this value of A to find B
10A + B = 0.5
10*0.022 + B = 0.5
0.22 + B = 0.5
B = 0.5 - 0.22
B = 0.28
Or we could use the other equation to solve for B
35A + B = 1.05
35(0.022) + B = 1.05
0.77 + B = 1.05
B = 1.05 - 0.77
B = 0.28
Either way, the empty basket's mass is 0.28 kg
We wish to estimate what percent of adult residents in a certain county are parents. Out of 500 adult residents sampled, 175 had kids. Based on this, construct a 99% confidence interval for the proportion p of adult residents who are parents in this county. Express your answer in tri-inequality form. Give your answers as decimals, to three places.
Answer:
The 99% confidence interval is [tex]0.3003 < I < 0.3997[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 500[/tex]
The the number that are parents x = 175
The proportion of parents is mathematically represented as
[tex]\r p = \frac{x}{n}[/tex]
substituting values
[tex]\r p = \frac{175}{500}[/tex]
[tex]\r p = 0.35[/tex]
The level of confidence is given as 99% which implies that the level of significance is
[tex]\alpha = 100 - 99[/tex]
[tex]\alpha =[/tex]1%
[tex]\alpha = 0.01[/tex]
The critical value for this level of significance is obtained from the table of critical value as
[tex]t_{x, \alpha } = t_{175, 0.05} = 2.33[/tex]
Generally the margin of error is mathematically evaluated as
[tex]M =\frac{ t_{175, 0.01 } * \sqrt{\r p (1-\r p)} }{\sqrt{n} }[/tex]
substituting values
[tex]M =\frac{ 2.33 * \sqrt{\r 0.35 (1-0.35)} }{\sqrt{500} }[/tex]
[tex]M = 0.0497[/tex]
Generally the 99% confidence interval is mathematically represented as
[tex]I = \r p \pm M[/tex]
[tex]\r p -M < I < \r p + M[/tex]
substituting values
[tex]0.35 -0.0497 < I < 0.35 + 0.0497[/tex]
[tex]0.3003 < I < 0.3997[/tex]
Find the average rate of change of the function f(x), represented by the graph, over the interval [-4, -1]. Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula . The value of f(-1) is . The value of f(-4) is . The average rate of change of f(x) over the interval [-4, -1] is .
Answer:
2
Step-by-step explanation:
We are given that a graph which represents f(x).
Interval:[-4,-1]
We have to find the average rate of change of the function f(x).
From the graph we can see that
f(-4)=-3
f(-1)=3
We know that the average rate of change of the function
Average rate =[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Using the formula
Average rate of change of f=[tex]\frac{3-(-3)}{-1-(-4)}[/tex]
Average rate of change of f=[tex]\frac{6}{3}=2[/tex]
A political action committee is interested in the proportion of all registered voters who will vote "Yes" on a measure to expand the use of solar energy. Match the vocabulary word with its corresponding example.
__________The proportion of registered voters who will vote Yes on the measure.
__________The 1000 registered voters who participated in the study.
__________The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.
_________Yes or No for each registered voter All registered voters in the US
_________The list of Yes and No answers that were given by the 1000 participants in the study
a. Sample
b. Statistic
c. Parameter
d. Data
e. Variable
f. Population
Answer: parameter: The proportion of registered voters who will vote Yes on the measure.
Sample: The 1000 registered voters who participated in the study.
Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.
Variable: Yes or No for each registered voter
Population: All registered voters in the US
Data: The list of Yes and No answers that were given by the 1000 participants in the study.
Step-by-step explanation:
Definitions of the given terms:
Population: Large groups of individuals having similar characteristics as per the researcher's point of view.Sample: It is a subset of the population used to represent it.Parameter: Measure of particular characteristics in the population. Statistic: Measure of particular characteristics in the sample.Variable: Characteristics that vary.Data: A collected information facts and statistics.Hence, by using the above definitions, we have
Parameter: The proportion of registered voters who will vote Yes on the measure.Sample: The 1000 registered voters who participated in the study. Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.Variable: Yes or No for each registered voter.Population: All registered voters in the US. Data: The list of Yes and No answers that were given by the 1000 participants in the study.