Using confidence interval concepts, it is found that:
The margin of error is of b) 2%.Increasing the sample size, b) the margin of error decreases.What is the margin of error of a confidence interval and how it relates to the sample size?Given a confidence interval with two bounds a and b, the margin of error is half the difference of the two bounds.
So, for an interval that is (8%, 12%), the margin of error is given by:
M = (12 - 8)/2 = 2%.
Which means that for the first question, option B is correct.
Additionally, an increase in the sample size results in a decrease of the margin of error, which means that for the second question, option B is also correct.
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The length of a rectangle is 3 feet longer than its width.
If the perimeter of the rectangle is 54 feet, find its length and width.
Answer:
Length = 15ft
Width = 12ft
Step-by-step explanation:
First, re-read the problem until you acknowledge it and can put it into your own words.
This is what I did:
Find the area of a rectangle by first finding the length and the width. Note that:
L = Length
W = Width
Find L and W
We will need formula:
P=2L+2W
A=LW
The length of a rectangle is 3 ft longer than its width :
L = 3 + W Equation [1]
"the perimeter of the rectangle is 30 ft" means
P = 54 Equation [2]
P = 54 = 2L + 2W
54 = 2(3+W) + 2W
54 = 6 + 2W + 2W
54 = 6 + 4W
48 + 4w
12 ft = w
L = 3 + W
L = 3 + 12
L = 15 ft
Area if needed
A = L*W
A = (12 ft)*(15 ft)
A = 180 sq ft
Kavinsky
What is the value of 5 in 50.14
Answer:
5 is in hundreds place, 0 is in the tens place, 1 is in the tenths place and 4 is in the hundreths place.
Step-by-step explanation:
4x+4=2x-6 solve for x homework due for tomorrow
Answer:
-5[tex] \: [/tex]
Step-by-step explanation:
[tex] \: [/tex]
Given Equation,
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+4=2x-6}}}}}}} \\ \\[/tex]
Subtracting 4 from both sides we get :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+4 - 4=2x-6 - 4}}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 4x=2x-10}}}}}}} \\ \\[/tex]
Subtracting 2x from both sides we get :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x - 2x= 2x-10 - 2x}}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 2x= -10 }}}}}}} \\ \\[/tex]
Dividing 2 from both sides we get :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { \frac{2x}{2} = - \frac{10}{2} }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak { x= -5 }}}}}}} \\ \\[/tex]
Therefore,
The value of x is -5Which triangle below represents a
90° rotation about the origin?
Answer:
Because of the ratio in 2 becomes 3-1 is 2
a prism is completely filled with 96 cubes that have edge lengths of 1/2 cm. What is the volume of the prism?
Enter your answer in the box.
Answer:
12 cubic cm
Step-by-step explanation:
[tex]V_{1\: cube} = \bigg( \frac{1}{2} \bigg )^{3} = \frac{1}{8} \: {cm}^{3} \\ \\ \implies \:V_{96\: cubes} = 96 \times \frac{1}{8} \: {cm}^{3} = 12\: {cm}^{3} [/tex]
It is given that: prism is completely filled with 96 cubes.
[tex]\implies \: V_{prism} =V_{96\: cubes}[/tex]
[tex]\implies \: \huge \red{V_{prism} = 12\: {cm}^{3}}[/tex]
The chart above shows the results of survey taken by a movie theater the theater asked what genre the movie goers preferred to see if the theater owner asked 100 people how many people would prefer drama? Round to the nearest whole number show your work
Answer:
The Cost of operating the theater if there are 100 people at a show is 20,000Rs.
Step-by-step explanation:
Theater is a place where the movies are shown in big screens and Speakers are used for the clear audio of the movie.
In a theater there will be 3 to 4 shows for a movie or different movie.
Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.
Consider a ticket cost of 200rs. For 100 people in a show ,
Cost = 200 × 100
Cost = 20,000.
Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.
The Cost of operating the theater if there are 100 people at a show is 20,000Rs.
The theater is a place where the movies are shown on big screens and Speakers are used for the clear audio of the movie.
In a theater, there will be 3 to 4 shows for a movie or a different movie.
Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.
What is the meaning of cost?
The average cost of a college education has gone up dramatically.
Consider a ticket cost of 200rs.
For 100 people in a show,
Cost = 200 × 100
Cost = 20,000.
Hence the cost of operating a theater if there are 100 people at a show is 20,000Rs.
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It takes staff members 162 minutes total each night to clean all six ovens. If each staff
member works for 18 minutes, how many staff members does it take to clean the
ovens?
Answer:
9
Step-by-step explanation:
If it takes 162 minutes each night to clean all 6 ovens, and each staff member works for 18 minutes each then we have to use division to find out how many staff members it will take to clean the ovens.
First we have to divide 162 by 18 which equals 9. This is a one step problem, so 9 is the answer.
It will take 9 staff members to clean all 6 ovens.
Happy Holidays
It takes 9 staff members to clean all six ovens, with each staff member working for 18 minutes.
Given that total cleaning time is 162 minutes
Time per staff member is 18 minutes
To find the number of staff members (N), we divide the total cleaning time by the time per staff member:
N = Total cleaning time / Time per staff member
N = 162 minutes / 18 minutes
N = 9
Therefore, it takes 9 staff members to clean all six ovens, with each staff member working for 18 minutes.
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X^2 + 18x + 81 = 25
what are the solutions
Answer:
Step-by-step explanation:
use quadratic formula answers -4,-14
Select the correct answer.
Solve the quadratic equation below.
Answer:
First choice
Step-by-step explanation:
X= - 2/3; - 20/9
please help!!!
A store is advertising a sale with 15% off all prices in the store.
Sales tax is 8%.
Which expressions represent the total cost of buying an item with an original price of p, after the discount and sales tax are included?
A. 1.08p - 0.15p
B. 1.15p + 0.08p
C. 1.08(0.85p)
D .85p + (0.08)(0.85p)
E. p - 0.15p + 0.08p
Answer:
D
Step-by-step explanation:
im too lazy to type so i write it out instead
Help help help math math
Answer:
48
Step-by-step explanation:
just multiply 16 x 3 and you will your answer
Answer:
48 Oz.
please make this answer brainliest If I helped you!
Step-by-step explanation:
1lb = 16 Oz.
3lb = 48 Oz.
16x1=16
16×3=48
. Write an expression equivalent to 3w - 3w + 3w with just one term. - What property or properties applies?
Answer:
w(3-3+3)
Step-by-step explanation:
distibutitve property
Question content area top
Part 1
An airplane on autopilot took 5 hours to travel 3,475 kilometers. What is the unit rate for kilometers per hour?
Answer:
695
Step-by-step explanation:
A prism is completely filled with 96 cubes that have edge length of 1 cm. What is the volume of the prism? Enter your answer in the box. . 412 cm
Answer:
96
y-step explanation:
volume of 1cm cubes = 1 x 1 x 1 = 1 cm^3
so it will take 96 cubes to fill the prism
What is the slope of
the line?
Give your answer as
a fraction in simplest
form.
Answer:
3/4
Step-by-step explanation:
The answer is 3/4, because we rise 3 and run 4 the formula is always rise over run, and thats why its 3/4
Hoped this helped!!
Algebra Find the value of x.
Answer:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.y-step explanation:
Round -13.457 to nearest integer
Answer:
Answer:
-13
Step-by-step explanation
Rounded to the nearest 0.01 or
the Hundredths Place.
5
The length of each small square is
½inch.
What is the area of the rectangle?
A.
5 square inch
64
B.
5
16
square inch
C.
oo square inches
D. 2, square inches
Answer:5/16 sq inch
Step-by-step explanation:
muliply heigh by width
4/8 times 5/8
find the area of a circle whose radius is 14cm
Answer:
Formula for area of circle;
A = π[tex]r^{2}[/tex]
Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius which is being squared.
What we know:
Radius = 14cmPlug in what we know;
A = π[tex]r^{2}[/tex]
(For pi I'll be using 3.14 instead of 22/7)
A = 3.14(14^2) ← (The symbol ' ^ ' means to the power of.)
A = 3.14(196)
A = 615.44, 615.44 centimetres is the area of this circle.
Answer:
≈[tex]615.44cm^2[/tex]
Step-by-step explanation:
So the equation for area of circle.
[tex]\pi r^2\\\pi 14^2[/tex]
So 14^2, or 14 x 14 is 196.
Now you can either keep it in terms of pi, 196pi, or times it by pi.
[tex]196*pi\\196*3.14\\615.44[/tex]
So the answer would be around 615.44cm^2
Write an equation to represent the following statement. jjj divided by 999 is 555. Solve for jjj. j=j=j, equals
Answer:
j ÷ 9 = 5
Step-by-step explanation:
If the statement says, j divided by 9 is 5, it is obvious you are dividing in this situation.
So the equation is, j ÷ 9 = 5
The next part says solve for j.
This part is pretty easy; all you have to do is do the opposite operation and multiply 9 by 5.
So, j = 45
What is the volume of this prism?
Answer:
56.25 units^3
Step-by-step explanation:
To find the volume, multiply the three dimensions
3.75 * 3 * 5 =
A coach brought 4 quarts of a sports drink to a game. At the end of the game, only 3 cups remained. How many cups of sports drink did the players drink during the game?
Answer:
the sports players drank 13 cups
Step-by-step explanation:
1 cup equals 0.25 quarts which means 1 quart would equal 4 cups. This means there were 16 cups in total during the game. If there were only 3 cups left afterwards, that means 13 of the 16 cups were taken.
25 points! Please help! Will give brainliest to correct answer!
Answer:
I think AC is 6.
Step-by-step explanation:
This looks like an equilateral triangle so that means because there is a 3 on one side of the line it should be the same on the other side of the line so 3 x 2 = 6.
Step-by-step explanation:
[tex]triangle \: abd \\ using \: pythagoras \: theorem \\ {hyp}^{2} = {adj}^{2} + {opp}^{2} \\ {12}^{2} = {3}^{2} + {opp}^{2} \\ 144 = 9 + {x}^{2} \\ 144 - 9 = {x}^{2} \\ 135 = {x}^{2} \\ take \: the \: square \: of \: both \: sides \\x = 11.62[/tex]
using the opposite side of triangle and
[tex]using \: pythagoras \: theorem \\ {16}^{2} = {11.62}^{2} + {x}^{2} \\ 256 = 135.02 + {x}^{2} \\ 256 - 135.02 = {x}^{2} \\ 120.198 = {x}^{2} \\ take \: the \: roots \: of \: both \: sides \\ x = 10.96[/tex]
therefore the length of line AC
[tex] = 3 + 10.96 \\ = 13.96[/tex]
hope this helps
F(x) = x+2-3 choose correct transformation
If 8 pounds of ground beef cost $10.32, how much would 12 pounds cost?
Answer:
$15.48 for 12 lbs
Step-by-step explanation:
Check photo for work
The 12 pounds of ground beef cost is $15.48.
What is unitary method ?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
8 pounds of ground beef cost $10.32
i.e 8 pounds of ground beef = $10.32
1 pounds of ground beef = [tex]\frac{10.32}{8}[/tex]
1 pounds of ground beef = $1.29
Therefore,
12 pounds of ground beef = 1.29*12
12 pounds of ground beef = $15.48
Hence, 12 pounds of ground beef is of $15.48.
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There is a bag containing 7 red marbles, 2 blue marbles, 8 green marble and 12 yellow marbles. Rodolfo Ronaldo will choose 3 marbles without replacement. How many possible outcomes does this experiment have?
Answer:
22707
Step-by-step explanation:
If the function f(x) = 5(2x) is squared, which function is produced?
The function is a linear function, and the equation of the function when squared is (f(x))² =25(4x²)
How to determine the new function?The equation of the function is given as:
f(x) = 5(2x)
When the function is squared, we have:
(f(x))² =(5(2x))²
Evaluate the exponent
(f(x))² =25(4x²)
Hence, the equation of the function when squared is (f(x))² =25(4x²)
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231 - 7a = 98
How to solve this
Answer:
19
Step-by-step explanation:
231 - 7a = 98 = -7a + 231 = 98
Subtract 231 from both sides to get -7a = -133
Divide by -7 on both sides to get a = 19
Answer:
a = 19 is the correct solution.
Step-by-step explanation:
Step 1 : Start by simplifying both sides of the problem.
231 − 7a = 98
231 + − 7a = 98
−7a + 231 = 98
Step 2 : Next step is to subtract 231 from both sides
−7a + 231 − 231 = 98 − 231
−7a = −133
Step 3: Finally, divide both sides by -7.
( When I use the symbol /, it signifies I'm dividing.)
-7a/-7 = -133/-7
-133 divided by -7 equals 19
This shows that a = 19. I hope this helps! :D
Find the indicated measures, given that EA is a diameter
a) mDEF =
b) mEFG =
c) mAC=
d) Explain how you found each angle measure below. Be sure to show all of your work.
Using the knowledge of the measure of a semicircle, the measures in the circle given are:
a. m(DEF) = 152°
b. m(EFG) = 70°
c. m(CA) = 28°
What is the Measure of a Semicircle?Half of a circle is a semicircle = 180°.
Given the following:
m(CDE) = 152°m(FG) = 31°m(AG) = 110°m(DC) = m(EF) = 180 - 110 - 31 = 39° (semicircle)a. m(DEF) = [m(CDE) - m(DC)] + [m(EF)]
m(DEF) = (152 - 39) + 39
m(DEF) = 152°
b. m(EFG) = m(EF) + m(FG)
m(EFG) = 39 + 31 = 70°
c. m(CA) = 180 - 152 (semicircle)
m(CA) = 28°
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Coach Morrison used the graph below to track the total miles the girl’s and boy’s track teams ran each day for a week.