At the 95% confidence level, the margin of error for this survey, expressed as a proportion, is approximately 0.0288.
To calculate the margin of error for a survey expressed as a proportion, we need to use the formula:
Margin of Error = Critical Value [tex]\times[/tex] Standard Error
First, let's find the critical value.
For a 95% confidence level, we can refer to the standard normal distribution (Z-distribution) and find the z-value associated with a 95% confidence level.
The critical value for a 95% confidence level is approximately 1.96.
Next, we need to calculate the standard error.
The standard error for a proportion can be computed using the formula:
Standard Error [tex]= \sqrt{((p \times (1 - p)) / n)}[/tex]
Where:
p = proportion of respondents in favor of the plan
n = sample size
In this case, the proportion in favor of the plan is 37/185 = 0.2 (rounded to the nearest thousandth).
The sample size is 185.
Now we can calculate the standard error:
Standard Error [tex]= \sqrt{((0.2 \times (1 - 0.2)) / 185)}[/tex]
Simplifying further:
Standard Error ≈ [tex]\sqrt{((0.04) / 185)}[/tex]
Standard Error ≈ [tex]\sqrt{(0.0002162)}[/tex]
Standard Error ≈ 0.0147 (rounded to the nearest thousandth)
Finally, we can calculate the margin of error:
Margin of Error = 1.96 [tex]\times[/tex] 0.0147
Margin of Error ≈ 0.0288 (rounded to the nearest thousandth)
For similar question on confidence level.
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The path of a projectile launched from a 26-ft-tall tower is modeled by the equation y = −16t2 + 64t + 26. What is the maximum height, in feet, reached by the projectile?
Answer:
The maximum height of the projectile is 90 ft
Step-by-step explanation:
Here, we want to get the maximum height reached by the projectile
The answer here will be the y-coordinate value of the vertex form of the given equation
so firstly, we have to write the equation in the vertex form
We have this as;
y = -16t^2 + 64t + 26
That will be;
y = a(x-h)^2 + k
y = -16(x-2)^2 + 90
where the vertex of the equation is;
(-h,k)
K
in this case is 90 and thus, that is the maximum height of the projectile
help please. A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which
graph has a slope that best represents the ratio of orange juice to pineapple juice in this
bottle?
Juice
Juice
у
20
Amount of
Orange Juice (fl oz)
Amount of
Orange Juice (fl oz)
X
x х
0 2 4 6
8 10
Amount of
Pineapple Juice (fl oz)
0 2. 4 6 8 10
Amount of
Pineapple Juice (fl oz)
Juice
Juice
Amount of
Orange Juice (fl oz)
Amount of
Orange Juice (fl oz)
X
0 2 4 6 8 10
Amount of
Pineapple Juice (fl oz)
0 2 4 6 8 10
Amount of
Pineapple Juice (fl oz)
Answer:
option B. G
Step-by-step explanation:
Let
y ---->ounces of orange juice
x ---> ounces of pineapple juice
we know that
The ratio of orange juice to pineapple juice is equal to
substitute the given values
simplify
Verify each graph
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
we have
that means
5 ounces of orange juice per 3 ounces of pineapple juice
Graph F
The slope is
Graph G
The slope is
Graph H
The slope is
Graph J
The slope is
The value of 2 is the value closest to 1.67
therefore
The graph that has a slope that best represents the ratio of orange juice to pineapple juice is Graph GStep-by-step explanation:
The ratio of orange juice to pineapple juice in this bottle is 5: 3, so the correct option is G.
Given that a bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice, to determine which graph has a slope that best represents the ratio of orange juice to pineapple juice in this bottle, the following calculation must be performed:
30/18 = Major Common Divisor is 6 (30/6) / (18/6) = X 5/3 = X
Therefore, the ratio of orange juice to pineapple juice in this bottle is 5: 3, so the correct option is G.
Learn more in https://brainly.com/question/13419413
4/3 (3.14) (8.5^3)
≈ 2571.13
= 2571. 1
Its says its wrong. What did I did wrong?
Answer: 4/3 (3.14) (8.5^3) = 771341/ 300 = 2571 41/ 300 ≅ 2571.1366667 this is what i got when i did it
Step-by-step explanation:
what is 2x+5=y and 5x+4=y pls hurry
Answer:
( 1/3, 5 2/3) Or (0.33, 5.66)
Step-by-step explanation:
If you graph the 2 equations and see where they intersect, they will land on the answer.
plz plz plz plz plz HELP
Answer:
About $19.06
Step-by-step explanation:
25% of 23.98 is 5.995
23.98-5.995=17.985
6% of 17.985 is 1.0791
17.985+1.0791 is 19.0641,
which is $19.06
Brainliest?
David has 5 yellow, 3 green, and 2 red gumballs in a bag. He takes out two at random and does replace them. A) What is the probability, , that the first gumball is green and the second is red? .
A graph of a system of two equations is shown.
What is the solution of the system? HELP!!!!!
Answer:
can you just mark me brainleyest.
Step-by-step explanation:
If a room is measured to be 8 yards plus an extra 3 feet long, how many total feet is the room?
Answer:
27
Step-by-step explanation:
1 yard = 3 feet
8 x 3 = 24
24 + 3 = 27
Last year, a lighting supplier called Bright Idea shipped a total of 37,220 lamps to its distributors. This year, the supplier shipped 29,776 lamps. What is the percent of decrease in the number of lamps shipped annually?
Answer:
25%
Step-by-step explanation:
Given data
Last years shipment= 37220 lamps
These years shipment= 29776 lamps
% Decrease= Initial-Final/Initial*100
% Decrease= 37220-29776/29776*100
% Decrease= 7444/29776*100
% Decrease= 0.25*100
% Decrease= 25%
Hence the decrease is 25%
How do i do this please
1. 10 1/2
2. 120
3. 12
Hope this helps =]
Marking brainliest
What colors should I add?
Answer:
Maybe some red, lime green, tan-ish brown, blue, crimson, navy blue
Step-by-step explanation:
A small tree was planted at a height of 5 feet. The tree has been planted for 16 months, and is now 61 feet tall. Which equation could
be used to find x, the average number of feet the tree grew each month?
A. 5x + 16 = 61
B.16x + 5 = 61
C. 61x + 5 = 16
D. 16x + 61 = 5
Answer:
B
Step-by-step explanation:
Let a and b be rational numbers.
Answer:
Ok, let me guess... 4 and 5
Step-by-step explanation:
Can y’all help me on this ?
Please help me. And thanks for being so helpful
Answer:
(Cake, Lime)
(Sugar, Strawberry)
(Waffle, Strawberry)
Step-by-step explanation:
Answer:
(cake,lime), (sugar,strawberry), (waffle,strawberry).
Step-by-step explanation:
Find the area of the figure.
40.8 cm2
1128 cm2
47.52 cm2
33.7 cm2
Answer:
answer is 47.52 cm2
Step-by-step explanation:
follow me please
PLEASE HELP DUE TODAY SOVLE BOTH PLSSS
ANSWER AS SOON AS POSSIBLE (NO FILES NO LINKS)
Answer:
Step-by-step explanation:
93 percent because 13 of the20 is Doritos
Answer:
a) 60%
b) 65%
Step-by-step explanation:
a) 30 ÷ 50 × 100 = 0.6 × 100
= 60%
b) 13 ÷ 20 × 100 = 0.65 ×100
= 65%
!!!PLEASE ANSWER QUICK!!!
Student Harrison Anita Juan Krista
Description Harrison shared his video with 7 friends. His friends continued to share it, doubling the number of viewers each day. Anita shared her photo with 41 followers. Each of them shared it with 2 friends, doubling the number of viewers each day. Juan shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate. Krista shared her photo with 6 friends, who each shared it with 3 friends. This pattern continued.
Social Media Shares f(x) = 7(2)x
Day
0
1
2
Viewers
41
82
164 Juan shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate. f(x) = 6(3)x
State which two students you are studying so your instructor knows for whom each partner is responsible.
Provide an exponential function representing Anita's social media shares.
Provide an exponential function representing Juan's social media shares.
Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answers.
Based on your results, which student's post travels the fastest? How is this shown in the equation form of the functions?
If you had to choose, would you prefer a post with fewer friends initially but more shares or more friends initially but fewer shares? Does your partner agree or disagree? Can you think of reasons why more or fewer shares are preferable? Justify your answer with your calculations from previous questions.
Answer:
Anita: f(x)=42(2)^x. 3. Juan: f(x)=3^x. 4. Harrison: f(x)=5(2)^x = f(3)=5(2)^3=5(8)=40
Step-by-step explanation:
Answer:
Step-by-step explanation:
Make sure you are dealing with the same values in your directions.
1. State which two students you are studying so your instructor knows for whom each partner is responsible. Harrison and Anita
2. Provide an exponential function representing Anita's social media shares.
f(x)= 41(2)^x
3. Provide an exponential function representing Juan's social media shares.
f(x)= 4^x
4. Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answers.
Harrison
f(x) =7(2)^x = f(3) = 7(2)^3 = 7(8) = 56
f(x) =7(2)^10 = f(10) = 7(2)^10 = 7(1024) = 7,168
Anita
f(x)= 41(2)^x = f(3) = 41(2)^3 = 41(8) = 328
f(x) =41(2)^10 = f(10) = 41(2)^10 = 41(1024) = 41,984
5. Based on your results, which student's post travels the fastest? How is this shown in the equation form of the functions?
Between students Harrison and Anita the post that travels the fastest was Anita at 41,984 posts.
f(x) = 41(2)^10
6. If you had to choose, would you prefer a post with fewer friends initially but more shares or more friends initially but fewer shares? Does your partner agree or disagree? Can you think of reasons why more or fewer shares are preferable? Justify your answer with your calculations from previous questions.
Fewer friends initially but more shares. If you want a post to go viral you want more shares with more people. The post was viewed 41,984 times in 10 days.
This represents sharing with 2 friends for 3 days.
f(x)= 41(2)^x = f(3) = 41(2)^3 = 41(8) = 328
This represents sharing with 2 friends for 10 days.
f(x) =41(2)^10 = f(10) = 41(2)^10 = 41(1024) = 41,984
Two vertices of a rectangle are (-10,-7) and (-10,18) what is the length of this side of the rectangle
can someone help me. its hard
Answer:
complementary angles
Step-by-step explanation:
We know that complementary angles add up to 90 degrees which is andgles a and b.
By the way, can you follow me on Brainly?
Thanks!
Answer:
B. Complementary angles
Step-by-step explanation:
angle a + angle b = 90 degrees
the two angles form a right angle
two angles that add up to 90 degrees are called complementary angles
Q1 (pic 1)
Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals 35.
Question 1 options:
Angle W
Angle Y
Angle C
Angle B
Angle Z
Angle A
Q2 (pic 2)
Triangle ABC is similar to triangle WYZ.
Determine whether the following statement is true or false.
sin(B)>sin(Y)
Question 2 options:
True
False
Answer:
Question 2 = True
I don't know the first question, the test wouldn't tell me:/
Angle C, Angle Z, Angle A, and Angle W are all angles whose cosine equals 35 and the statement that Sin B is greater than Sin Y is false.
What is a similar triangle?The two triangles are said to be similar that have the same proportion of sides and angles.
Corresponding sides are in the same ratio.
a/p = b/q = c/r
In triangle ABC
AB = 5, AC = 3, BC = 4
Cos A = base/ hypotenuse
= 3/5
Cos B = base/ hypotenuse
= 4/5
Cos C = base/ hypotenuse
= 3/5
In triangle WYZ
Cos W = base/ hypotenuse
= 3/5
Cos Z = base/ hypotenuse
= 4/5
Hence, Angle C, Angle Z, Angle A, and Angle W are all angles whose cosine equals 35.
In triangle WYZ
WY = 13
In triangle ABC
CB = 24, AC = 10
Sin B = Perpendicular/ hypotenuse
= 10/26
Sin Y = Perpendicular/ hypotenuse
= 5/13
Since both angles are equal also they are similar to each other.
Therefore, the statement that Sin B is greater than Sin Y is false.
Learn more about similar triangles;
https://brainly.com/question/25813512
Find the figure of the volume
Answer:
1300 ft
Step-by-step explanation:
to calculate volume you multiple LengthxHeightxWidth
20 x 13 x 5 = 1300
-3х-5= 16
What’s the value of x?
Explain
Answer:
x= -7
Step-by-step explanation:
You need to first add 5 to the -5. Even though the - is a subtraction sign, you can still count it as a subtraction sign. In order to balance it out again, so you add the 5 to the 16. 16+5=21, so the equation would be -3x=21. To get x by itself, you divide by -3. So, -3x/-3 and 21/-3. That gets rid of the -3, and you get a -7 as an answer.
please answer will give brainliest!!!!!
which interval in the photo has 7 cyclists??
You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of it or use 3.14 for and enter your answer as a decimal.
T=7
units?
Show Calculator
Answer:
Area = 153.8 cm/ m
Step-by-step explanation:
Area of circle = 22 ÷ 7 × r²
= 22 ÷ 7 × (7²)
= 22 ÷ 7 × 49
= 3.14 × 49
= 153.8 cm/ m
I need this in 5 min plsss
Answer:
x=8
Step-by-step explanation:
Use the equal angle theorem so 3x+18=39. This equals 8 which is our answer.
By the way, can you follow me on Brainly?
Thanks!
Use the quadratic formula to find the roots of x 2 + 2x − 7
Answer:
-1+2[tex]\sqrt{2}[/tex], -1-2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The measure of ABD is (0.18x + 67) degrees and the measure of CBD is (0.07 + 48) degrees. Find the value of X
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]ABD = 0.18x +67[/tex]
[tex]CBD = 0.07x + 48[/tex]
Required
Find x
The question is incomplete as the relationship between ABD and CBD is not stated.
Assume ABD = CBD
The solution is:
[tex]0.18x + 67 = 0.07x + 48[/tex]
Collect like terms
[tex]0.18x - 0.07x= - 67 + 48[/tex]
[tex]0.11x= -19[/tex]
Solve for x
[tex]x = -\frac{19}{0.11}[/tex]
[tex]x = -172.72[/tex]
Assume ABD and CBD are supplementary
The solution is:
[tex]ABD + CBD=180[/tex]
[tex]0.18x + 67 + 0.07x + 48 = 180[/tex]
Collect like terms
[tex]0.18x + 0.07x = - 48 - 67 + 180[/tex]
[tex]0.25x = 65[/tex]
Solve for x
[tex]x = \frac{65}{0.25}[/tex]
[tex]x = 260[/tex]
Assume ABD and CBD are complementary
The solution is:
[tex]ABD + CBD=90[/tex]
[tex]0.18x + 67 + 0.07x + 48 = 90[/tex]
Collect like terms
[tex]0.18x + 0.07x = - 48 - 67 + 90[/tex]
[tex]0.25x = -25[/tex]
Solve for x
[tex]x = \frac{-25}{0.25}[/tex]
[tex]x = -100[/tex]
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A recipe for pie dough calls for a ratio of butter to flour of 4/5 : 3 1/3 . If you plan to use 6 2/3 cups of flour, how much butter should you use to keep the same ratio?
Answer:
1 3/5
Step-by-step explanation:
to determine the answer, take the following steps :
determine how much larger the amount of flour you intend to use is more than that indicated in the recipeMultiply the answer gotten in the above step by the amount of flower indicated in the recipe6 2/3 ÷ 3 1/3
20/3 x 3/10 = 2
2 x 4/5 = 8/5 = 1 3/5
