Answer:
The minimum sample size required is 1068.
Step-by-step explanation:
The complete question is:
A researcher wishes to estimate, with 95% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 3% of the population proportion.
No preliminary estimate is available. Find the minimum sample size needed.
Solution:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The information provided is:
[tex]MOE=0.03\\\text{Confidence level}=95\%[/tex]
Assume that the sample proportion is 50%.
The critical value of z is, 1.96.
Compute the minimum sample size required as follows:
[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\cdot \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]
[tex]=[\frac{1.96\times\sqrt{0.50(1-0.50)}}{0.03}]^{2}\\\\=1067.1111\\\\\approx 1068[/tex]
Thus, the minimum sample size required is 1068.
Please someone help me
Answer:
D
Step-by-step explanation:
Answer:
uhh what kinda symbols r those
Step-by-step explanation:
A salad lettuce,tomatoes,and onions would be classified as a
PLEASE HELP ME I AM PAYING 100 POINTS!!
Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.
1. Find the total tax using the expanded expression. Did you get the same answer as you did by evaluating the original expression?
Write your answer in the space below.
2. Which expression, the original expression or the expanded expression, involves finding the total cost first, then calculating the tax on that total?
Write your answer in the space below.
no scams!
Decrease £14132.77 by 14.5%
Give your answer rounded to 2 DP
Answer:
£12083.52
Step-by-step explanation:
Given amount:
Amount = £14132.77
Percentage decrease = 14.5%
Solution:
To decrease the given amount by 14.5% implies multiply it by:
[tex]\frac{100-14.5}{100}[/tex] = 0.855
Now;
Decreased amount = £14132.77 x 0.855
Decreased amount = £12083.52
Figure A is a scale image of Figure B.
A
11
1
Figure A
10
Figure B
What is the value of x?
9514 1404 393
Answer:
x = 4.4
Step-by-step explanation:
The longer side is 11/10 times the length of the shorter one:
x = (11/10)(4) = 4.4 . . . units
2700 is a perfect cube. True/False?
Answer: False
Step-by-step explanation:
Answer:
It is false hope this will be
Please help me out i don’t know what right and left is!!! please tell me :(((
Answer:
put your fingers out in the shape of L's. Which ever finger has the L facing the proper way, is left, and the other is right.
Step-by-step explanation:
The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books
Answer:
22 cm
Step-by-step explanation:
Start off by multiplying the number of pages by the thickness.
200*0.008=1.6
Add the thickness of the front and back cover.
1.6+0.6=2.2
Multiply by 10.
2.2*10=22 cm
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,
The thickness of a single book
= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)
= (2 × 0.3cm) + (200 × 0.008cm)
= 2.2 cm
Now, the thickness of 10 books will be,
The thickness of 10 books = 10 × the Thickness of a single book
= 10 × 2.2 cm
= 22 cm
Hence, the height of the 10 stacks of books is 22cm.
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If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.
JKLM is a trapezoid. Statements A and E are correct.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.
These are the actual statements:
(a) J is supplementary to K
(e) KL is parallel to JM
Hence, statements A and E are correct.
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What is the square root for this numberZ
The sum of the ages of Martin and his son Sherwin is 47 years. Martin's age is 2 years more than 4 times the
age of Sherwin. Find their present age.
Answer:
In the picture above it shows how to answer the questions step by step. If there's a mistake, pls inform me.
You and your friend are trying to meet up at the park. You are currently 256 m directly west from the centre of the park. Your friend is currently 388 m directly north from the centre of the park. What is the distance between you and your friend?
Answer:
The distance between the two is 465 meters
Step-by-step explanation:
We first need to set up a triangle that shows the relative position and distances of the two friends
Please check attachment for this
To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem
Mathematically;
Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
D^2 = 256^2 + 388^2
D^2 = 216,080
D = √216,080
D = 464.84 which is approximately 465 m
You are pouring 50 pounds of sand into a wagon. The linear function y= 10x represents the weight y (in pounds) of the sand in the wagon after you have poured x bags of sand into the wagon. Which graph represents the situation?
Answer:
You have 50 lb of sand, and you are pouring this into a wagon.
We have the relationship:
y = 10lb*x
Where x is the number of bags of sand that you poured into the wagon.
We know that in total, you have 50 lb of sand, then let's find the domain of this function (Domain is the set of the possible values of x)
The minimum will be when x = 0, you poured 0 bags at this point.
And the maximium will be when y = 50lb
y = 50lb = 10lb*x
50lb/10lb = x = 5
Then the domain is 0 ≤ x ≤ 5
Then we only will graph this in that range of values.
The graph will be something like:
Liana is studying the activity of nurse sharks. She starts at a position that is 25 feet below sea level. She rises 9 feet, then descends 12 feet to take a photo of a sleeping shark. Find her position relative to sea level when she took the photo.
Answer:
I believe the answer is -28
Step-by-step explanation
I gotchu bro
The answer is -28 because Liana starts at 25 below sea level (which is the same thing as -25) If she rises 9 feet, then you know to add because she is going up so your just gonna add. Next she descends 12 feet, so she went down, so subtract. So i know the answer is going to be -28 because -25+9 is -16, then imma subtract -16 and 12 so, -16 - 12= -28. There ye go
Which function is linear?
A. 9y+3=0
B. Y-4x=1
C. Y=2+6x⁴
D. X-2y=7
E. X/y+1=2
Answer:the answer is A
Step-by-step explanation:
In the 48 years between 1842, the average rate of erosion at horseshoe falls was 33 divided by 50 metre per year. In the 22 years between 1905 and 1927 the rate of erosion was 7 divided by 10 meter per year . Approximately how much total erosion occurred during these two time periods
Answer:
47. 08 meters
Step-by-step explanation:
Given that:
In 48 years between 1842 :
Rate of erosion = 33/50 meters per year
Between 1905 - 1927 (22 years)
Rate of erosion = 7/10 meters per year
Approximately how much total erosion occurred during these two time periods ;
Total erosion that occured within 1842:
Rate of erosion * number of years
(33/50)m * 48
0.66 meters * 48
= 31.68 meters
Total erosion that occured between 1905 - 1927:
Rate of erosion * number of years
(7/10)m * 22
0.7 meters * 22
= 15.40 meters
total erosion which occurred during these two time periods ;
31.68 meters + 15.40 meters
= 47.08 meters
Answer:
47. 08 meters
Step-by-step explanation:
Given that:
In 48 years between 1842 :
Rate of erosion = 33/50 meters per year
Between 1905 - 1927 (22 years)
Rate of erosion = 7/10 meters per year
Approximately how much total erosion occurred during these two time periods ;
Total erosion that occured within 1842:
Rate of erosion * number of years
(33/50)m * 48
0.66 meters * 48
= 31.68 meters
Total erosion that occured between 1905 - 1927:
Rate of erosion * number of years
(7/10)m * 22
0.7 meters * 22
= 15.40 meters
total erosion which occurred during these two time periods ;
31.68 meters + 15.40 meters
= 47.08 metersStep-by-step explanation:
What inequality is represented by this graph?
Answer:
I believe it would be B
Step-by-step explanation:
im not good at explaining, but basically that would make the most sense, forgive me if im wrong, im not good at math TwT
It took Jodi 4 hours to run 2/3 miles. How many miles will Jodi run if he runs for 2 hours?
Solve for the line, Thank you!
(ASAP) please help with both questions!!!!
i will mark brainliest!!!
Answer:
a||b the first one. A (-2, 0) B (0, -4) C (4, -6) D (2, -2)
Step-by-step explanation:
If you reflect over the y-axis you will change the y in the coordinate. (x, y) If it is positive you will make it negative and if it is negative you will make it positive.
I can evaluate functions in function notation (12B)
I can graph linear functions on a coordinate plane (30)
17. h(x)= 72 x-25, find h(-6)
18. g(x) = 5x2 + 4x - 3, find g(2)
(17)
Answer:
[tex]h(-6) = -457[/tex]
Step-by-step explanation:
Given the function
[tex]h(x)= 72 x-25[/tex]
Put [tex]h = -6[/tex] to in the function
[tex]h(x)= 72 x-25[/tex]
[tex]h\left(-6\right)=\:72\left(-6\right)-25[/tex]
[tex]=-432-25[/tex]
[tex]=-457[/tex]
Therefore,
[tex]h(-6) = -457[/tex]
(18)
Answer:
[tex]g(2)=25[/tex]
Step-by-step explanation:
Given the function
[tex]g\left(x\right)\:=\:5x^2\:+\:4x\:-\:3[/tex]
[tex]g\left(2\right)\:=\:5\left(2\right)^2\:+\:4\left(2\right)\:-\:3[/tex]
[tex]= 20 + 8 - 3[/tex]
[tex]= 25[/tex]
Therefore,
[tex]g(2)=25[/tex]
Find the slope I’m sorry I need help with this one I’m finding the answer but don’t understand it sorry
Algebra 1
Solve for n.
-1 sn + 12 < 19
Write your answer as a compound inequality with integers.
Answer:
i think the answer is -7/s
Step-by-step explanation:
Let's solve for n.
(−1s)(n)+12<19
Step 1: Add -12 to both sides.
−ns+12+−12<19+−12
−ns<7
Step 2: Divide both sides by -s.
−ns
−s
<
7
−s
n>
−7
s
Answer:
n>
−7
s
Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE
Answer:
12 dimes
Step-by-step explanation:
1 dollar= 4 quarters
1 dime=10 cents
3.45-1.20=2.25
2 dollars= 8 quarters
2.25-2.20=.25
1 quarter=.25
SOOOO your answer is 12 dimes
The perimeter of a rectangular parking lot is 312m .
If the length of the parking lot is 95 m, what is its width?
Answer:
61 meters
Step-by-step explanation:
The perimeter of a rectangle is 2l + 2w, l being the length and w being the width. Substitute the known value into the equation and solve:
312 = 2(95) + 2w
312 = 190 + 2w
122 = 2w
w = 61
Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent the total number of inches of water in the rain-catcher after x days. Express the equation in the form of y=mx+b .
Answer:
y= 3x + 8
Step-by-step explanation:
y = mx + b
m = 3 inches of water added each day
x = 8 inches of water at start
y= 3x + 8 is the required equation.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.
We have,
m = 3 inches of water added each day
x = 8 inches of water at start
Converting in y = mx + b, we get,
y = 3x+8
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Guessing the initial of a students middle name
Answer:
1/26
Step-by-step explanation:
Help me please it’s due today
Answer:RTP,NM, X=7
Step-by-step explanation:
Tinanatamad akong isulat ang step by step sorry
Write the slope intercept form of the line that goes through points (5,6) and (2, 15)
Answer:
[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]
A line passes through (2, -1) with slope 3.
What is the equation of the line in point-slope form?
A. y - 1 = 3(x + 2)
B. 3(y + 2) = x - 1
C. y - 2 = ( 1/3 x + 1)
D y + 1 = 3(x - 2)