To create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month, we need to first calculate the sample proportion.
The sample proportion is calculated by dividing the number of adults who ate fast food at least once in the past month (722) by the total number of adults surveyed (1000). This gives us a sample proportion of 0.722.
To calculate the confidence interval, we can use the following formula:
Sample proportion +/- 1.96 * sqrt((Sample proportion * (1 - Sample proportion)) / Sample size)Plugging in the values, we get:
0.722 +/- 1.96 * sqrt((0.722 * (1 - 0.722)) / 1000)This gives us a 95% confidence interval of (0.6901, 0.7539). Rounded to four decimal places, the confidence interval is (0.6901, 0.7539).
Note: To calculate the confidence interval using Excel, you can use the following formula:
=CONFIDENCE.NORM(alpha, standard_dev, size)Where "alpha" is the desired confidence level (e.g., 0.95 for a 95% confidence interval), "standard_dev" is the standard deviation of the sample, and "size" is the sample size. To calculate the standard deviation, you can use the STDEV.P function.
For example, to calculate the lower and upper bounds of the 95% confidence interval, you could use the following formulas:
Lower bound: =CONFIDENCE.NORM(0.95, STDEV.P(A1:A1000), 1000) - (1.96 * STDEV.P(A1:A1000))Upper bound: =CONFIDENCE.NORM(0.95, STDEV.P(A1:A1000), 1000) + (1.96 * STDEV.P(A1:A1000))Where A1:A1000 is a range containing the values "1" for those adults who ate fast food at least once in the past month and "0" for those who did not. This will give you the same result as the manual calculation above.
Learn more about confidence interval here:
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A marketing research company desires to know the mean consumption of milk per week among people over age 45. They believe that the milk consumption has a mean of 4.2 liters, and want to construct a 98% confidence interval with a maximum error of 0.08 liters. Assuming a standard deviation of 0.6 liters, what is the minimum number of people over age 45 they must include in their sample
Answer:
The minimum number of people over age 45 they must include in their sample is 305.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of 0.6 liters
This means that [tex]\sigma = 0.6[/tex]
What is the minimum number of people over age 45 they must include in their sample?
This is n for which M = 0.08. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.08 = 2.327\frac{0.6}{\sqrt{n}}[/tex]
[tex]0.08\sqrt{n} = 2.327*0.6[/tex]
[tex]\sqrt{n} = \frac{2.327*0.6}{0.08}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*0.6}{0.08})^2[/tex]
[tex]n = 304.6[/tex]
Rounding up:
The minimum number of people over age 45 they must include in their sample is 305.
Find the value of Y helpppp
Answer:
y = 4
Step-by-step explanation:
Both the triangles are congruent by SSS postulate.
Therefore,
[tex]4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4[/tex]
Find the area of the sector.
Answer:
D. 158.4 km²
Step-by-step explanation:
Area of sector = θ/360 * πr²
Where,
θ = 150°
r = 11 km
Substitute
Area = 150/360 * π * 11²
Area = 158.38863 ≈ 158.4 km² (nearest tenth)
Please help I’m really struggling!!!!!
9514 1404 393
Answer:
A. x = {nπ, π/4 +nπ}
Step-by-step explanation:
The zero product rule tells you the solutions are found where the factors are zero:
tan(x) = 0 ⇒ x = nπ
tan(x) -1 = 0 ⇒ x = arctan(1) +nπ = π/4 +nπ
_____
When working with functions of trig functions, it is helpful to have an idea of the general shape of their graphs and a few "special" values.
Round 329,167 to the nearest hundred
Answer:
329,200
Step-by-step explanation:
Answer:
329,200
Step-by-step explanation:
Please help I kind of understand but not fully
Answer:
Graph #1 - y=-20x+40
Graph #2 - y=5x+10
Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use
M = y2-y1/x2-x1FROM GRAPH #1:
(3,40) (2,80)(x1,y1) (x2,y2)
80-40/2-3
20/-1
M = -20
FROM GRAPH #2:
(1,10) (3,20)(x1,y1) (x2,y2)
20-10/3-1
10/2
M = 5
2. Now once you find the slope you will use the equation of a line formula to form an equation.
y=mx+bThe (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)
3. Since we now know the equation of a line and the slope we will substitute the variables.
Graph #1:
y=mx+b
y=-20x+40
Graph #2:
y=mx+b
y=5x+10
HOPE THIS HELPS :)The Lazy River has a current of 2 miles per hour. A motorboat can travel 15 miles
down the river in the same amount of time it takes to travel 9 miles up the river.
What is the speed of the boat in still water? Please show your work and use table to
relate time, speed, distance.
Answer:
8mph
Step-by-step explanation:
I just answered the question
Determine whether each ordered pair is a solution of the system of linear equations.
3y = 6x + 12
2x - y = -4
a. (-3,2)
b. (0,4)
a. Is (-3,2) a solution?
0 Yes
Ο Νο
b. Is (0,4) a solution?
O No
0 Yes
Answer:
(0,4)
Step-by-step explanation:
The given equations are :
3y = 6x + 12
2x - y = -4
If (-3,2) be the solution of the above equations,
3(2) = 6(-3) + 12
6 = -18+12
6≠ -6
2x - y = -4
2(2) -(-3) =-4
4+7 = -4
11 ≠ -4
No, (-3,2) is not the solution.
Similarly, put (0,4) in the abve equations,
3(4) = 6(0) + 12
12 = 12
and
2(0) - 4 = -4
-4 = -4
Hence, (0,4) is a solution of the given equations.
This graph represents the height a baseball travels in t seconds.
How long is the height of the ball increasing?
0.5 seconds
1 second
2.4 seconds
30 seconds
Week 5 Test Taking skills, Page 2
Name
3
Rodrigo bought a sheet of shark stickers. He used 8 of the 32 stickers to decorate his science project about
sharks.
Shark Stickers
DO
How many shark stickers did Rodrigo use on his science project?
A
24
B
18
с
20
D
30
It’s number 3
Answer:
20
Step-by-step explanation:
5/8 of 32
5/8×32=20
remember of means multiply
HOPE THIS HELP YOU HAVE A NICE DAY OR NIGHT
Help:’/ it’s my last year
What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL TOGETHER?
Answer:
Take whatever amount of miles Sammy and Tanya drive and add them
Step-by-step explanation:
I don't have many numbers to work with so my equations are:
14 x (1 day of driving miles amount) = a
A x 2 = your answer
Mr.Jenkins will purchase a riding lawnmower that costs $1,350. The store offers no interest if he uses the store credit card and the balance is paid in full within one year.
PLS HELP
Complete question is;
Mr. Jenkins will purchase a riding lawnmower that costs $1,350 The store offers no interest if he uses the store credit card and the balance is paid in
full within one year. He has $1,500 in his checking account. Compare the
advantages and disadvantages to using either a debit card or a credit card.
Answer:
Advantages & disadvantages given below
Step-by-step explanation:
Advantages;
1. They have low fees; for example almost all store credit cards don't charge annual fees but instead they promote some very good offers.
2. Possibility of having discounts from retailers; because majority of retailers usually love promoting their credit cards because it helps them ensure they save more money and they hold on to this principle judiciously. For example there could be discounts upon first purchase or when you shop at target stores which they offer.
3) Majority of store credit cards offer a lot of benefits for members. For, owners of store credit cards could be offered the option of returning purchased items without presenting the receipt. There could also be I stances where they are giving free shipping of their products or they could be exposed to some good favorable payment plans.
Disadvantages;
1. Their credit limits are usually far lower than those of credit and debit cards.
2. Other cards give more flexible discount and reward system to its customers. This includes cash back or giving the incentive of earning more points when they spend beyond a certain amount.
blank plus 1/2 equals to 2/3
Answer:
1/6 + 1/2 = 2/3
Step-by-step explanation:
g Radio and television stations often air controversial issues during broadcast time and ask listeners and viewers to indicate their agreement or disagreement with a given stand on the issue. A poll is conducted by asking those listeners and viewers who agree to call a certain 900 telephone number and those listeners and viewers who disagree to call a second 900 telephone number. All respondents pay a fee for their calls. Does this polling technique result in a random sample
Answer:
NO, it does not.
Step-by-step explanation:
From the information provided, we know that the surveying method for the polling depends on the no. of calls got on the two sorts of 900 phone numbers.
This surveying strategy doesn't address a random sample in light of the fact that the viewers who see the show can be restricted. Additionally, among the viewers of the show, the reactions depend on viewers who intentionally approach to offer or air their opinion. Therefore, the acquired sample doesn't address a random sample and specifically, we can posit that the sample occurs to be a voluntary sample.
A $45 pair of shoes is on sale for 20% off. How much money is saved?
Answer:
$9
Step-by-step explanation:
(Please answer this asap)
Mia has a circular garden that she wants to put a fence around.
She knows that the area of a garden is 9p yds^2.
How much fencing does Mia need to go around the circumference of the garden?
Answer:
uhh i think 19?-
Step-by-step explanation:
i tried sorry-
Raymond kept track of the number of hours that he spent practicing the piano each week for several weeks. He spent 2, 4, 8, 6, and 5 hours. What is the range of the data set? B. 5 hours O A. 2 hours O O O D. 6 hours C. 8 hours
https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do
Answer:
so fun and amazing!
Step-by-step explanation:
simplify the expression by distributing combining like terns 2x + 3(2x+1)
Answer:
3
Step-by-step explanation:
23
What is the 20th term of the arithmetic sequence
3, 9, 15, 21, 27, ...?
Answer: 117
Step-by-step explanation:
first comment on first response!!! Thank you btwww!
PLEASE HELP !!!!!
What is the value of the missing angle?
Answer:
B
Step-by-step explanation:
180 - 100 = 80
80 = 30 = 110
180 - 110 = 70
Answer:
B
Step-by-step explanation:
100-30=70° Remeber this is a right triangle
Brainliest for correct answer
Answer:
V =1884 in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 10) ^2 * 6
V = pi ( 600) in^3
Using 3.14 for pi
V = 3.14 * 600 in ^3
V =1884 in ^3
Select the correct answer.
The figure PQRSTU represents the shape of the parking lot at a shopping mall. What is the area of the parking lot?
A.
834 square feet
B.
918 square feet
C.
984 square feet
D.
1,068 square feet
Reset
Answer:
Is there an image? I cant figure it out without the image
Step-by-step explanation:
2 1/5 + 6 4/5 pls help
Answer:
2 1/5 + 6 4/5
= 2/5 + 24/5
= 26/5
= 5.2
Answer:
[tex]8\frac{5}{10}[/tex]
Step-by-step explanation:
[tex]2 + 6 = 8\\\frac{1}{5} + \frac{4}{5} = \frac{5}{10}[/tex]
Let me know if this helps!
Please helpppp meeee
Pls help A bag contains 40 colored tiles. There are 12 red, 17 blue, 8 yellow and 3 green. One tile is drawn at
random which color is likely to be chosen? Pls I need help it will mean the world to me have a good day thank u pls help
A.red
B.green
C.yellow
D.blue
help me please I will mark 5 stars please it is urgent
Answer:
a) 3sec
b) highest point of 50
c) at 0 by 8 sec
Can anyone tell me what the answer please
What you're looking at in this image are two alternate exterior angles.
Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.
There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.
So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:
5x + 20 = 3x + 60
Subtract 20 from both sides:
5x + 20 - 20 = 3x + 60 - 20
5x = 3x + 40
Subtract 3x from both sides:
5x - 3x = 3x - 3x + 40
2x = 40
x = 20
If you have any questions on how I got to the answer, just ask!
- breezyツ
What is (14x^2– 27x+9) / (7x-3)?
A. 7x-3
B. 2x-3
C. -211x+9
D. 2x-33
Answer:
B. 2x - 3
Step-by-step explanation:
[tex] \rm \frac{ {14x}^{2} - 27x + 9}{7x - 3} [/tex]
[tex] \rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}} [/tex]
[tex] \boxed{ \rm \bold{= 2x - 3}}[/tex]
Answer:
[tex]\tt{}2x - 3[/tex]
Step-by-step explanation:
[tex] \tt{} \frac{(14 {x}^{2} - 27x + 9) }{(7x - 3)} [/tex]
[tex] \tt{} \frac{14 {x}^{2} - 6x - 21x + 9 }{7x - 3} [/tex]
[tex]\tt{} \frac{2x \times (7x - 3) - 3(7x - 3)}{7x - 3 } [/tex]
[tex]\tt{}2x - 3[/tex]