The 95% confidence interval for the difference between the proportion of men and women who planned to shop on the Friday after Thanksgiving is -0.080 to 0.000.
We are given a survey that was conducted by the Gallup organization. They randomly selected 1015 U.S. adults and asked them about their shopping plans for "Black Friday". They asked a simple question, "As you know, the Friday after Thanksgiving is one of the biggest shopping days of the year. Looking ahead, do you personally plan on shopping on the Friday after Thanksgiving, or not?"
Out of the 515 men who responded to the question, 16% said "Yes", and out of the 500 women who responded, 20% said "Yes". We are supposed to construct a 95% confidence interval for the difference between the proportion of men and women who planned to shop on the Friday after Thanksgiving.
We can approach this problem using the formula below:
(p1 - p2) ± z*SE(p1 - p2)
Here, p1 and p2 are the population proportions, and SE is the standard error of the difference between the sample proportions. We have to find the value of z for the 95% confidence level. Since we have a two-tailed test, the critical values would be ±1.96.
Next, we can find the standard error using the formula below:
SE = √[(p1q1/n1) + (p2q2/n2)]
where p1 and p2 are the sample proportions, q1 and q2 are the complements of the sample proportions, and n1 and n2 are the sample sizes.
Let's plug in the given values.
For men, p1 = 0.16, q1 = 0.84, and n1 = 515.
For women, p2 = 0.20, q2 = 0.80, and n2 = 500.
Now, we can calculate the standard error.
SE = √[(0.16 * 0.84/515) + (0.20 * 0.80/500)]
SE = 0.0286
Finally, we can calculate the confidence interval by plugging in the values.
(0.16 - 0.20) ± 1.96 * 0.0286 = -0.080 to 0.000
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a concert venue is determining the ticket price for concerts in a particular series. the sales team finds that at a price of $38 per ticket, attendance averages 1,000 people per concert. each decrease in price of $5 adds 50 people to the average attendance. find an equation for revenue, r, as a function of p, the price of tickets. what is r(25)?
An equation for revenue (r) as a function of (p) is R = 1380p - 10p²,
and R(25) = 28250.
Given that;
The cost of tickets for a specific series of concerts is set by a concert venue. The sales team discovers that 1,000 people on average attend concerts with tickets costing $38. The average attendance increases by 50 persons for every $5 decrease in price. Then,
Let 'T' be the number of times the price is decreased.
So, price;
p = 38 – 5x
x = (38 - p) / 5
And as per the given condition attendance;
a = 1000 + 50x
So, the Revenue is;
To develop an equation for revenue (r) as a function of p, the price of tickets;
R = p * a
R= p * (1000 + 50x)
But, x = (38 - p) / 5
Then,
R = P * (1000 + 50(38 - p)/5)
= p * (1000 + 380 - 10p)
= p * (1380 – 10p)
= 1380p - 10p² → (I)
To get R(25) from (I);
R(25) = 1380(25) - 10(25)²
= 34500 - 6250
= 28250
Hence, an equation for revenue (r) as a function of (p) is R = 1380p - 10p²,
and R(25) = 28250.
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the carrying capacity for a population of elk is 52. there are currently 33 elk in the population. the intrinsic growth rate of elk is 0.2 per year. how many elk will be in the herd one year from now? round to a whole number, up or down (we will accept either)
There will be 38 elk in the herd one year from now, rounded to a whole number.
To solve the given problem, we must use the formula for exponential growth or decay.
We'll use the following formula:
N = N0ert
Where,N is the final population;
N0 is the initial population;
r is the intrinsic growth rate;
e is the base of the natural logarithm; and
t is the time (in years).
According to the problem, the carrying capacity for a population of elk is 52, and there are currently 33 elk in the population.
The intrinsic growth rate of elk is 0.2 per year. We need to find out how many elk will be in the herd one year from now, rounded to a whole number.
Using the formula above, we can write:
N = 33e0.2 × 1= 37.98 ≈ 38
Therefore, there will be 38 elk in the herd one year from now, rounded to a whole number. Answer: 38.
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Which of the following is equivalent to the expression below?
7√6-5x√6-x√6
O
Ο
A.
21
O B. 7√6-5² √6
O c. 7x√6
O D. 7√6-6√6
x√6
given:ABCD is a square Complete the following.
1 If AB=10,thenAD=_________and DC=________
2 If CE= 5,then DE=_____________
3 m
4 m
5 m
Step-by-step explanation:
AD= 10cm DC=10cm
while in part 2
DE= 5m
geometry Pythagorean theorem
Answer:
6. x = 10 , 7. x =26 , 8. x = 15
Step-by-step explanation:
Using Pythagoras theorem,
6)
x² = 8² + 6²
x = √64+36
x = √100
x = 10
7)
x² = 24² + 10²
x = √576+100
x = √676
x = 26
8)
x² = 9² + 12²
x = √81 + 144
x = √225
x = 15
Answer:
6. x = 107. x = 268. x = 15Step-by-step explanation:
Question 6:
x² = 8² + 6²=> x² = 64 + 36=> x² = 100=> x = 10Question 7:
x² = 24² + 10²=> x² = 576 + 100=> x² = 676=> x = 26Question 8:
x² = 12² + 9²=> x² = 144 + 81=> x² = 225=> x = 15Is the following data an example of a linear function?
Answer:
नेपाल प्राकृतिक विविधताले भरिपूर्ण विश्वको सुन्दर मुलुक हो। नेपाल प्राकृतिक विविधताले भरिपूर्ण विश्वको सुन्दर मुलुक हो। नेपाल प्राकृतिक विविधताले भरिपूर्ण विश्वको सुन्दर मुलुक हो। नेपाल प्राकृतिक विविधताले भरिपूर्ण विश्वको सुन्दर मुलुक हो। नेपाल प्राकृतिक विविधताले भरिपूर्ण विश्वको सुन्दर मुलुक हो। नेपाल प्राकृतिक विविधताले भरिपूर्ण विश्वको सुन्दर मुलुक हो।
Is rotating a congruence transformation?
Yes , rotating is a congruence transformation.
What is a congruence transformation?
A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.
Main body:
A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.
Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.
Hence ,rotating is a congruence transformation.
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Which of the following graphs is the least useful for assessing normality? (a) Boxplot (b) Stemplot (c) Histogram (d) Dotplot (e) Normal probability plot
Answer:
The graph which is least useful for assessing normality is
(a) Boxplot
Step-by-step explanation:
(b) The stem plot can be used in the same way as an histogram. Long leaves and short leaves combined can show normality of a given data set
(c) An histogram, can be used to show normality by displaying the range of values which nave the highest frequency shown as having the highest height
(d) The Dotplot can show normality by the concentration of the dots on the graph
(e) The normal probability plot is used to assess the normality of data
(a) However, the boxplot is used to compare two datasets rather than a single population, with several data values.
in the group of hundred students68 likes football 60 likes volleyball how many likes only football
Answer:
18 students.
Step-by-step explanation:
Total amount is 100
Take 68 and add to 60 to get 128.
Subtract from both numbers until you get to 50.
68 needs 18 subtracted to get to 50.
60 needs 10 to get to 50.
18 plus 10 is 28, which is the excess.
Here, 18 people like only football.
Answer:
i think 40
if 68 =likes foot ball
&60=likes volley ball
here there are available the students that likes both because 68+60=128 but the students are 100 so the students that likes both are 128-100=28
threfore the students that like only football are 40
cause the 68 likes football & the28 likes only football
so to know how many students likek foot ball evaluate like this (68-28=40)
i hope helps you
Element x decays radioactively with a half life of 11 minutes. if there are 300 grams
of element x, how long, to the nearest tenth of a minute, would it take the element to
decay to 80 grams?
y= a(.5)
It Will take approximately 1.99 minutes for the element to decay to 80 grams.
To solve this problem, you can use the formula for exponential decay: y = a * b^x
Where "y" is the final amount of the substance, "a" is the initial amount of the substance, "b" is the decay constant (in this case, b = 0.5 since the half-life of element x is 11 minutes), and "x" is the time in which the decay occurs.
In this case, we are trying to find the value of "x" (the time in which the decay occurs) given the values of "y" (80 grams) and "a" (300 grams).
Substituting these values into the formula, we get:
80 = 300 * 0.5^x
To solve for x, we can divide both sides by 300 and take the logarithm of both sides: log(80/300) = log(0.5^x)
-1.386 = x * log(0.5)
-1.386 = x * -0.693
x = 1.99
This tells us that it would take approximately 1.99 minutes for the element to decay to 80 grams. Rounding to the nearest tenth of a minute, this is approximately 2.0 minutes.
Therefore, it would take approximately 1.99 minutes for the element to decay to 80 grams.
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Uhhhh any help? This is really confusing.
Answer:
Step-by-step explanation:
33 1/3%=100/3%
A percent as a decimal is percentage divided by 100
(100/3)/100=1/3
Since 1/3 of a number is 24 we can say
n/3=24
n=72
So 24 is 33 1/3% of 72
At noon on March 21st, what is the local sidereal
time?
a.
00:00
b.
06:00
c.
12:00
d.
18:00
e.
21:00
According to the question The local sidereal time (LST) at noon on March 21st is approximately 12:00 (option c).
To determine the LST, we need to consider the rotation of the Earth and its relation to the stars. LST is based on the apparent motion of the vernal equinox, which completes a full cycle in approximately 24 hours.
Since noon is halfway through the day, we can estimate that the LST at noon would be approximately half of 24 hours, which is 12:00. This assumes that we are considering a location where the local time is synchronized with the standard time zone and there are no factors like daylight saving time or variations in the location's longitude that can affect the LST calculation.
Therefore, the correct answer is option c) 12:00 local sidereal time.
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A family starts from home and drive to national park the expression 245 - 55T represent the distance in miles. The family still needs to drive after T hours. What does the 55 in the expression represent
The number 55 represents the speed of the car in miles per hour.
In the expression 245 - 55T, the number 55 represents the speed of the car in miles per hour.
To see why, consider the formula for distance, which is:
distance = speed x time
In this case, the distance is given by 245 - 55T, where T is the time in hours that the family has been driving. We can rearrange this formula to get:
speed = distance / time
Substituting the expression for distance, we get:
speed = (245 - 55T) / T
Simplifying this expression, we get:
speed = 245/T - 55
This shows that the speed of the car is given by 245 divided by the time in hours plus a constant of -55. Therefore, the number 55 represents the speed of the car in miles per hour.
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A rectangular field will be fenced on all four sides. Fencing for the north and south sides costs $5 per foot and fencing for the other two sides costs $12 per foot. What is the maximum area that can be enclosed for $4800?
The answer is "141.17647058823529411764705882353", hope this helps! Please Mark me the brainliest! ☺
Simplify the following equation and solve for m
2 (2m) + 4 (4m + 2) = 108
M=
The value of m from the equation 2 (2m) + 4 (4m + 2) = 108 is m = 5
The value of m = 5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A = 2 (2m) + 4 (4m + 2) = 108
Now , on simplifying the equation , we get
2 (2m) + 4 (4m + 2) = 108
4m + 4 ( 4m ) + 4 ( 2 ) = 108
4m + 16m + 8 = 108
20m + 8 = 108
Subtracting 8 on both sides of the equation , we get
20m = 100
Divide by 20 on both sides of the equation , we get
m = 5
Therefore , the value of m is 5
Hence ,
The value of m from the equation 2 (2m) + 4 (4m + 2) = 108 is m = 5
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HELP!
What is the value of the upper quartile?
52
53
54
56
As a result, the quartile's value will be 52.5.
What is data?Data in math refers to numerical facts and values that are collected and organized for analysis. Data helps to answer questions, solve problems, and gain insights. It is used to perform calculations, draw conclusions, and make predictions. Data can be presented as tables, graphs, diagrams, and charts, and can be used to identify trends, compare different sets of information, and study cause-and-effect relationships.
Given information is:
56 32 48 52 51 53 48 38 35 42 40 46 54 50
If you organise the given data in ascending fashion first, you can retrieve the value of the top quartile.
32, 35, 38, 40, 42, 46, 48, 48, 50, 52, 53, 54, 56
48, 50, 52, 53, 54, and 56 are in the upper quartile.
The upper quartile value is expressed as:
=53+52/2
=105/2
=52.2
As a result, the upper quartile's value will be 52.5.
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ad←→ is tangent to circle b at point c. the measure of ∠abc is 40º. what is the measure of ∠bac? responses 40º 40º 50º 50º 90º 90º 180º
The value of ∠BAC is 50°. Hence, the correct option is 50º.Given, AD is tangent to circle B at point C. ∠ABC = 40°.We need to find the value of ∠BAC.Therefore, let's solve this problem below:As AD is tangent to circle B at point C, it forms a right angle with the radius of circle B at C.
∴ ∠ACB = 90°Also, ∠ABC is an external angle to triangle ABC. Therefore,∠ABC = ∠ACB + ∠BAC = 90° + ∠BACNow, putting the value of ∠ABC from the given information, we get,40° = 90° + ∠BAC40° - 90° = ∠BAC-50° = ∠BAC
Therefore, the value of ∠BAC is 50°. Hence, the correct option is 50º.
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fit the model, part a, to the data using simple linear regression. give the least squares prediction equation
Answer:
fitting a simple linear regression first select the cell in data set second on the analyse it ribbon tap in statistical analysis group click fit model and then click the simple degradation model 3rd the wild drop down list select the response variable 4th in the X drop down let's select the predicated
2(3-q)+5=9 solve for q
Answer:
q = 1
Step-by-step explanation:
2(3 - q) + 5 = 9
* Expand the brackets
6 - 2q + 5 = 9
Separate the terms/variables and the integers.
6 + 5 - 9 = 2q
2 = 2q
1 = q
Approximate the slant height of a cone with a volume of approximately 28.2 ft and a height of 2 ft. Use 3.14 for π
The value of slant height of cone is,
⇒ l = 4.2 feet
We have to given that,
The slant height of a cone with a volume of approximately 28.2 ft and a height of 2 ft.
Now, We know that,
Volume of cone is,
⇒ V = πr²h / 3
Here, We have;
⇒ V = 28.2 feet
⇒ h = 2 feet
Substitute all the values, we get;
⇒ V = πr²h / 3
⇒ 28.2 = 3.14 × r² × 2 / 3
⇒ 28.2 × 3 = 6.28r²
⇒ 84.6 = 6.28 × r²
⇒ 13.5 = r²
⇒ r = √13.5
⇒ r = 3.7 feet
Since, We know that,
⇒ l² = h² + r²
Where, 'l' is slant height and 'r' is radius.
⇒ l² = 2² + 3.7²
⇒ l² = 4 + 13.5
⇒ l² = 17.5
⇒ l = √17.5
⇒ l = 4.2 feet
Thus, The value of slant height of cone is,
⇒ l = 4.2 feet
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Whitney has 13 blue envelopes. She has 11 fewer yellow envelopes than blue envelopes. She has 3 times as many green envelopes as yellow envelopes. How many envelopes does Whitney have in all?
Strand A changes color every 14 seconds. Strand B changes color every 20. Both strands just changed color. After how many seconds will the strands change color at the same time again?
Answer:
140
Step-by-step explanation:
14, 28, 42, 56, 70, 84, 98, 112, 126, 140.
20, 40, 60, 80, 100, 120, 140.
14 x 10 = 140
20 x 7 = 140
-5y+3x=3, -8y+9x=-12
Answer:
x = -4
y = -3
Step-by-step explanation:
-5y + 3x = 3
-8y + 9x = -12
Time the first equation by -3
15y - 9x = -9
-8y + 9x = -12
7y = -21
y = -3
Now put -3 in for y and solve for x
-5(-3) + 3x = 3
15 + 3x = 3
3x = -12
x = -4
Let's Check
-5(-3) + 3(-4) = 3
15 - 12 = 3
3 = 3
So, x = -4 and y = -3 is the correct answer.
Scott works as a college professor at a community college. He is paid $950 for each credit hour of classes he teaches . If he teaches a total of 51 credit hours , how much can he expect to make ANNUALLY ?
Given he paid $950 for each credit hour of classes.
If he teaches a total of 51 credit hours.
For 1 credit hour he takes $950. for 51 credit hours, he will take
\(\begin{gathered} 1\text{ hour =\$950} \\ 51\text{ hours = \$950}\times51 \\ 51\text{ credit hours = \$48,450} \end{gathered}\)Thus, the total money for 51 credit hours will be $48,450.
a) Look at the examples below and determine which relations represent y as
a function of x. Explain why on the lines below.
1. is a function because no 2 Ys have different Xs
2. is a function because each X only has 1 Y
3 is not a function because a X has more than 1 Y
find the median of upper half
17,18,19,20,21,24,25,27
Answer: Whole thing=20.5
First half (17,18,19,20)=18.5
Second half (21,24,25,27) = 24.5
Step-by-step explanation:
eliminate numbers on both sides till you get to the middle if there is an even number add up the two numbers in the middle and divide them by 2
For example, In the whole thing, you are left with 20 and 21 so
20+21 =41/2= 20.5
For example, In the first part, you are left with 18 and 19 so
18+19 =37/2= 18.5
For example, In the first part, you are left with 24 and 25 so
24+25 =49/2= 24.5
what is the equation of the line in slope-intercept form?
The linear function for this problem is defined as follows:
y = x + 50.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph touches the y-axis at y = 50, hence the intercept b is given as follows:
b = 50.
When x increases by 10, y also increases by 10, hence the slope m is given as follows:
m = 10/10
m = 1.
Hence the function is given as follows:
y = x + 50.
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plz help me. how many solutions
Answer:
no solutions
Step-by-step explanation:
2y = 4x+6
y = 2x+6
Divide the first equation by 2
y = 2x+3
These are parallel lines ( same slope) but different y intercepts
They will never intersect, so they have no solutions
Answer:
B No solutions
Step-by-step explanation:
2y = 4x + 6 first equatión
y = 2x + 6 second equation
from the first equation
y = (4x+6)/2
y = 4x/2 + 6/2
y = 2x + 3 third equation
matching second equatión and third equation
2x + 6 = 2x + 3
2x - 2x = 3 - 6
0 ≠ -3
then:
Β No solutions
Decimal multiplier by 1.7%
Answer:
times by 1.17
Step-by-step explanation:
hope this helps!
please give me a brainliest!!<3
Answer: 0.017
Step-by-step explanation:
1.7% = 0.017
find the value of x.
Answer:
19 my friends
have a good day
Step-by-step explanation: