Answer:
a) The minimum sample size is 601.
b) The minimum sample size is 2401.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For this problem, we have that:
We dont know the true proportion, so we use [tex]\pi = 0.5[/tex], which is when we are are going to need the largest sample size.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)
This is n for which M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.25[/tex]
Rounding up
The minimum sample size is 601.
b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.
Now we want n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]
[tex]n = 2401[/tex]
The minimum sample size is 2401.
what does N represent in 25% of n =3
Answer:
hello! :) have a good day!
N = 12
PLEASE HELP ASAP
The perimeter of a playing field for a certain sport is 304 ft. The length is 50 ft longer than the width. Find the dimensions.
The width of the playing field is
ft.
Answer:
Width = 51 ft
Step-by-step explanation:
Use the perimeter formula and add on additional information. Use a variable to form the equation.
P = 2L + 2W
304 = 2(x+50) + 2(x)
Then, simplify the expression.
304 = 2x + 100 + 2x
304 = 4x + 100
204 = 4x
51 = x
This means that the length is 101 ft and the width is 51 ft.
Answer:
P = 2 l + 2 w
304 ft = 2 x 50 ft + 2 w
= 100 ft + 2w
2w = 204 ft
w = 102 ft
ANSWER: width is 102 ft
8(x - 1) - 4 = 4(2x - 3)
Answer:
All real numbers.
Step-by-step explanation:
8x-8-4=8x-12
8x-12=8x-12
All real numbers
Help me !!!!!!!!!!!!!!!!!!!!
Answer:
0 isnt a number loll
Step-by-step explanation:
B
write three hundred and sixteen thousand, two hundred and twenty-ninety in numerical form
Answer: 316,229
Step-by-step explanation:
A chef is preparing food for a group of 21 people. He uses a recipe that calls for 4 tomatoes
to serve six people. Since the number of tomatoes is directly proportional to the number of
people being served, how many tomatoes would he need to serve this group?
A 4
B5
C 12
D 14
Answer:
D: 14
Step-by-step explanation:
since the proportion is already 4:6, so you want to divided it by 2, so it will become 2:3, then multiply it by 7, so thats how i got 14 tomatoes for 21 people
20 PTS
If a new car payment is $616.67 each month, what is the total car payment for one year?
Answer:
7400.04
Step-by-step explanation:
Well, if one month is 616.67, then one year is just 12 months. Multiply 6l6.67 by 12, and the answer is 7400.04
Need help on only 27 please need ASAP thanks
Answer:
8 is not in the solution set
Step-by-step explanation:
Given, -y + 7 < -4
To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.
Thus:
-8 + 7 < -4
-1 < -4
This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.
Therefore, 8 is not in the solution set.
A number is greater than 8. The same number is less than 10. The inequalities x> 8 and x < 10 represent the situation Which best explains the number of possible solutions to the inequality? There is one solution because 9 is the only number between 8 and 10. There are a three solutions because 8, 9, and 10 are possible solutions. There are a few solutions because there are some fractions and decimals betwee There are infinite solutions because there is always another number between any two numbers?
Answer:
there are few solutions
Step-by-step explanation:
because for example 8.1 is between 8 and ten
8.1735282
is between 8 and 9
Pls help me here
Look at the picture help!!
Answer:
x=13.5
Step-by-step explanation:
that is my answer
A study found that 52% of people
chose pepperoni as one of their top
three pizza toppings. Of 846
people, about how many would
choose pepperoni as a favorite
pizza topping?
A. 440
C. 452
B. 450
D. 458
PLEASE HELP THIS IS WORTH 40 POINTS
Answer:
439.32 (so 440)
Step-by-step explanation:
52% of people, and there are 846 people. what is 52% of 846? 439.32 and you round up.
which table shows a proportional relationship between x and y ?
Answer:
Table C
Step-by-step explanation:
Given
Table A to D
Required
Which shows a proportional relationship
To do this, we make use of:
[tex]k = \frac{y}{x}[/tex]
Where k is the constant of proportionality.
In table (A)
x = 2, y = 4
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{4}{2}[/tex]
[tex]k = 2[/tex]
x = 4, y = 9
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{9}{4}[/tex]
[tex]k = 2.25[/tex]
Both values of k are different. Hence, no proportional relationship
In table (B)
x = 3, y = 4
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{4}{3}[/tex]
[tex]k = 1.33[/tex]
x = 9, y = 16
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{16}{9}[/tex]
[tex]k = 1.78[/tex]
Both values of k are different. Hence, no proportional relationship
In table (C):
x = 4, y = 12
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{12}{4}[/tex]
[tex]k = 3[/tex]
x = 5, y = 15
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{15}{5}[/tex]
[tex]k = 3[/tex]
x = 6, y = 18
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{18}{6}[/tex]
[tex]k = 3[/tex]
This shows a proportional relationship because all values of k are the same for this table
Factor a2 – 24a + 144.
Question 15 options:
A)
(a – 12)(a – 12)
B)
(a + 12)(a + 12)
C)
(a – 6)(a – 2)
D)
(a + 72)(7a + 2)
Answer:
A
Step-by-step explanation:
the the cross multiplication method
Answer:
A. (a-12)(a-12)
Step-by-step explanation:
a^2 - 24a + 144
what two numbers can be multiplied for 144? 12 and 12
12 + 12 adds up. to 24
You notice the 24 is negative so both 12's will be
(a-12)(a-12)
Marta practices the long jump. She jumps the same distance on her first four jumps. Her last two jumps are 1 1/2 feet longer than her first four jumps. Her average jumps distance is 16 feet. The equation below represents the situation, where j is the distance of each of Marta's first four jumps.
4j + 2(j+ 1.5)=16
-----------------
6
What is the distance of each of Marta's first four jumps? show work plz.
Answer:
The distance of each of Marta's first four jumps is of 15.5 feet.
Step-by-step explanation:
Average:
The average of a data set is given by the sum of all elements of the data set divided by the number of elements in the data set.
Marta's jumps:
First four of j.
Lax six are 1 1/2 feet longer = 1.5 feet longer, so j + 1.5.
Six jumps, average of 16.
What is the distance of each of Marta's first four jumps?
This is j. So
[tex]\frac{4j + 2(j + 1.5)}{6} = 16[/tex]
[tex]4j + 2j + 3 = 96[/tex]
[tex]6j = 93[/tex]
[tex]j = \frac{93}{6}[/tex]
[tex]j = 15.5[/tex]
The distance of each of Marta's first four jumps is of 15.5 feet.
drag and drop the unit rate for each size of peanut butter into the correct box to complete the statements
Answer:
A regular one costs $0.27 and family costs $0.13.
Step-by-step explanation:
Just divide $2.43 with 9 and then do the same with the family one.
Answer:
Reg- 0.27 Family-0.13
Step-by-step explanation:
Frank and Carl do some fundraising for their scout group. Together they raised 237 dollars. If Frank raised m dollars, and Carl raised
137 dollars:
Write an equation that represents the relationship between the amounts each contributed. (Note that we are not looking to solve for m yet.)
Answer:
237 = m + 137
this is the equation showing the relationship
An employee spent 60 minutes responding to 8 email message ,how much time did the employer spend responding to each email message
Answer:
So in order to get your answer all you need to do is divide 60 by 8 to get your answer
Step-by-step explanation:
Answer= 7.8 mins
The employee spent 7.5 minutes per mail.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that an an employee spent 60 minutes responding to 8 email message.
The employee spent 60 minutes responding to 8 email message. This means that he would spent (60/8) or 7.5 minutes per mail.
Therefore, the employee spent 7.5 minutes per mail.
To solve more questions on expressions, visit the link below -
brainly.com/question/1041084
#SPJ5
what is the degree of f(x) = (x + 3)(x - 1)(2x + 2)?
A. 1 B.2 C.3 D.4
Answer:
I believe the answer is c) 3
Step-by-step explanation:
f(x) = (x + 3)(x - 1)(2x + 2)
x(x) + x(-1) + 3(x) + 3(-1)
f(x) = (x^2 - x + 3x - 3)(2x + 2)
f(x) = (x^2 + 2x - 3)(2x + 2)
2x(x^2) + 2x(2x) + 2x(-3) + 2(x^2) + 2(2x) + 2(-3)
f(x) = (2x^3 + 4x^2 - 6x + 2x^2 - 6)
f(x) = (2x^3 + 6x^2 - 6x - 6)
According to the rational root theorem, which of the following are possible
roots of the polynomial function below?
F(x) = 4x2 - 6x2 + 9x + 10
A.5/4
B.1/3
C.-1/2
D.5
E.6
F.-2
Given:
The polynomial function is
[tex]F(x)=4x^3-6x^2+9x+10[/tex]
To find:
The possible roots of the given polynomial using rational root theorem.
Solution:
According to the rational root theorem, all the rational roots and in the form of [tex]\dfrac{p}{q}[/tex], where, p is a factor of constant and q is the factor of leading coefficient.
We have,
[tex]F(x)=4x^3-6x^2+9x+10[/tex]
Here, the constant term is 10 and the leading coefficient is 4.
Factors of constant term 10 are ±1, ±2, ±5, ±10.
Factors of leading term 4 are ±1, ±2, ±4.
Using rational root theorem, the possible rational roots are
[tex]x=\pm 1+,\pm 2, \pm 5, \pm 10,\pm \dfrac{1}{2}, \pm \dfrac{5}{2}, \dfrac{1}{4}, \pm \dfrac{5}{4}[/tex]
Therefore, the correct options are A, C, D, F.
Evaluate the expression for a=3 and b=1/4. 5a−16b+7
Answer:
18
Step-by-step explanation:
you have to multiply 5 and 3(which gives you 15) first, then move on to16 times 1/4 which gives you 4 then just add 7 and your done.
What is the answer for this?
what is the x-intercept of the function graphed below?
A. (2,0)
B. (0,-4)
C. (0,2)
D. (-4,0)
9514 1404 393
Answer:
A. (2, 0)
Step-by-step explanation:
The x-intercept is the point where the line crosses the x- (horizontal) axis. The coordinates there are (2, 0).
I need help please help me solve the the table
Answer:
cool
Step-by-step explanation:
In HIJ h=38 inches, I=45 inches and j=61 inches. Find the measure of H to the nearest degree
Answer: 38
step by step
deltamath
Answer:
38
Step-by-step explanation:
A company has to buy computers and printers. Each computer, x, costs $560 and each printer, y, costs $340. If the company spends $6,540 and buys a total of 16 machines, how many of each did it buy?
Enter a system of equations to represent the situation, then solve the system.
The system of equations is __________ and ____________.
The company bought __________computers and _________printers.
Answer:
yrsdhhdjdbzbdvbs. Es 560
"My friend here Justin, he's already taken, and he's cracked at Fornite my guy.
I've been contemplating this video a ton of late. I've been considering the video since it gives a provocative message and keen editorial about enslavement and fixation.
To start with, we should take this word by word. The initial segment of the primary sentence; the principal shimmer of gold, is "My companion here Justin" An everyday sentence from the outset, however kindly recollect what I said, to arrive at the pot of gold at the focal point of the cavern of incongruity is justified, despite any trouble. This little portion of the sentence addresses that the storyteller has a companion named Justin. The principal word is possessive; my, and companion here addresses the kid before the camera is indeed Justin, showed by the storyteller naming Justin just after saying companion here. how the storyteller we never see, and even the way that we never see the storyteller entreats us to embed ourselves into them, to place ourselves into their point of view.
"He's now taken" This passage is clear as crystal, aside from one section. "He" shows the subject of the sentence; Justin, is "now" demonstrating that Justin has as of now and is "taken". The virtuoso of this sentence is unpretentious yet significant pleasantry in "taken", as in the old style utilization of this sentence it would imply that Justin is associated with a sentimental or sexual relationship.
"Also, he's cracked at Fortnite" the biggest portion, consequently the one generally stuffed with significance, this selection is the zenith of the multitude of different passages of the sentence. "Also, expands on the last selection demonstrating this is the continuation of the story, and "He's cracked at Fortnite" is the star proclamation of this extract.
"My person". "My person" can allude to numerous things, the storyteller could be alluding to Justin or some obscure outsider. I would excuse the chance of the storyteller alluding to an outsider nonetheless, on the grounds that so far there has been no sign of any outsider in the sum of the video. All things being equal, I think "My person" is alluding to you, the watcher, audience, and peruser. The explanation the storyteller removes time from his day to effectively allude to the eyewitness is on the grounds that the storyteller makes a particular highlight incorporate you, in this manner demonstrating that you are, with regards to the story, in the room noticing Justin.
In general, this show-stopper addresses the narrative of a man's compulsion breaking him while fusing the absolute best incongruity and pleasantry I've ever seen, all done in one video, eight seconds, one sentence, and fourteen words. The incongruity choice and diverting, and the pleasantry smart, this is a provocative piece of media that I would never expect to completely examine, for this remarkable piece of media is worth undeniably more than 200 40,000 words.
Answer:
i dk what to say
Step-by-step explanation:
Answer:
hhahahha i need my points on my alt account
Step-by-step explanation:
let me answer!!!!!!!!!
The heights of the starting players on each of two basketball teams are shown in the table below. Heights of Starters on Team A and Team B Team A 70 in. 72 in. 75 in. 68 in. 70 in. Team B 71 in. 73 in. 71 in. 72 in. 73 in. Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob’s error?
Answer:
The correct answer should be A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
The measure of one angle is 80 degrees. What is the measure of its supplement? A 80 degrees B 100 degrees C 10 degrees D I don't know
Answer:
B. 100 degrees
Step-by-step explanation:
PLEASE HELP ME!!!!
For the given functions f and g, find the indicated composition.
f(x) = -6x +5, g(x) = 2x + 8; (g of)(x)
A. - 12x - 2
В.- 12x + 53
C. 12x + 18
D.- 12x + 18
Answer:
D. -12x + 18
Step-by-step explanation:
f(x) = -6x +5; g(x) = 2x + 8
[g o f](x) = g(f(x))
this means that in g(x), everywhere there's an x, f(x) replaces it. [g o f](x) is represented at the following: (f(x) is in bold)
g(f(x)) = 2(-6x +5) + 8 distribute the 2 to (-6x + 5)
g(f(x)) = -12x + 10 + 8 combine like terms
g(f(x)) = -12x + 18
A track and field coach wants to analyze the effect of sports drinks on the performance of his athletes. He decides to test three brands: Powerade, Gatorade and Vitaminwater. He will have each of the athletes complete a 400 meter run and record their times. Which of the following represents a confounding variable?
a. He decides to give all male athletes Gatorade and the female athletes eitherPowerade or Vitaminwater.
b. Yes gender would be confounded with sports drink since we cannotdistinguish their effects from each other.
c. He allows each athlete to choose their favorite drink from a cooler.
d. He has some of the athletes drink the sports drink two hours beforerunning,others one hour before running, and the rest 30 minutes beforerunning.
e. He has some of the athletes drink Gatorade two hours before running, othersdrink Powerade one hour before running, and the rest Vitaminwater half anhour before running.
e. Yes sports drink would be confounded with timing of the drink, since wecould not distinguish their effects from each other.
Answer:
A, D,
A.) He decides to give all male athletes Gatorade and the female athletes eitherPowerade or Vitaminwater.
D.) He has some of the athletes drink the sports drink two hours beforerunning,others one hour before running, and the rest 30 minutes beforerunning.
Step-by-step explanation:
Confounding variables could be described as variables which introduces elements that causes unwanted relationship between measured variables in data. Such that observed relationship is actually not as a result of the independent variable.
The confounding variables in the options chosen are gender and timing of the consumption and when the athletes eventually ran.
As for gender, male athletes are expected to put up a better running speed and energy than women and Hence would finish the rate faster based on these fact. Hence, it will be wrong to conclude that Gatorade has Better effect on performance.
As for timing, those who run shortly after taking an energy drink are more likely to be boosted that those who take much later and this the effect may not necessarily be in the type of energy drink consumed.
Confounding variables are the variables which are not related to the experiment.
Gender would be confounded with sports drink since we cannot distinguish their effects from each other.Sports drink would be confounded with timing of the drink, since we could not distinguish their effects from each other.What is confounding variable?Confounding variables are the variables which are not related to the experiment. Confounding variables provides the affects the useless results and affects the experiment.
Given information-
The total number of meters the athletes runs is 400 meters.
The sports drink given to athletes are Powerade, Gatorade and Vitamin water.
The given options are,
a) He decides to give all male athletes Gatorade and the female athletes either Powerade or Vitaminwater- As the male atheletes likely have more power and energy to run than the female athletes. Thus this can ruin the experiment. b) Yes gender would be confounded with sports drink since we cannot distinguish their effects from each other.c) He allows each athlete to choose their favorite drink from a cooler- To choose favorite drink does not affect the experiment.d. He has some of the athletes drink the sports drink two hours before running, others one hour before running, and the rest 30 minutes before running- The athletes who have taken drink just before the race, have more energy. Thus it is a confounding variable.e. He has some of the athletes drink Gatorade two hours before running, others drink Powerade one hour before running, and the rest Vitamin water half an hour before running-similar effect as the in the above case with the timing for this option.f). Yes sports drink would be confounded with timing of the drink, since we could not distinguish their effects from each other.Hence,
Gender would be confounded with sports drink since we cannot distinguish their effects from each other.Sports drink would be confounded with timing of the drink, since we could not distinguish their effects from each other.learn more about the confounding variable here;
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