Answer:
The margin of error for the Camp Verde survey will be between one and three times as great as the margin of error for the Gilbert survey.
Step-by-step explanation:
The statement which is true, the margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
[tex]MOE_\gamma=z_{\gamma}\dfrac{\sigma ^2}{n}[/tex]
Here, γ is the confidence interval, σ is standard deviation and n is the sample.
The mayor of Gilbert, AZ, randomly selects 300 of its residents for a survey while the mayor of Camp Verde, AZ, randomly selects 100 of its residents and asks them the same question. Thus,
[tex]n_1=300\\n_2=100[/tex]
Both surveys show that 15% of the residents of each town want Arizona to start using daylight savings like most of the rest of the country.
The confidence level for both surveys is 95% (z*-value 1.96). Thus, comparing the MOE of both the data as,
[tex]\dfrac{MOE_2}{MOE_1}=\dfrac{z_{\gamma}\sqrt{\dfrac{\sigma ^2}{n_2}}}{z_{\gamma}\sqrt{\dfrac{\sigma ^2}{n_1}}}\\\\\dfrac{MOE_2}{MOE_1}=\dfrac{\sqrt{\dfrac{1}{100}}}{\sqrt{\dfrac{1}{300}}}\\\dfrac{MOE_2}{MOE_1}=1.73[/tex]
Thus, the statement which is true, the margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey.
Learn more about the margin of error here;
https://brainly.com/question/10218601
#SPJ2
Which figures are familiar?
You are given the following list of values: 5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9 Which values are outliers?
1. Using the formula for the probability of one event or another event, calculate the probability of drawing a card from a standard deck that is either a jack or a club. Write out the formula and show your work. Write the final answer as a fraction in simplified form. (10 points)
Bonus question for extra credit: What is the probability of drawing two cards from a deck, without replacing the first card, and either getting two red cards or two aces? Hint: the probability of getting two aces is the probability of the first card being an ace, times the probability of the second card being a different ace. Show your work, and write your answer as a fraction in reduced form.
Can you solve 5a please greatly appreciated.
a day care center charges a $75 enrollment fee plus $100 per week which of the following represents the cost of sending a child to daycare for 14 weeks?
Answer:
cost of sending a child to daycare for 14 weeks is $1475
Step-by-step explanation:
a day care center charges a $75 enrollment fee plus $100 per week
LEt x be the number of weeks
cost of sending a child to day care = 100x + 75
To find the cost for 14 weeks, we plug in 14 for x
cost = 100(14) + 75= 1400+75 = 1475
cost of sending a child to daycare for 14 weeks is $1475
SOME ONE PLEASE HELP
Choose the correct simplification of the expression (7m3 n)2.
A.14m5n3
B.14m6n2
C.49m5n3
D. 49m6n2
Expand the binomial (2x + y^2)^5.
The fourth term in the expansion of the binomial (2x + y^2)^5 is _____
Niona needs $50 to go on a school trip. She sells necklaces for $15 each and bracelets for $5 each. If she raises the money by selling half as many necklaces as bracelets, how many necklaces and bracelets does she sell? Write a system of linear equations that represent this problem.
To solve the problem, create a system of linear equations representing the sale of necklaces and bracelets. The two equations will be 15n + 5b = 50 and n = 0.5b, which describe the total funds raised and the relationship between the number of necklaces and bracelets sold.
Explanation:Niona is trying to raise $50 for her school trip by selling necklaces and bracelets. We need to establish a system of linear equations to represent the problem. Let's define n as the number of necklaces and b as the number of bracelets. According to the problem, Niona sells necklaces for $15 each and bracelets for $5 each, and she sells half as many necklaces as bracelets.
Therefore, we can write the first equation based on the total amount of money raised:
15n + 5b = 50
And the second equation based on the relationship between the number of necklaces and bracelets:
n = 0.5b
Solving this system will give us the number of necklaces and bracelets Niona needs to sell to raise $50 for her trip.
The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:
Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13
Which of these is most likely the next step?
3x = 16
3x = 10
3x = 39
3x = 3
I REALLY NEED HELP!!!!!!!!!!
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Whenever you see ______ it is a blank spot where I need to fill in information.
An employee at a state park has 43 photos of animals found at the park. She wants to arrange the photos in rows so that every row except the bottom row has the same number of photos. She also wants there to be at least 4 rows.
Complete the description of two different ways she can arrange the photos.
She can arrange the photos as
______ rows of 10 photos and 1 row of ______
photos or arrange the photos as ______
rows of 8 photos and 1 row of ______
photos.
What is the median of the data set? {17, 40, 23, 44, 44, 30} Enter your answer in the box.
Answer:
35
Step-by-step explanation:
Please answer and explain
given a mean of 7.6 and a standard deviation of 3.1 what is the z-score of the value 10 rounded to the nearest tenth ?
A)0.8
B)0.9
C)1.7
D)5.7
Write the equation of the line with the following characteristics.A horizontal line through the point (0,3)
a plane can travel 480 miles per hour with the wind and 440 miles per hour Against the Wind find the speed of the wind and the speed of the plane in still air
Final answer:
The speed of the plane in still air is 460 miles per hour, and the speed of the wind is 20 miles per hour, found by setting up equations using the given speeds with and against the wind and solving them.
Explanation:
The question requires us to find the speed of the wind and the speed of the plane in still air based on the given speeds of the plane traveling with and against the wind. The speed of the plane with the wind is 480 miles per hour, and against the wind is 440 miles per hour. We can use these values to set up two equations:
The plane's speed in still air plus the wind's speed equals 480 mph.
The plane's speed in still air minus the wind's speed equals 440 mph.
Let's denote P as the plane's speed in still air and W as the wind's speed. We can establish two equations based on the aforementioned points:
1. P + W = 480
2. P - W = 440
To find P and W, we add the two equations together:
(P + W) + (P - W) = 480 + 440
2P = 920
P = 920 / 2
P = 460 mph
Now that we have the plane's speed in still air, we can find the wind's speed using either of the original equations:
460 + W = 480
W = 480 - 460
W = 20 mph
Therefore, the speed of the plane in still air is 460 miles per hour and the speed of the wind is 20 miles per hour.
What number should be subtracted from both sides of the following equation to solve for g?
g + 18.75 = 25
43.75
25
18.75
6.25
Answer:
18.75
Step-by-step explanation:
Cjhoward1, it isn't nice to call someone a nerd. I mean, sure a nerd is a smart person who really cares about school but it has a bad connotation and isn't the nicest thing to say to someone. If you meant it in a good way, then please accept my apologies but other ways I think you should think twice before you say something like that. And if you did think twice maybe you should think 3 times before you say something. It can be really mean. You may not notice it but it can hurt peoples feelings. Anyway. Have a good day!
What unit would you use to measure a kite string
Final answer:
To measure a kite string, one would typically use meters or feet, and the most suitable tool for this measurement would be a tape measure.
Explanation:
The unit you would use to measure a kite string is typically a unit of length. When we discuss the measurement of length for everyday objects such as kite strings, we commonly use units like meters, centimeters, or feet. For a kite string, which can be quite long, meters or feet are the most practical units. You would tie the string to the mass (kite) at one end and to the handle or spool at the other, and measure the length, L, of the string. The tool most suitable for measuring such lengths would be a tape measure, as it can be extended along the length of the string and is flexible enough to be used in various situations.
Consider the following system of equations:
2x + 3y = 45
x + y =10
What is the x-value of the solution for this system?
You visit two websites about inventions of the 21st century. One has .edu in the URL address and the other has .com. Which site is more likely to be credible and why? (6 points) The .edu site is more likely to be credible because all .com sites are trying to sell you something. The .edu site is more likely to be credible because its domain is a university or other school type. The .com site is more likely to be credible because all .edu sites are personal college student blogs. The .com site is more likely to be credible because its owners review all the content before publishing.
Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 + 3?
The hypotenuse of a right triangle is 12, and one of the legs is 4. Find the length of the missing length to the nearest hundred. Please help! ☺️ 25 points!
find the measure of the angle
Measure of the Bigger Angle= Measure of Given Angle+Measure of Smaller Angle
Measure of Bigger Angle =Measure of Angle to be Found
Measure of Angle to be Found= Measure of Given Angle + Measure of Smaller Angle
The smaller Angle signifies one quadrant
So, Measure of Smaller Angle = 90°
Measure of Angle to be found=90°+Measure of given Angle
Measure of Angle to be found=90°+55°
Measure of Angle to be found=145°
Answer:145°
What is the value of x?
sin(x+21)°=cos(2x+21)°
What is the Value of Y?
You are building a rectangular deck. The area of the deck should be 250ft². You want the length of the deck to be 5 ft longer than twice its width. What should the dimensions of the deck be?
Please help very urgent
4.5< √b <4.9
What is the possible value of b
A circular plate has circumference 29.5 inches. What is the area of this plate? Use 3.14 for pi.
Final answer:
To find the area of a circular plate with a given circumference, use the formula A = πr², where A is the area and r is the radius. Set up the equation for the circumference of the plate and solve for the radius. Then, plug the radius into the formula for the area. This gives the area as 69.07 inches².
Explanation:
To find the area of a circular plate, we can use the formula A = πr², where A is the area and r is the radius. In this case, the circumference of the plate is given as 29.5 inches. We know that the circumference of a circle is equal to 2πr, so we can set up the equation 29.5 = 2πr to solve for the radius.
Dividing both sides of the equation by 2π, we get r = 29.5 / (2π). Using the value of π as 3.14, we can calculate the radius as r ≈ 4.69 inches. Now we can plug this value into the formula for the area: A = 3.14 × (4.69)². Evaluating this expression gives us the area of the circular plate as A ≈ 69.07 inches².
i need help please !!