a sample of 49 eggs yields a sample mean weight of 2.00 ounces. assuming that the population standard deviation
Answers
The correct answer is the margin of error is 0.13.
A population's standard deviation serves as a gauge for how widely distributed its individual data points are. It's a way to express how dispersed from the mean the data is.
To determine if a discovery or association is statistically significant or not, hypothesis testing uses a z-test. It checks specifically to see if two means are the same (the null hypothesis). A z-test can only be used when the population standard deviation is known and the sample size is 30 data points or more.
It is given that a sample of 49 eggs yields a sample mean weight of 2.00 ounces
Sample mean , x = 1.69
Population, SD =σ = 0.46
Sample size = n =49
Significance level = α =0.05
The critical value Z* = 1.960
Margin of error = Z* (σ /√n) = 1.96 (0.46/√49) = 0.1288≈ 0.13
Hence, the margin of error is 0.13
To know more about 'margin of error' related questions
visit- https://brainly.com/question/10501147
#SPJ4
Related Questions
A rectangular brick wall is 5 m wide and 1 m tall. Use Pythagoras' theorem to work out the distance between diagonally opposite corners. Give your answer in metres (m) to 1 d.p. 1m 5m
Answers
Answer:
\( \sqrt{ {5}^{2} + {1}^{2} } = \sqrt{25 + 1} = \sqrt{26} = 5.1\)
The distance between diagonally opposite corners of this wall is about 5.1 meters.
a situation in which several independent variables are highly correlated with each other is defined as _____.
Answers
In the figure, CD is a tangent, AB is 7cm, CD is 12 cm, find the value of BC.
Answers
Answer:
BC = 9 cm
Step-by-step explanation:
given a tangent and a secant drawn from an external point to the circle then the square of the measure of the tangent is equal to the product of the secants external part and the entire secant.
let BC = x , then
x(x + 7) = 12²
x² + 7x = 144 ( subtract 144 from both sides )
x² + 7x - 144 = 0 ← in standard form
(x - 9)(x + 16) = 0 ← in factored form
equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x + 16 = 0 ⇒ x = - 16
however , x must be greater than zero, then x = 9
that is BC = 9 cm
Ander makes a scale drawing of a tower. He uses scale of ' 1 cm represents 5 m. The tower in real life is 125 m high. How high is the tower on the scale drawing?
Answers
Answer:
25 cm
Step-by-step explanation:
125/5 = 25
hope this helped?
Haley and Ryan are finding 7 – 3 + 2. Who is correct? Explain your answer.
Answers
Answer:
I think that the person who is right is Ryan because he used the all the proprieties in the right way
Step-by-step explanation:
Answer: Ryan's work is correct because if you Subtract 7 and 3 you would get 4. Then you add 2 you would get 6.
Step-by-step explanation: Step 1: (7 - 3 = 4) Step 2: (4 + 2 = 6)
(DO NOT WASTE MY POINTS!) What is 5x6-2+7-2+5=?
Answers
Answer: 38
Step-by-step explanation:
your answer is 38
Step-by-step explanation:
your welcome
PLS HELP ASAP ILL GIVE BRAINLKEST
Answers
Answer:
Its the bottom one x>5
Step-by-step explanation:
For a certain relationship, y varies inversely with x. When x is 4, y is equal to 30. What is the value of y when x is equal to 10?
Answers
Step-by-step explanation:
inversely means
y = k/x
therefore
30 = k/4
120 = k
y = 120/10 = 12
FYI :
directly would mean
y = kx
The value of y will be 12 when x is equal to 10.
What is inverse variation?The relationship between two variables known as "inverse variation" occurs when the value of one variable increases while the value of the other variable decreases.
Given that, y varies inversely with x.
Here, y∝1/x
y=k/x
xy=k
When x is 4, y is equal to 30, we get
k=4×30
k=120
When x=10, we get
10y=120
y=12
Therefore, the value of y will be 12 when x is equal to 10.
Learn more about the inverse variation here:
brainly.com/question/11592410.
#SPJ2
which equation represents the relationship between the X values and the Y values in the table
Answers
Answer:
y=3x-4
Step-by-step explanation:
rates cell phone tiffany pays 40 for 160 minutes of talk time on her cell phone. how many minutes of talk time does she get per dollar
Answers
Tiffany gets 4 minutes of talk time on her cell phone per dollar cost.
If someone gets ' T ' minutes of talk time for the cost $ D so the rate of getting talk time per dollar is given by = T / D.
Given that the Tiffany pays a sum of $ 40 for talking 160 minutes on her cell phone.
So for $ 40 Tiffany gets the talk time of 160 minutes on her cell phone.
For $ 1 Tiffany gets the talk time of = 160 / 40 = 16 / 4 = 4 minutes on her cell phone.
Hence, Tiffany gets 4 minutes of talk time on her cell phone per dollar cost.
To know more about talk time here
https://brainly.com/question/29297010
#SPJ4
Evaluate each expression when Y equals 5. 12+4y
Answers
if a is an n × n matrix such that a = p dp −1 with d diagonal and p invertible, then the columns of p must be eigenvectors of a.T/F
Answers
False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.
False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).
In the given equation, \(a = PDP^(-1),\)
where D is a diagonal matrix and P is an invertible matrix.
The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.
When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)
Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.
Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)
Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.
However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.
The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.
Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.
In conclusion, the statement is false.
The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).
For similar question on matrix.
https://brainly.com/question/30292829
#SPJ11
Simplify.
(-5)^5
————
(-5)^-6
answer must be exponer
Answers
hat is the shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve y = 6 x at some poin
Answers
The shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve y = 6x at some point is 0.
To find the shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve y = 6x at some point, we need to use calculus.
Let's start by finding the derivative of y = 6x:
y' = 6
This tells us that the slope of the tangent line to the curve y = 6x at any point is always 6.
Now, let's assume that the line segment we're looking for intersects the x-axis at some point (a, 0), where a > 0.
Since the line segment is tangent to the curve y = 6x at some point, it must have the same slope as the curve at that point, which is 6.
So, the equation of the tangent line to the curve y = 6x at the point (a, 6a) is:
y - 6a = 6(x - a)
Simplifying this equation, we get:
y = 6x - 6a
Now, we want to find the point on this line that intersects the x-axis at (a, 0).
Substituting y = 0 into the equation of the line, we get:
0 = 6x - 6a
Solving for x, we get:
x = a
So, the line intersects the x-axis at (a, 0), as we assumed.
Now, the length of the line segment cut off by the first quadrant is the distance between the points (a, 0) and (0, 6a).
Using the distance formula, we get:
d = sqrt((a - 0)^2 + (0 - 6a)^2)
Simplifying, we get:
d = sqrt(37a^2)
d = a * sqrt(37)
So, the shortest possible length of the line segment is when a is minimized.
To minimize a, we need to find the x-coordinate of the point of tangency.
Setting the equation of the line equal to the equation of the curve, we get:
6x - 6a = 6x
Simplifying, we get:
a = 0
This means that the line segment intersects the x-axis at (0, 0), which is the origin.
Know more about tangent here:
https://brainly.com/question/19064965
#SPJ11
4x²+4x-24 step by step
Answers
Answer:
factored form = 4(x−2)(x+3)
Step-by-step explanation:
4 is a factor of the entire equation so factor it out and it will leave U with the answer
What is 118 lbs in kg ?
Answers
118 lbs is equal to 53.5 kg. both are unit of measurement of weight.
To convert pounds (lbs) to kilograms (kg), you can use the conversion factor 1 lb = 0.45359237 kg. To convert 118 lbs to kg, you would multiply 118 by 0.45359237, and after calculation it gives you 53.5 kg.
It's important to note that lbs and kg are different units of measurement for weight. Pounds are commonly used in the United States and the United Kingdom, while kilograms are used in most other parts of the world.
When converting between different units of measurements, one should be careful as the conversion factors are different for different units of measurements.
To know more about conversion factor click on the link below:
brainly.com/question/30166433#
#SPJ11
8.75x-2 i need help please
Answers
Answer:
-17.5
Step-by-step explanation:
there we go I can finally anwser here ya go have a good night keep working good :)
How do you solve (3×-2)^3
Answers
Answer:
the answer should be -216
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation? y = negative four-thirds x + 31. y = 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = 2 x + 7. y = negative four-thirds x + 31. y = negative 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = negative 2 x + 7.
Answers
Answer:
Let x represent the smaller number and y represent the larger number
For the first equation
Four times a number added to 3 times a larger number is 31 is written as
4x + 3y = 31
Making y the subject we have
3y = - 4x + 31
Divide both sides by 3
That's
\(y = - \frac{4}{3} x + \frac{31}{3} \)
For the second equation
Seven subtracted from the larger number is equal to twice the smaller number is written as
y - 7 = 2x
Making y the subject
We have
y = 2x + 7Hope this helps you
Answer:
first one (A)
Step-by-step explanation:
Use the table to answer the question.
Preferences Mountains Seaside Island
Hiking 45 20 12
Swimming 12 53 40
Given the data in the table, what is the relative frequency that the people who prefer hiking also prefer mountains? Round the percentage to the nearest tenth.
(1 point)
%
Answers
The relative frequency that the people who prefer hiking also prefer mountains is 58.4%.
Based on the table, there are 45 people who prefer both hiking and mountains. To find the relative frequency, we will calculate the total number of people who prefer hiking, which is 45 (mountains) + 20 (seaside) + 12 (island) = 77.
To find the percentage, divide the number of people who prefer both hiking and mountains by the total number of people who prefer hiking:
45 / 77 ≈ 0.5844
Now, multiply this result by 100 to get the percentage and round to the nearest tenth:
0.5844 * 100 ≈ 58.4%
So, the relative frequency that people who prefer hiking also prefer mountains is approximately 58.4%.
For more such questions on frequency , Visit:
https://brainly.com/question/28821602
#SPJ11
Please help ! !!!!!!!!
Answers
Answer:
c, 50
Step-by-step explanation:
120-24= 96
Since we are measuring the size of one of the halves, you have to split that number in half, so 96 ÷ 2= 48.
48 rounds up to 50, so 50 is the answer
For want of a nail, the shoe was lost,
For want of a shoe, the horse was lost,
For want of a horse, the rider was lost,
For want of a rider, the battle was lost,
For want of a battle, the kingdom was lost,
And all for the want of a horseshoe nail.
From the above poem, we can deduce that the lack of one horseshoe could be either inconsequential or it could indirectly cause the loss of a war. Some systems are quite sensitive to their starting conditions, so a small change may cause a big difference in the outcome.
Keeping the above in mind, look at the following polynomials:
⦁ y = x
⦁ y = x2
⦁ y = x3
Does a slight change in the degree of the polynomials affect their graphs? If yes, show your results graphically, taking values of x as -3, -2, -1, 0, 1, 2 and 3 in every case.
Answers
The poem For Want of a Nail is a warning about how small things can have large and unforeseen consequences. The lack of a horseshoe could lead to the loss of a horse, which could result in the loss of a rider, which could lead to the loss of a battle.
This shows that a small change can cause a big difference in the outcome. We can see a similar phenomenon in the world of mathematics, where small changes in a function can lead to significant changes in its behavior. For example, the degree of a polynomial can have a dramatic effect on its graph. Let's consider the function y = x². This is a second-degree polynomial, which means that its graph is a parabola. If we change the degree of this polynomial to 1, then we get the function y = x, which is a straight line. If we change the degree of this polynomial to 3, then we get the function y = x³, which is a cubic curve. If we graph these functions for the values of x from -3 to 3, we can see how the slight change in the degree of the polynomial affects their graphs. The graph of y = x² is a parabola that opens upward. TThe graph of y = x is a straight line that passes through the origin. The graph of y = x³ is a cubic curve that passes through the origin and has two turning points. These graphs show that a small change in the degree of the polynomial can have a significant effect on its graph.For such more question on polynomial
https://brainly.com/question/4142886
#SPJ8
The domestic violence study conducted in 1984 by Sherman and Berk had an ethical concern in that: O They financially profited from the research. O They did not adhere to special protections for vulnerable populations. O They potentially withheld a beneficial treatment. O They deceived their subjects.
Answers
In the 1984 domestic violence study conducted by Sherman and Berk, the ethical concern was that they potentially withheld a beneficial treatment.
The domestic violence study conducted by Sherman and Berk in 1984 raised an ethical concern in that they financially profited from the research. This raises the question of whether their motives were purely altruistic or whether they were driven by financial gain. Additionally, the study did not adhere to special protections for vulnerable populations such as women and children who may have been victims of domestic violence. This raises concerns about the validity and generalizability of the study's findings. Furthermore, the study potentially withheld a beneficial treatment, which raises questions about the ethical responsibility of researchers to ensure that their subjects receive the best possible care. Finally, there are also concerns that the researchers may have deceived their subjects, which raises questions about the integrity and transparency of the research process. In conclusion, the ethical concerns raised by this study highlight the need for researchers to carefully consider the impact of their research on vulnerable populations and to ensure that they adhere to the highest ethical standards.
Visit here to learn more about ethical concerns:
brainly.com/question/28318353
#SPJ11
what is x + 1/3 = 2/5
Answers
Answer:
x=1/15
Step-by-step explanation:
So we have to subtract 2/5 and 1/3
2/5=6/15 and 1/3=5/15
6/15-5/15=1/15
x=1/15
You are solving a measurement problem where the numbers 2.058 × 10^9 and 3.0571 × 10^−4 are divided. How many significant digits should the quotient have?
Answers
4 significant digit the quotient have.
Significant digit are the important digit in a number which convey the accuracy. all non zero numbers are significant and zero between two non zero is a significant digit and all zeros at the right of decimal is significant digit in number.
Given numbers are 2.058 * 10^9 and 3.0571 * 10^-4
To calculate the division first we have to solve the exponent.
In divide we subtract the powers
10^(9-(-4)) = 10^13
Now do the division
(2.058 ÷ 3.0571)*10^13 = 0.67318*10^13 = 0.6732 *10^13
=6.732 * 10^12
Number of significant digit are 4.
To learn more about significant digit here,
brainly.com/question/28589977
#SPJ1
jaskson kitten weghed 2 pound
Answers
umm what the rest of the question
Answer:
no he weghed 3 pound
Step-by-step explanation:
I need help with this question, what is 9m + (9 + 2)^2 + 2p - (5 + 6)^9 + 4m + 3 + 9p
Answers
Answer:
13m+11p−2357947567
Step-by-step explanation:
Answer:
13+11−2357947567
Step-by-step explanation:
sort the cities from closest to farthest from sea level.
Please help me
Answers
J,BB,S
(I shortened name to letter)
Please help me with this question!!!!!
Answers
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
If x = -1, then which of the following inequalities makes a true statement?
A. -4x + 9 > 20
B. -4x – 5 < -15
C. -3x + 15 ≤ 18
D. -5x – 15 ≤ -22
Answers
Answer:
It is C
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.