Find the margin of error E. A sample of 51 eggs yields a mean weight of 1.72 ounces. Assuming that o = 0.87 oz, find the margin of error in estimating p at the 97% level of confidence. Round your answer to two decimal places.

Answers

Answer 1

The margin of error E is approximately 0.31 oz

Margin of error is known to be a statistic expressing the amount of random sampling error in a survey's results. The margin of error informs you how close your survey findings are to the actual population's overall results. It is commonly represented by E.

The formula for margin of error is as follows:

z = critical value

σ = standard deviation

n = sample size

E = margin of error

The formula is, E = zσ/ √n

Here,

Sample size n = 51; Mean = 1.72; Standard deviation σ = 0.87 oz

Level of confidence = 97%

The level of confidence that corresponds to a z-score of 1.88 is 97% (using a standard normal table or calculator).

That is, z = 1.88 (by referring to a standard normal table or calculator)

To calculate the margin of error, we need to substitute the values in the formula

E = zσ/ √n

E = (1.88) (0.87) / √51

E = 0.3081 oz (approx)

Hence, the margin of error is approximately 0.31 oz (rounding the answer to two decimal places).

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Related Questions

Need help plz asap im hoping on an answer quick thank you <3

Answers

Answer:

I believe the answer is 10

Step-by-step explanation:

Answer:

I think that it might be ten

Step-by-step explanation:

Use De Moivre's Formula to compute the three complex cubic roots of 2-2i List your answers in the form (a + bi). Show all steps.

Answers

Using c we can compute the three complex cubic roots of 2-2i. The roots are (-1 + i), (1 - i), and (-2). The explanation below provides the step-by-step process of finding these roots.

De Moivre's Formula states that for any complex number z = r(cos θ + i sin θ), the nth root of z can be calculated as z^(1/n) = r^(1/n)(cos(θ/n + 2πk/n) + i sin(θ/n + 2πk/n)), where k is an integer.

In this case, we have z = 2-2i, which can be represented in polar form as r = √(2^2 + (-2)^2) = 2√2 and θ = tan^(-1)(-2/2) = -π/4.

To find the cubic roots, we need to compute z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3 + 2πk/3) + i sin((-π/4)/3 + 2πk/3)].

For k = 0:

z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3) + i sin((-π/4)/3)] = (∛2)[cos(-π/12) + i sin(-π/12)] = (-1 + i).

For k = 1:

z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3 + 2π/3) + i sin((-π/4)/3 + 2π/3)] = (∛2)[cos(7π/12) + i sin(7π/12)] = (1 - i).

For k = 2:

z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3 + 4π/3) + i sin((-π/4)/3 + 4π/3)] = (∛2)[cos(-5π/12) + i sin(-5π/12)] = (-2).

Therefore, the three complex cubic roots of 2-2i are (-1 + i), (1 - i), and (-2)

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HURRY! ANSWER QUICK PLEASEEE

Answers

Answer:

See explanation below

Step-by-step explanation:

Total number = (Rate)(time)

---------------------------------------

t = cd

t = qh

t = wm

HELP PLS YALL HDHDGDUSHSHXHHXXHHXHXBXBXXHDBBDBDBDBDD

Answers

Answer:

with what?

Step-by-step explanation:

Please help.
Is algebra.

Answers

B and B simple math and simplification of the problems : (2x-5y)(2x-5y) and (x+7)(x+7)

Which of the following are Statistical Inference methods?
• Significance Tests
• Confidence Intervals
• Normal and Binomal Summaries
• Sampling Distributions
• Graphs and Numerical Summarie

Answers

Statistical inference methods include significance tests, confidence intervals, and sampling distributions.

Statistical inference refers to the process of drawing conclusions and making predictions about a population based on sample data. It involves using various methods and techniques to make inferences and generalize findings to the larger population.

Significance tests are statistical inference methods that help determine if there is enough evidence to reject or accept a specific hypothesis about a population parameter. They involve calculating a test statistic and comparing it to a critical value to make a decision.

Confidence intervals are another statistical inference method that provides a range of plausible values for a population parameter. They estimate the parameter with a certain level of confidence and are based on sample data and the sampling distribution of the statistic.

Sampling distributions are fundamental to statistical inference as they describe the distribution of a statistic based on repeated sampling. They provide information about the variability and properties of the statistic under different sample scenarios.

Normal and binomial summaries, as well as graphs and numerical summaries, are tools and techniques used in statistical inference to summarize and analyze data but are not specific methods themselves. They help in understanding and visualizing data, which in turn informs the application of statistical inference methods.

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if h(x)=3^x then h (-4) =

Answers

Answer:

1/81

Step-by-step explanation:

In h(x)=3^x, replace each instance of x with -4:

h(-4) = 3^(-4), or

                 1

h(-4) = ----------- = 1/81

              3^4

[tex]\huge{\mathbb{\tt { PROBLEM:}}}[/tex]

if h(x)=3^x then h (-4) =

[tex]\huge{\mathbb{\tt { ANSWER:}}}[/tex]

[tex] \frac{1}{81} [/tex]

[tex]\huge{\mathbb{\tt { EXPLANATION:}}}[/tex]

In h(x) = 3^x , you must replace each instance of with -4:

h(-4)=3^(-4)

[tex]h(4)= \frac{1}{3^4} = \frac{1}{81} [/tex]

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X x K i m 0 2 x X

A quality control inspector selects 12 bottles of apple juice at random from a single day’s production. The mean amount of apple juice in the bottles is 298.3 milliliters, and the 95% confidence interval for the true mean amount of juice dispensed per bottle is (296.4, 300.2). Does this interval give the quality control inspector reason to believe that the mean amount of juice in today’s bottles differs from 300 milliliters, as the juice label promises?

Answers

Answer:

The juice label (300ml) is in the confidence interval.

So, the 95% CI does not give the inspector the reason to believe the amount of juice differs from 300ml

Step-by-step explanation:

Given

[tex]95\%\ CI = (296.4, 300.2)[/tex]

[tex]Juice\ label = 300ml[/tex]

From the 95% confidence interval value, we have: 296.4 to 300.2

Within this interval, we can find the juice label 300

i.e. 296.4 < 300 < 300.2

In other words, the juice label (300ml) is in the confidence interval.

So, the 95% CI does not give the inspector any reason to believe the amount of juice differs from 300ml.

Find the slope of the line:

Answers

the slope is 3/4 or 0.75

Which way will the parabola open? Explain.

Answers

our parabola open downward and therefore a is negative.

Explanation:
As value of a changes from positive to negative or from negative to positive, the direction of opening changes. For negative values of a we got negative parabolas that open downward. As the original formula y = x^2 we see that x^2 will always be positive because when you square a number it always gives positive value. Therefore the direction for which it will open, depends on value of a.

Read through the list of points about robots. Determine main points, subpoints, and sub-subpoints. Drag each point to its appropriate place on the outline to the right. If using a tablet, please turn your device horizontally In 1773, Pierre and Henri Jaquet-Droz built dolls that could write, play music, and draw pictures. They allow surgeons to operate on patients from thousands A. of miles away They can navigate hospital corridors to deliver pharmaceuticals, X-rays, and bandages Robots have captured the human imagination for centuries. Astronauts use robots to perform maintenance on the International Space Station In 1937, Westinghouse created a seven-foot robot that could walk, talk, blow up balloons, and smoke cigarettes A. Today robots are used in many fields, including space 1. exploration and medicine Robots have become indispensable to space exploration. 2 Robots are becoming more and more important in medicine. 1. In 1497, Leonardo da Vinci designed a mechanical suit of armor that could sit up and move its arms, neck, and jaw. In addition, NASA sends robotic spacecraft to explore distant planets 2

Answers

Robots have captured the human imagination for centuries and have become indispensable in many fields, including space exploration and medicine. They have evolved from simple mechanical devices to advanced machines that assist in complex tasks.

Robots have been a source of fascination for humans for centuries. From Leonardo da Vinci’s mechanical suit of armor in 1497 to Westinghouse’s seven-foot robot in 1937, robots have come a long way. Today, robots are used in many fields, including space exploration and medicine. They allow surgeons to operate on patients from thousands of miles away and navigate hospital corridors to deliver pharmaceuticals, X-rays, and bandages. Astronauts use robots to perform maintenance on the International Space Station and NASA sends robotic spacecraft to explore distant planets.

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Find the length of the missing side.
7
24

A 25
B.168
C 31
D. 625

Answers

Answer: C

Step-by-step explanation: #1 because if you add 24 and 7 it looks like the other side.

Answer:

A. 25

Step-by-step explanation:

By Pythagoras theorem,

[tex] {25}^{2} = {24}^{2} + {7 }^{2} \\ 625 = 576 + 49 \\ 62 5= 625 \\ therefore \: 25 \: is \: the \: correct \: \: answer.[/tex]

Piscine is replacing the paving stones around her inground pool. Her pool is 10 cm by 5 cm, and is surrounded by a 1.5m border of paving stones.
a) How many square metres of paving stones will she need in total?
b) If each paving stone is 25 cm by 40 cm, in theory, how many paving stones will she need?
c) Will your answer in part b) actually be enough? Try fitting the stones in the space to see whether Piscine can complete the border with exactly that number of stones, or whether there will be waste, requiring some extras.

Answers

A=75
B=1,000
C= no because the number is small

Answer this question to get marked as barinliest!!!!

Answers

3.14 × 16 = 50.24

C is ur answer

now gimme brainliest

Answer:

B or the second one i did  my math

Step-by-step explanation:

Question 5 Multiple Choice Worth 5 por 03 01 LC) The social studies teacher wants to know whether the students in the entire school prefera model United Nations random sample from the following groups Al teachers in the school . Al boys in each grado • A students in each grado All students in the social studies club Which group best represents the population he should take a random sample from to get the best for ham O Al teachers in the school O All boys in each grade O All students in each grade O AB students in the social studios club​

Answers

Answer:

D

Step-by-step explanation:

5. Find the area of the isosceles trapezoid in square centimeters.
14 cm
12 cm
10 cm
24 cm

Answers

Answer:

60 because I added all of them

Divide the larger square into 10 equal columns or rectangles. Shade one rectangle. What part of the whole is the shaded rectangle? Write that part as a decimal and a fraction.

Answers

Answer:

[tex]Part=\frac{1}{10}[/tex]

[tex]Part=0.10[/tex]

Step-by-step explanation:

Given

[tex]Columns = 10[/tex]

[tex]Shaded = 1[/tex]

Required

Part of the whole

This is calculated as:

[tex]Part=\frac{Shaded}{Columns}[/tex]

Substitute [tex]Columns = 10[/tex] and [tex]Shaded = 1[/tex]

[tex]Part=\frac{1}{10}[/tex]

[tex]Part=0.10[/tex]

15. JAGUARUNDI A jaguarundi springs from a fence post to swat at a low flying bird.

Her height h in feet can be modeled by the equation h = -161? + 22.31 + 2,

where t is time in seconds. Use the discriminant to determine if the jaguarundi

will reach the bird if the bird is flying at a height of 10 feet. Explain.

Answers

Answer:

The discriminant, -14.71 < 0, shows that there is no solution of the equation, h = -16·t² + 22.3·t + 2, at the line 'h = 10' feet, therefore, the Jaguarundi height as she springs will not be up to 10 feet and therefore she will not reach the bird

Step-by-step explanation:

From the question, the equation that models the Jaguarundi's height, 'h', ma be written approximately as follows;

h = -16·t² + 22.3·t + 2

Where;

t = The time (duration) in seconds

The discriminant of the equation a·x² + b·x + c = 0 is  b² - 4·a·c

When h = 10, we have;

10 = -16·t² + 22.3·t + 2

∴ 0 = -16·t² + 22.3·t + 2 - 10 = -16·t² + 22.3·t - 8

The discriminant of the given quadratic equation is given as follows;

The discriminant = 22.3² - 4 × (-16 × (-8)) = -14.71 < 0

Therefore, the function, h = -16·t² + 22.3·t + 2 has no real root at h = 10

The parabola does not reach or pass through the line h = 10 which is the height at which the bird is flying.

The Jaguarundi will not reach the bird flying at the height of 10 feet.

Answer:

No, the Jaguarundi will not reach the bird

Step-by-step explanation:

The equation is

[tex]h=-16t^2+22.3t+2[/tex]

When h = 10 feet

[tex]10=-16t^2+22.3t+2[/tex]

[tex]\Rightarrow -16t^2+22.3t-8=0[/tex]

[tex]a=-16[/tex]

[tex]b=22.3[/tex]

[tex]c=-8[/tex]

Discriminant is given by

[tex]b^2-4ac=22.3^2-4(-16)(-8)[/tex]

[tex]\Rightarrow b^2-4ac=-14.71[/tex]

[tex]\Rightarrow b^2-4ac<0[/tex]

So, the Jaguanrundi will not reach the bird as the roots will be imaginary.

2 5/6 divided by 3 1/4 please explain .

Answers

2 5/6 divided by 3 1/4 is like multiplying.
You turn both mixed fractions into improper fractions. Then flip 13/4 into 4/13 and multiply. I’m sorry if this doesn’t make sense.

17/6 x 13/4 to 17/6 x 4/13

17/6 x 4/13 = 68/78 = 34/39

Answer:

[tex]\frac{34}{39}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]

[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]

So now

[tex]\frac{17}{6} / \frac{13}{4}[/tex]

Flip the second fraction and multiply

[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]

Now reduce the fraction

[tex]\frac{34}{39}[/tex]

Use the provided dropdown menus to construct a translation of the given compound statement into propositional logic notation. Enter a sentence letter, a propositional operator, or a parenthetical mark into each blank space. By convention, parentheses () go inside brackets [], if more than one level of parentheses are needed.
Statement: Today is Thanksgiving Day, but I will eat the turkey if and only if the turkey is free range and it has not been tortured.
Key: E = I will eat the turkey.
F = The turkey is free range.
O = The turkey has been tortured.
T = Today is Thanksgiving Day.

Answers

The translation of the compound statement into propositional logic notation is as follows: T ∧ (E ↔ (F ∧ ¬O)).

In propositional logic notation, the compound statement is broken down into individual propositions using sentence letters and logical operators. Here, T represents "Today is Thanksgiving Day," E represents "I will eat the turkey," F represents "The turkey is free range," and O represents "The turkey has been tortured." The compound statement can be translated as T ∧ (E ↔ (F ∧ ¬O)), where ∧ represents the logical AND operator, ↔ represents the logical biconditional operator (if and only if), and ¬ represents the logical NOT operator (negation). This notation captures the conjunction of the conditions and the relationships between them.

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what does a research means to be amenable to scientific study

Answers

Being amenable to scientific study means that a research topic can be investigated using scientific methods and principles.

When a research topic is described as being amenable to scientific study, it means that it can be effectively examined and analyzed using scientific methods and principles. This implies that the research question or phenomenon can be studied through systematic observation, data collection, experimentation, and analysis within the framework of scientific inquiry.

To be amenable to scientific study, a research topic should be measurable, testable, and capable of producing empirical evidence. It should lend itself to rigorous investigation, allowing for the formulation of hypotheses, the collection of data, and the application of statistical analysis or other scientific methodologies.

Furthermore, the topic should be well-defined and specific enough to be studied systematically, allowing for replication and peer review, which are essential aspects of scientific research.

Overall, being amenable to scientific study means that the research topic can be examined and understood using the established principles and methods of scientific inquiry.

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The box plots show data about test
scores for two classes.
Test Scores
Class 1
Class 2.
+
t
60
70
90
100
80
Score
Which statement is best supported by the
information in the box plots? (7.1A, 7.18,
7.1E, 716)

Answers

____________________________

Answer:

t = r n − 2 1 − r 2 = 0.45 25 − 2 1 − 0.45 2 = 2.417 The critical value for α = 0.05 for a two-tailed test using the t 24 distribution is 2.064. Your value is greater than this, so you reject the null hypothesis and conclude that the study produced evidence that the variables are significantly correlated

Step-by-step explanation:

Estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints. (Round your answers to four decimal places.)
R4 =

Answers

R4 ≈ 1.5535. The given function is f(x) = 5 cos(x).

We have to estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints.

(Round your answers to four decimal places.)

Here is the given function graphically and the approximating rectangles: [tex]\text{graph}\left(5\cos\left(x\right),\ \left(0,\ \frac{\pi}{2}\right)\right)[/tex]

Now, let's find the value of ∆x:∆x = [b-a]/n, here n is the number of rectangles.

∆x = [π/2 - 0]/4= π/8

First, we will find the right endpoints of four approximating rectangles: x1 = ∆x+x0 = π/8+0 = π/8x2 = ∆x+x1 = π/8+π/8 = π/4x3 = ∆x+x2 = π/8+π/4 = 3π/8x4 = ∆x+x3 = π/8+3π/8 = π/2

Now, we will find the height of each rectangle: For rectangle 1: f(x1) = 5 cos(π/8) ≈ 4.8729

For rectangle 2: f(x2) = 5 cos(π/4) ≈ 3.5355For rectangle 3: f(x3) = 5 cos(3π/8) ≈ 1.4645

For rectangle 4: f(x4) = 5 cos(π/2) = 0

Therefore, the area under the curve using four approximating rectangles and right endpoints is:R4 = ∆x (f(x1) + f(x2) + f(x3) + f(x4))R4 = π/8(4.8729 + 3.5355 + 1.4645 + 0)≈ 1.5535 (rounded to four decimal places)

Hence, R4 ≈ 1.5535.

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PLZ HELP I WILL GIVE BRAINLIEST Question 3
What are three different types of solutions you can get when you solve a system of
linear equations?
Answer:

Answers

Answer:

one solution

infinite number of solutions  

no solutions

Step-by-step explanation:

i hope this helps :)

Deon wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 8 feet. Suppose glass costs $6 for each square foot. How much will the glass cost to replace the window?

Answers

Answer:

is 84 dollars

Step-by-step explanation:

Teresa wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window? Please I really need help ASAP!!!

Question 1 Find the first six terms of the sequence. a1 -4, an -an-1+ 8 (1 point)

0,8, 16, 24, 32, 40
12.20,28, 36, 44, 52
4, 12, 20, 28, 36,44
4.8. 16, 24, 32,40

Question 2 Find the first six terms of the sequence. a1 -8, an 5 an-1(1 point)

-8,-40, -200,-1000,-5000, -25,000 .
8,-40-35,-30,-25,-20
0,5,-40, -35, -30,-25
40, -200, -1000, -5000, -25,000, -125,000

Answers

The correct answer is option is 3) 4, 12, 20, 28, 36, 44 and option is 1) -8,-40, -200,-1000,-5000, -25,000.

Question 1= The given sequence is a1 = -4 and an = an-1 + 8.

Here, to find the first six terms of the given sequence, we need to substitute the values of n from 1 to 6.

So, the first six terms of the given sequence are as follows:

The first term, a1 = -4.

Second term, a2 = a1 + 8 = -4 + 8 = 4.

Third term, a3 = a2 + 8 = 4 + 8 = 12.

Fourth term, a4 = a3 + 8 = 12 + 8 = 20.

Fifth term, a5 = a4 + 8 = 20 + 8 = 28.

Sixth term, a6 = a5 + 8 = 28 + 8 = 36.

So, the first six terms of the given sequence are  -4, 4, 12, 20, 28 and 36.

Hence, the correct option is 3) 4, 12, 20, 28, 36, 44.

Question 2= The given sequence is a1 = -8 and an = 5an-1.

Here, to find the first six terms of the given sequence, we need to substitute the values of n from 1 to 6.

So, the first six terms of the given sequence are as follows:

First term, a1 = -8.

Second term, a2 = 5a1 = 5(-8) = -40.

Third term, a3 = 5a2 = 5(-40) = -200.

Fourth term, a4 = 5a3 = 5(-200) = -1000.

Fifth term, a5 = 5a4 = 5(-1000) = -5000.

Sixth term, a6 = 5a5 = 5(-5000) = -25,000.

So, the first six terms of the given sequence are  -8, -40, -200, -1000, -5000 and -25,000.

Hence, the correct option is 1) -8,-40, -200,-1000,-5000, -25,000.

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During a blind taste test of 8 different sodas, some people were asked to choose a favorite. Each dot represents one person. If the ratio of people choosing B to people choosing H stays the same, he many people will choose H if the number of people who choose B increases to 20​

Answers

Answer:

20:5

Step-by-step explanation:

1. What is the ratio for B and H?

Ratio = 4 to 1 or 4:1

2. What is the question asking?

The question is increasing 5 to 20. What is the quotient of 20 and 5? 4! The question is basically multiplying B by 5. Now, since math is a very jealous subject, it needs to be done on the other side too! So you need to multiply the B, which is 1, by 5.

3. 1 x 5?

5

4. Answer

So, since B is 20 and H is 5, the ratio would be 20:5!

Hiii, so I REALLY want to rank up, and I just need 4 more Branliests, so if you liked my answer, can you please give me one? Thank you so much, and thanks for the points!!

Answer:

Step-by-step explanation:

J

HELP please!!
What would the container look like for this depth vs height graph??

Answers

Curvy the container is nicki manji

Consider the situation where the maximum temperature in degrees Farenheit for the seven successive days in a certain week is the vector random variable, (T1,..., 77), where T₁ ~ N(75,0² = 4), Tj+1=14+0.87, +3Xj, j = 1,...6, where X₁,..., X6 i.i.d. U[-1,1]. A weather derivative pays $100 if there are two or more days with maximum temperatures below 70 degrees. Using Monte Carlo simulation com- pute the fair price of this derivative with n= 105 sample paths. Ignore the time value of money for a week. [Hint: Generate the sample temperature paths using the iterative formula step by step. Create a matrix to store sample temperature paths using command "ma- trix(NA,nrow-n,ncol=7)", then fill in each column (each day) of the sample paths. Think about how to write the code to check the number of days with maximum temperature below 70. The option price is estimated using the sample mean of payoffs.]

Answers

To determine the fair price of a weather derivative, use Monte Carlo simulation to generate sample temperature paths, count the number of days below 70 degrees for each path, calculate the payoffs, and estimate the derivative price using the sample mean.

To compute the fair price of the weather derivative using Monte Carlo simulation, you can follow these steps:

Generate n sample paths for the maximum temperature using the given iterative formula and the specified distribution of X₁,...,X₆. Create a matrix to store the sample temperature paths.

For each sample path, count the number of days with a maximum temperature below 70 degrees.

Calculate the payoff for each sample path: If the number of days below 70 degrees is two or more, the payoff is $100; otherwise, the payoff is $0.

Estimate the option price by taking the sample mean of the payoffs.

Here's a summary of the steps to determine the fair price of the derivative:

Generate n sample paths for maximum temperature using the iterative formula and the specified distribution.

Count the number of days below 70 degrees for each sample path.

Calculate the payoff for each sample path: $100 if the count is two or more, $0 otherwise.

Estimate the fair price of the derivative by taking the sample mean of the payoffs.

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Maria made $192 for 12 hours of work.
At the same rate, how much would she make for 17
hours of work?

Answers

Answer:

192/12=16 per hour

16 x 17 = 272

Step-by-step explanation:

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What is the significance of Salomon v A Salomon & Co Ltd [1897]AC 22? What is the corporate veil and when is it permitted to belifted under the Corporations Act? The opinion that one's own way of life is natural or correct and the only true way of being fully human is called:_________ The function B is defined any positive whole number N as being the product BN=(N-1)(N-2)(N-3) what is the sum of B1,B2,B3 and B4? Astronomers will never directly observe the first few minutes after the Big Bang becausea) light from so early in the Universe's history has been redshifted out of the observable electromagnetic spectrum.b) inflation made the Universe opaque for several thousand years.c) the four fundamental forces had not yet merged into one combined force.d) before the cosmic microwave background was emitted, the Universe was opaque. pluto differs significantly from the eight solar system planets in that (choose all that apply)a. it is farther from the sun than any classical planetb. it has a different composition than any classical planetc. its orbit is chaoticd. it is not rounde it has not cleared its orbit assume you can earn 6% on your investments and inflation is 2.5%. a nest egg of of $900,000 is invested to earn an annual return of 6%. if you retire today, the nest egg will support an annual income of $50,000 in your first retirement year and then grow by 2.5%, your estimate of inflation, over the next 30 years. someone who retires in 2050 will need to have a much larger nest egg to support the same standard of living. what's the biggest reason the nest egg will need to be larger. help pls 7th grade science which chemical used in this lab could cause skin eye irration?a. Chloroformb. Acetonitrilec. Formaldehyde Over time, as our financial system expands and develops additional sources of financing for small- to medium-sized firms, such as asset backed securities, the bank lending channel would become larger If the average individual produces 8 offspring by the end of its lifetime, will the reproductive differences among genotypes alter the population growth rate? Diseconomies of scale imply that within some range a firm can increase the size of operation and a. average total cost will decrease. b. total cost will decrease. c. average total cost will increase. d. fixed cost will decrease. 2. Which of the following is an example of monetary policy intended to reduce spending and production in the economy? a. A decrease in the money supply b. A decrease in government spending by the federal government c. An open market purchase of U.S. securities by the Federal Reserve d. An increase in the money supply 3. Which of the following is an example of fiscal policy intended to stimulate production and spending in the economy? a. a decrease in interest rates b. an increase in the money supply c. a decrease in the federal tax rate d. a decrease in government spending determining whether a graph g can be colored with k colors (a) is in p (b) is in np (c) is known to require exponential time what is the first step an original classification authority (oca) must take when originally classifying information? A random sample of 24 items is drawn from a population whose standard deviation is unknown. The sample mean =880 and the sample standard deviation is s=5.(a) Construct an interval estimate of with 99 percent confidence. (Round your critical t-value to 3 decimal places. Round your answers to 3 decimal places.)(b) Construct an interval estimate of with 99 percent confidence, assuming that s=10. (Round your critical t-value to 3 decimal places. Round your answers to 3 decimal places.)(c) Construct an interval estimate of with 99 percent confidence, assuming that s=20. (Round your critical t-value to 3 decimal places. Round your answers to 3 decimal places.) 1. For a, b, c, d e Z, prove that a c ab + cd if and only if a c ad + bc. C Assume that you have finished your substantive analytical procedures in the area of revenue. You used trend analysis and a reasonableness test and conducted the procedures at a disaggregated level. You are very pleased that your expectations are almost identical to what the client has recorded. Specifically, revenue increased in line with prior period increases and with the industry increases. You let your senior know that you likely do not have any additional work to perform. Your senior asks you to reconsider your conclusion. What is likely the primary concern of your senior? A good's demand is given by: P = 592-2Q. At P 89, the point price elasticity is: Enter as a value (ROUND TO TWO DECIMAL PLACES). From the balanced equation, the mole ratio of Al to Al2O3 is 4:2. Therefore, for 5 mole of Al, mole of Al2O3 produced = (2/4) x 5 = 2.5 moles. Hence, 2.5 moles of Al2O3 can be formed. To ensure the right clerk is selected for an opening, a law firm reviews all rsums ( C.V. 4) electronically and assesses candidates through several interviews. Specify the type of control that is illustrated in this case. [Explanation is not required) Use the editor to format your answer Consider the following: Red Bull started life as a truck drivers pick me up in Thailand called Krating Daeng, which translates as Red Bull in English. Based on market share, it is the most popular energy drink in the world. Nowadays in Europe when served with Vodka it is seen as a very trendy drink. Red Bull was initially developed in Thailand, and the rights were then bought by Austrian born Dietrich Mateschitz to market it worldwide excluding Thailand. Thailand continued producing its own brand which has a different formulae and marketing plan to the non-Thailand version.The internationalisation strategy of Red Bull was to open up new markets by securing unusual distribution channels. In the USA a Red Bull sales rep would contact a small distributor to persuade them to sell Red Bull. If they did not persuade anyone they would set up a warehouse and hired younger people to load up the vans and deliver the product. These start-up distributors could focus their entire energies on getting Red Bull fully stocked in stores with prominent shelf placement. In Europe the was built through clever repackaging and by developing a niche marketing strategy for the drink as a trendy vodka mixer to the club circuit in Europe. The sales team visited key on-premise account: hot clubs and trendy bars to establish distribution. When owners began buying a few cases, they would receive a Red Bull branded cooler and other attractive point of purchase items. Last year, Red share stood at 43 percent , with company sales being reportedly in the region of $1.3 billion dollars.QuestionIn your response, what are the key lessons managers can learn from the building of Red Bull as a worldwide brand ? (6 marks)