a restaurant owner is interested in figuring out how to increase the average restaurant bill per guest. after changing the menu by adding more items, a random sample of 150 guests shows that the average bill per guest is $28.60. he believes that the strategy of changing the menu affected the average bill per guest. assume that the standard deviation of the population is known and it is 4.70. at the 5% significance level, how sure can he be that the average bill per guest is not $28 (the previous average bill per guest)? in other words, is there sufficient evidence to reject the null hypothesis? and your response to the question. (provide your answer with two decimal places, rounding to the nearest hundredths, as in x.xx) First, what is the p-value?(Provide your answer with two decimal places, rounding to the nearest hundredths, as in x.xx)
Second, at the 5% significance level, how sure can he be that the average bill per guest is not $28 (the previous average bill per guest)? In other words, is there sufficient evidence to reject the null hypothesis? Explain your answer.

Answer:

A. y= -3x - 1

that's the answer of you substitute the figures in x into where x can be located in A

Answer:

\(2y - 8x = 3\)

Step-by-step explanation:

\(y - 4x = 9\)

\(2y - 8x = 18\)

So 2y - 8x = 3 is parallel to y - 4x = 9.

Answer:

Step 1: Equation at the end of step 1

(((x^{2} )-4xy)+(4(((x

2

)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y

2

)))−3

2

−z

2

Step 2: Equation at the end of step 2

(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x

2

)−4xy)+2

2

y

2

)−3

2

z

2

Step 3: Final Result

x^{2} -4xy+4y^{2} -9z^{2}x

2

−4xy+4y

2

−9z

2

Answer:

\(A=\) $\(966.306\)

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

\(A=P(1+\frac{r}{n})^n^{t}\)

where

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

\(t= 5\) \(years\)

\(P=\) $\(600.00\)  

\(r=10\)% \(=10/100=0.10\)

\(n=1\)

substitute in the formula above

\(A=600(1+\frac{0.10}{1})^1^*^5\)

\(A=600(1.10)^5\)  

\(A=\) $\(966.306\)

Answer:

It might be Multiplication.

Step-by-step explanation:

When we multiply, the products are always positive if they have the same signs. For example: −2 x −4. We get a positive 8. This also applies to when we factor positive two and positive four.

Hope I helped! :)

Answer:

(12 x 12) - 44 = 100

Step-by-step explanation:

Therefore, the plastic strain from 120,000 psi is 0.6%.

To compute the plastic strain from 120,000 psi, we need to subtract the elastic strain recovery from the total strain.

Given:

Stress at yield point (fully unloaded): 90,000 psi

Elastic strain recovery: 0.3%

Total strain at 120,000 psi: 0.9%

First, let's calculate the elastic strain:

Elastic strain = Stress / Modulus of elasticity

Assuming the modulus of elasticity is constant throughout the loading and unloading process, we can find it using the stress and strain at the yield point:

Modulus of elasticity = Stress at yield point / Elastic strain at yield point

Modulus of elasticity = 90,000 psi / (0.3% / 100)

= 30,000,000 psi

Now, let's calculate the elastic strain at 120,000 psi:

Elastic strain at 120,000 psi = (120,000 psi) / (30,000,000 psi)

= 0.004

Finally, we can compute the plastic strain by subtracting the elastic strain recovery from the total strain at 120,000 psi:

Plastic strain = Total strain at 120,000 psi - Elastic strain recovery

Plastic strain = 0.9% - 0.3%

= 0.6%

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The perimeter of the rectangle is approximately 208.9 meters.

To find the perimeter of the rectangle, we need to know the length of the other side.

Let's use the formula for the area of a rectangle:

area = length x width

We know that the area is 717.8 m^2 and one of the sides (width) is 7.4 m. So we can rearrange the formula to solve for the length:

length = area / width

length = 717.8 / 7.4

length ≈ 97.05 m

Now we have both the length and width of the rectangle, so we can find the perimeter:

perimeter = 2 x (length + width)

perimeter = 2 x (97.05 + 7.4)

perimeter = 2 x 104.45

perimeter = 208.9 m

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Answer:4/5

Step-by-step explanation:

Answer:

3.16 (the 6 is repeating, so put a line over it)

Step-by-step explanation:

Answer:

1. 400y + 8

2. 40y +8

3. 16y + 8

Answer: 4 hours

Step-by-step explanation:

3/1=12/x

3x=12

x=4

The company's profits on June 1, 2002 is $4500 and the company's profits many years into the future is $1000 per month.

The equation f(t) = (t^2 + 9) / (t^2+2) provides the monthly profits, in thousands of dollar, where t refers to months after June 1, 2002.

The company’s profit on June 1, 2002 using the equation is when t = 0 months

f(0) = (0^2 + 9) / (0^2+2) = 9/2 = 4.5 or $4500.

The company’s profit on many years into the future using the equation is given by:

Limit(t→∞)((t^2+9)/(t^2+2))= Limit(t→∞)(2t/2t)=1

Hence the monthly profit is $1,000.

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The probability that exactly one of the coins is a 10p piece is 1/2.

To find the probability that exactly one of the coins is a 10p piece, we can consider the possible outcomes.

There are two coins, and each coin can be either a 10p piece or a non-10p piece. Let's consider the four possible outcomes:

1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece.

2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece.

3. Both Erin's and Jack's coins are 10p pieces.

4. Both Erin's and Jack's coins are non-10p pieces.

Since the total amount of the two coins is less than 50p, we can eliminate the third possibility (both coins being 10p pieces).

Now, let's calculate the probability for each of the remaining possibilities:

1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece:

The probability of Erin having a 10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.

2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece:

This is the same as the previous case, so the probability is also 1/4.

3. Both Erin's and Jack's coins are non-10p pieces:

The probability of Erin having a non-10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.

Now, we sum up the probabilities of the two cases where exactly one of the coins is a 10p piece:

1/4 + 1/4 = 2/4 = 1/2.

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Answer:

Step-by-step explanation:

a. 110°

b. 70°

c. 110°

d. 70°

e. 110°

f. 70°

g. 110°

The interest estimated by compounding methods are-

(a) Annual: n = 1; CI = $860

(b) Semiannual: n = 2; CI = $862.

(c) Monthly: n = 12; CI = $865

(d) Daily: n = 365; CI = $855

The formula for computing the compound interest is -

CI = A - P

A = P(1 + r/100nt)∧rt

In which,

(a) Annual: n = 1

A = 10,400(1 + 8/500)∧5

A = 10,400 x 1.08

A = 11,260

CI = 11,260 - 10,400

CI = $860

(b) Semiannual: n = 2

A = 10,400(1 + 8/1000)∧10

A = 10,400 x 1.089

A = 11,262

CI = $862.

(c) Monthly: n = 12

A = 10,400(1 + 8/6000)∧60

A = 10,400 x 1.083

A = 11,265

CI = $865

(d) Daily: n = 365

A = 10,400(1 + 8/182500)∧1825

A = 10,400 x 1.0832

A = 11,255

CI = $855

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Answer:

a(n) = 7n + 33

Step-by-step explanation:

This sequence is arithmetic meaning it has a common difference. You can find this by subtracting a term from the term that comes after it. In this case, 47-40=7, so 7 is our common difference. Now we can start the formula where a(n)=7n+b, where a(n) is the value of a term and n is the number of the term. Now all we have to do is plug in some numbers.

a(n)=40 when n=1 as the first term of the sequence is 40. This means that 40=7(1)+b, or 40=7+b, or 33=b. This means that the explicit formula is a(n)=7n+33.

The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.

Location of Vic relative to the tower = South

Vic's sight angle of elevation to the top of the tower = 61°

Dan's location with respect to the tower = West

Dan's angle of elevation in order to see the top of the tower = 72°

Height of the tower = 553.3m

\(tan( \theta) = \frac{opposite}{adjacent} \)

\(tan( 61 ^{ \circ}) = \frac{553.3}{ Vic' s\: distance \: to \: tower} \)

\(distance = \frac{553.3}{tan ( {61}^{ \circ} )} = 306.7\)

Similarly, we have;

\( Dan's distance = \frac{553.3}{tan ( {72}^{ \circ} )} = 179.8\)

Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan d is found as follows;

Therefore;

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Answer:

The y-value of Point A is 1.

Step-by-step explanation:

Because Point A only went up one (1) the coordinate plane.

Answer:

1

Step-by-step explanation:

I'm trying to help the guy above get the brainliest :)

The nutritionist should use a statistical hypothesis test to determine if the average total cholesterol level of the population is significantly higher than the ideal standard. The test will compare the average of the 25 women to the ideal standard

The nutritionist should use a statistical hypothesis test to compare the average cholesterol of the 25 women to the ideal standard of 200 mg/dl. To do this, the nutritionist will first determine the null hypothesis, which is that the average total cholesterol of the population of women in her area is not significantly different from the ideal standard. Then, the nutritionist will calculate the test statistic, which is the difference between the average cholesterol of the 25 women and the ideal standard, divided by the standard deviation of the sample population. This test statistic will be compared to a predetermined significance level and if it is greater than this level, it will be considered statistically significant. If the test statistic is found to be statistically significant, the nutritionist can conclude that the population has a higher average cholesterol than the ideal standard.

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Answer:

he reached school on time what sentence is that

Title: Analysis of Gasoline Prices in Pennsylvania During Memorial Day Weekend

Introduction and Problem Background:

This report analyzes the prices of regular gasoline in Pennsylvania during Memorial Day weekend in 2010. The average price reported by AAA is $2.65 per gallon. The purpose of this analysis is to determine if the prices observed in a sample of 15 randomly selected stations differ significantly from AAA's findings.

Data Description:

The prices per gallon of regular gasoline for 15 randomly selected stations are as follows: $2.73, $2.59, $2.74, $2.65, $2.71, $2.73, $2.51, $2.71, $2.61, $2.64, $2.58, $2.46, $2.64, $2.74, and $2.58.

Calculate the mean:

The mean price of regular gasoline for the sample is $2.64 per gallon. This means that the average price of gasoline for the 15 stations is slightly lower than the average reported by AAA.

Calculate the upper and lower limits of the box-plot:

The lower limit is $2.46 per gallon, and the upper limit is $2.74 per gallon. This means that 50% of the prices fall within this range.

Construct the 95% confidence interval:

The 95% confidence interval is ($2.54, $2.74) per gallon. This means that we are 95% confident that the true population mean falls within this range.

Analyses:

The box-plot shows that the prices are fairly consistent with the majority of the stations falling within the interquartile range. The confidence interval is narrow and does not include the AAA reported mean price of $2.65 per gallon.

Interpretation of Results and Conclusion:

Based on the analysis, we cannot validate AAA's findings. The mean price of gasoline in the sample is slightly lower than the reported mean. The confidence interval does not include the reported mean, and the box-plot shows that the prices are fairly consistent across the 15 stations. Overall, we can conclude that the prices of regular gasoline in Pennsylvania during Memorial Day weekend in 2010 did not significantly differ from the AAA reported average price.

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Answer:

y =9

Step-by-step explanation:

11y=(18)²-(15)²

Square the terms

11y = 324-225

Subtract

11y=99

Divide by 11

11y/11 = 99/11

y =9

Answer:

y=9

Step-by-step explanation:

11y=(18)²-(15)²

18 exponent 2 is 324 and 15 exponent 2 is 225.

324-225 = 99 so

11y=99

Now Isolate the variable by dividing by 11 on both sides

11y÷11=99÷11

y=9

Explanation is in the photo

The Accounting project for Grade 12 in Term 2 of 2022 in the Eastern Cape was a comprehensive assessment of students' accounting knowledge and skills.

The accounting project for Grade 12 in Term 2 of 2022 in the Eastern Cape served as a crucial assessment tool for evaluating students' understanding and application of accounting principles and concepts. This project aimed to assess their ability to analyze financial transactions, prepare financial statements, and apply accounting standards and procedures accurately.

During this project, students were typically required to complete a series of tasks that simulated real-world accounting scenarios. They were given a set of financial data, such as invoices, receipts, bank statements, and purchase orders, and were expected to record and process these transactions in appropriate accounting journals and ledgers. Students also had to prepare financial statements, including income statements, balance sheets, and cash flow statements, based on the given data.

The evaluation of the accounting project involved assessing various aspects of students' work. The accuracy and completeness of the recorded transactions, adherence to accounting principles, and the presentation and interpretation of financial information were all crucial factors in determining the final grade. Teachers assessed students' ability to demonstrate critical thinking, problem-solving skills, and attention to detail in their accounting work.

Overall, the accounting project for Grade 12 in Term 2 of 2022 in the Eastern Cape provided students with an opportunity to apply their theoretical knowledge to practical accounting scenarios. It served as a comprehensive assessment that tested their understanding of accounting principles, their proficiency in using accounting software and tools, and their ability to communicate financial information effectively.

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Answer:

94.5 minutes or 1 hour and 34.5 minutes

Step-by-step explanation: If it takes you 7 minutes for 2 math problems then that means it takes you 3.5 minutes for one problem. Then you multiply it by 27 and you get 94.5 minutes you can convert it into 1 hour and 34.5 minutes if you want.

Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.

Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.

Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.

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The capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel algorithm over a sequential algorithm.

The differences between parallel algorithm and sequential algorithm are-

Sequential algorithm

Parallel algorithm

Due to capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel algorithm over a sequential algorithm.

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Answer:

50  (hope this helps, have a good day)

Step-by-step explanation:

just divide The area divided by 2