Solve the following linear equation

−4(2w−7)=9(2−w)

Answers

Answer 1
Answer:

Answer:

-10

Step-by-step explanation:


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1. In order to get more female customers, a new clothing store offers free gourmet coffee and pastry to its customers. The average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260. Use this sample information to construct a 95% confidence interval for the average daily revenue. The store manager believes that the coffee and pastry strategy would lead to an average daily revenue of $1,200. Is the manager correct based on the 95% confidence interval?

Answers

Answer:

No, the manager is not correct based on the 95% confidence interval.

Step-by-step explanation:

We are given that the average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260, i.e.; X bar = $1080 and s = $260 and sample size, n = 35 .

The Pivotal quantity for 95% confidence interval is given by;

                (Xbar - \mu)/((s)/(√(n) ) ) ~ t_n_-_1

where, X bar = sample mean = $1080

                s  = sample standard deviation = $260

                 n = sample size = 35 {five-week}

So, 95% confidence interval for average daily revenue, \mu is given by;

P(-2.032 < t_3_4 < 2.032) = 0.95

P(-2.032 < (Xbar - \mu)/((s)/(√(n) ) ) < 2.032) = 0.95

P(-2.032 * {(s)/(√(n) ) < {Xbar - \mu} < 2.032 * {(s)/(√(n) ) ) = 0.95

P(X bar - 2.032 * {(s)/(√(n) ) < \mu < X bar + 2.032 * {(s)/(√(n) ) ) = 0.95

95% confidence interval for \mu = [ X bar - 2.032 * {(s)/(√(n) ) , X bar + 2.032 * {(s)/(√(n) ) ]

                                            = [ 1080 - 2.032 * {(260)/(√(35) ) , 1080 + 2.032 * {(260)/(√(35) ) ]

                                             = [ 990.70 , 1169.30 ]

No, the manager is not correct based on the fact that the coffee and pastry strategy would lead to an average daily revenue of $1,200 because the calculate 95% confidence interval does not include value of $1200.

Therefore, the store manager believe is not correct.

Final answer:

The 95% confidence interval for the store's average daily revenue is calculated to be approximately ($993.97, $1166.03). Since $1200 is outside this interval, the manager's belief that the coffee and pastry strategy will lead to an average daily revenue of $1200 is not backed by this confidence level.

Explanation:

In the field of statistics, a confidence interval (CI) is a type of interval estimate that is used to indicate the reliability of an estimate. The method for calculating a 95% confidence interval for the average daily revenue involves the sample mean, the standard deviation, and the z-score associated with a 95% confidence level, which is approximately 1.96. Let's use the provided data to calculate:

  • Calculate the standard error by dividing the standard deviation by the square root of the sample size. Here, the standard deviation is $260, and the sample size is 5 weeks * 7 days/week = 35 days. So, the standard error is $260 / sqrt(35) = $43.89.
  • Multiply the standard error by the z-score to get the margin of error. So, $43.89 * 1.96 = $86.03.
  • Calculate the lower and upper bounds of the 95% confidence interval by subtracting and adding the margin of error from/to the sample mean. So, ($1080 - $86.03, $1080 + $86.03) = ($993.97, $1166.03).

The range of this 95% confidence interval is from $993.97 to $1166.03. This means we are 95% confident that the true average daily revenue lies within this interval. Since $1200 lies outside this interval, the manager's belief is not supported by this confidence interval.

Learn more about Confidence Interval here:

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Find the hypotenuse c of the right triangle
a= 6 2/3, b=7

Answers

Answer:

29/3

Step-by-step explanation:

A^2= 400/9

B^2= 49

C^2= 841/9

C= sqr(c^2) = 29/3 or 9 2/3

The hypotenuse would be 9 2/3
Using the Pythagorean Theorem you do
6 2/3 squared + 7 squared
93 4/9 then you find the square root
And it leaves you with

9 2/3

Please help 30 points plus brainlyist who does firstDetermine which expressions can be simplified further, and which cannot. Sort the expressions into the correct
category
2x + 3y
Can Be Simplified
Cannot Be Simplified
x + x
4r +
7y + 1
4y + 4x
y + 2y

Answers

Answer:

can - y +2y

9x+6x

4x+x

can't 4y+4x

7y+1

2x+3y

Answer:

Step-by-step explanation:

expresion can be simplified is they have like terms such as

x+x=2x

y+2y=3y

expresions can NOT be simplified if they have difrerent variables or just one number suchh as

2x+3y

7y+1

4y+4x

I do not know what is 4r+

Which of the following statements best describes adjacent angles

Answers

The statement that best describes adjacent angles is that adjacent angles share a side.

What is a vertex ?

A vertex is where two non parallel lines meet.For example a triangle has 3 vertex.We can also say that vertex is a point where two non parallel lines meet to form an angle.

According to the given question the best description of adjacent angle is that they share a side.

We can say that adjacent angles are those angles which are placed next to each other.

Adjacent angle also share a common vertex but they do not overlap each other.

learn more about vertex here :

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Answer:

The correct answer to this would be D, adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a common side as well as a common vertex.

I hope this helps :)

8. John is looking for a job after graduation. The salary which he is satisfied with must be$3000 with a tolerance of $500. Choose the salary John would accept.
A $3.478
B. $3.792
C. $2,489
D. $2,256

Answers

Answer:

A

Step-by-step explanation:

Becuase he wanted more then 3000

The answer is A I took the test :)

I have done this for a million times and I always get this one wrong I need the correct answer

Answers

Answer:

A, B, and D.

Step-by-step explanation:

HEY!! remember that if a number has ^2, it basically means it's multiplied by itself. for example:

5^2 = 5 x 5

aka, 25.

You can use this to check each of the answers in your formula, like this:

if x=6, then:

x^2 < 100

6 x 6 = 36

36 < 100

A is one of your correct answers!

Also remember, if you multiply a negative by a negative, it becomes positive.

-5 x -5 = 25

-10 x -10 = 100

The answer to this is A, B, D.