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defon
3 years ago
8

The manager of The Cheesecake Factory in Boston reports that on six randomly selected weekdays, the number of customers served w

as 175, 125, 180, 220, 240, and 245. She believes that the number of customers served on weekdays follows a normal distribution. Construct the 99% confidence interval for the average number of customers served on weekdays.
Mathematics
1 answer:
Oliga [24]3 years ago
5 0

Answer:

(121.576 ; 273.424)

Step-by-step explanation:

Given the data:

175, 125, 180, 220, 240, 245

We can calculate the mean and standard deviation

Mean = Σx/ n = 1185 / 6 = 197.5

Standard deviation = 46.125 (calculator)

The confidence interval :

Mean ± margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 99%, df = n - 1 ; 6 - 1 = 5

Tcritical = 4.032

Margin of Error = 4.032 * 46.125/√6

Margin of error = 75.924

Confidence interval :

197.5 ± 75.924

Lower boundary = 197.5 - 75.924 = 121.576

Upper boundary = 197.5 + 75.924 = 273.424

(121.576 ; 273.424)

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likoan [24]

It is possible for two different inputs to give you the same output. For example, -2 and 2 produce the same result: 5.

it is not possible to derive two different outputs from the same input. This is because a) y=x^2+1 is a function making it impossible to have two outputs and b) for each value, if  you square it, you only get one value, then adding one, making it one certain value.



6 0
3 years ago
A square playground has a perimeter of 120 yards. What is the length of a diagonal of the playground?
Kryger [21]

We can use Pythagorean's theorem to solve this problem:

a^2 + b^2 = c^2

a and b would both be the same value, since the shape is a square.

The sides of the square would each equal 30.

30^2 = 900

a^2 = 900   which means b^2 = 900

900 + 900 = 1,800

√1,800 ≈ 42.43

A diagonal of the playground would be about 42.43 yards!

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3 years ago
4x^2-20x+25<br> Factor the quadratic completely
MissTica

Answer:

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Step-by-step explanation:

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3 years ago
What do people mean when they say “An eye for an eye will make the whole world blind”
Scorpion4ik [409]

Answer:

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Step-by-step explanation:

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Read 2 more answers
A quadratic equation is shown below: x2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equati
Andreyy89

Answer:

<u>Add 3 to both sides of the equation</u>

Solution:

The first step is to basically realize that all it's asking you to do is to find a way to make the expression on the left (x^2  - 8x + 13) into an expression that is a perfect square. So what number should you add to both sides such that x^2 - 8x  + (13 + j) can be factored into (x-p)^2 ? Well, we can approach it like this:

Since (x-p)^2 can be turned into x^2 -2px + p^2, and our original form was x^2 - 8x  + (13 + j), we quickly realize that -2px = -8x. From there, we can easily tell that p = 4

Plug this into our last value p^2 to get 16. Therefore, if we compare this with our original equation again x^2 - 8x  + (13 + j), we notice that 13 + j = 16.

Thus, j = 3 for the last answer.

Add 3 to both sides of the equation.

Note: With more practice, you will quickly gain enough intuition to notice that x^2 - 8x + 13 is very close to x^2 - 8x + 16 which can be factored into (x-4)^2. But for now, the solution above will suffice. I hope this helps :))

5 0
3 years ago
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