Business Success Restaurant owners are continually monitoring financial aspects and customer relations of their business. They use collected data to recognize trends, predict outcomes, and plan for the future. In this task, you will play the role of a restaurant owner. You will collect data and analyze different aspects of your business. As you complete the task, keep these questions in mind: Can you predict sales based on factors such as the weather and the number of customers? Can you estimate the amount you will earn in tips on a given day based on the number of customers? Directions: Complete each of the following tasks, reading the directions carefully as you go. You may use a piece of graph paper for this task. Round all decimals to the nearest hundredths place or to the nearest cent for this task. You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all of your work and to answer each question as you complete the task. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations. Your teacher will give you further directions on submitting your work. You may be asked to upload the document, e-mail it to your teacher, or hand in a hard copy. Now let’s get started! Step 1: Constructing and analyzing scatterplots You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below. Hot Chocolate Sales and Outside Temperatures Sales ($) $100 $213 $830 $679 $209 $189 $1,110 $456 $422 $235 $199 Temperature (°F) 92° 88° 54° 62° 85° 16° 52° 65° 68° 89° 91° a) ​Make a scatterplot of the data above. (2 points) b) Do you notice clusters or outliers in the data? Explain your reasoning. (2 points) c)​How would you describe the correlation in the data? Explain your reasoning. (2 points) d) What are the independent and dependent variables? (2 points)

Answer:

f(x)=11.1035−0.920848x

Step-by-step explanation:

Answer: y=2x+7

(this is a rearranged version of y-2x=7 from question)

Step-by-step explanation:

4x=5-2y

y-2x=7

i would rearrange the 2nd value into y intercept form y=mx+b

so move the -2x to the other side of the = sign by doing the opposite, +2x on both sides to isolate the y

y=2x+7

you didn't give any options for "correct answer" so i can't give

you A B C or D answers

The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

From the question, we are to determine the approximate solution to the given equation,

The given equation is

[tex]4lnx -8 =12[/tex]

First, add 8 to both sides

[tex]4lnx -8+8 =12+8[/tex]

[tex]4lnx =20[/tex]

Now, divide both sides by 4

[tex]ln x =\frac{20}{4}[/tex]

[tex]ln x = 5[/tex]

Take the exponents of both sides

[tex]e^{lnx} = e^{5}[/tex]

x = 148.413

x ≅ 148.4

Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

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The material wasted is 7915.375 sq cm.

The product of its length and breadth.

Area = length* breadth

Given:

length= 150 ac, breadth = 100 cm

d= 0.9m 5cm

r= 47.5 cm

Area of rectangle,

= l * b

= 150*100

= 15000 sq. cm

Area of Circular cloth,

= πr²

=3.14*47.5*47.5

=7084.625 sq cm.

Hence, the wasted material is = 15000-7084.625

                                                  = 7915.375 sq cm

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Answer:

84.8

Step-by-step explanation:

Begin by finding the total area of the circle. You have been given the radius.

A = πr²

A = π(6)²

A = 36π

A = 113

If there is only 3/4 of the circle, then multiply the entire area by 3/4 to find the final answer.

113 x 3/4 = 84.8

The 62.5% of residences in the country that are rentals if the total number of residence in the country is 144,000.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We are assuming:

Total number of residence in the country = 144,000

In which 900,00 residences are rentals.

Percentage of residences in the country that are rentals:

= (90000/144000)×100

= 0.625×100

= 62.5%

Thus, the 62.5% of residences in the country that are rentals if the total number of residence in the country is 144,000.

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Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

So we replace "x" with the necessary value (3):

[tex]f(3) \: = \: 2 \: \times \: 3[/tex]

[tex]f(3) \: = \: \boxed{ \bold{6}}[/tex]

[tex]\text{Opción A. } \boxed{ \bold{55}}[/tex]

The probability of drawing three queens from a standard deck of cards is 0.000162.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Total cards = 54

No. queens in a deck = 4

Probability of drawing a queen card = 4/54

Now that 1 queen has been taken, the no. of cards becomes = 53

and

no. of queens = 3

Probability of getting a queen again = (3/53)(4/54)

Two queens have already been removed.

No. of cards in the deck = 52

No. of queens in the deck = 2

Probability of drawing three queens

= (2/52)(3/53)(4/54)

= 0.000162 approximately

The probability of drawing three queens from a standard deck of cards is 0.000162.

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Answer:

D. 2<=x<=6

Step-by-step explanation:

domain: all possible x-values

This are function used to determine the term of a sequence. The second and the third term of the sequence is 6 and 18

This are function used to determine the term of a sequence. Given the following functions

an+1 = 3an

Given that a1 = 2

a2 = 3a1

a2 = 3(2)

a2 = 6

For the third term a3

a3 =3a2

a3 = 3(6)

a3 = 18

Hence the second and the third term of the sequence is 6 and 18

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Answer:

[tex]C= 62.8m[/tex]

Step-by-step explanation:

Let's round [tex]\pi = 3.14[/tex]. Area of a circle if [tex]\pi r^2[/tex]. In our case, we can easily find out the radius[tex]\pi r^2 = 100\pi \rightarrow r=10m^[/tex]. At this point, it's easy to find the length of the circumference by doubling it and multiplying again by [tex]\pi[/tex]:

[tex]C= 2\pi r = 62.8 m[/tex]

Answer: 432

Step-by-step explanation:

  12

x 36

--------

    72

+ 36

-------

432

Answer:

It is the third option

Step-by-step explanation:

Trust me

Answer:

Step-by-step explanation:

Answer:

1.5 or 3/2

Step-by-step explanation:

[tex]\frac{2x+1}{2x-1} =2\\(\frac{2x+1}{2x-1} )(2x-1)=2(2x-1)\\2x+1 = 4x-2\\2x+1-4x=4x-2-4x\\-2x+1=-2\\-2x+1-1=-2-1\\-2x=-3\\x=\frac{-3}{-2} \\=1.5 or \frac{3}{2}[/tex]

Answer:

[tex]the \: probability \: is \: \frac{5}{60} \\ when \: simplified \: becomes \: \frac{1}{12} [/tex]

Step-by-step explanation:

The solution is in the image

Answer:

i think its 4.7

Step-by-step explanation:

Answer:

AC is an enlargement of AE

scale factor = 11.7 ÷ 5.2 = 2.25

CD is an enlargement of AB

10.5 ÷ 2.25 = 4.666666...

= 4.7 (rounded to nearest tenth)

Since the limit of f(x) is non-zero, the limit distributes over the quotient and

[tex]\displaystyle \lim_{x\to c} \frac{g(x)}{f(x)} = \frac{\displaystyle \lim_{x\to c}g(x)}{\displaystyle \lim_{x\to c}f(x)} = \frac{\dfrac15}{-4} = \boxed{-\frac1{20}}[/tex]

Step-by-step explanation:

1. So first you have to cross multiple the two terms

2.Solve the algebraic equation

By dividing with 12 on both sides

(Note :That's a 32 in the picture sometimes i really write bad)

Answer:

x is 92 degrees

The lines x and a are parallel and congruent, meaning they are evenly proportioned and have the same length.

Answer:

(f+g)(x) = 3x^2+x+1

Step-by-step explanation:
It may look hard at first, but all the question is asking you to do is add both of the equations together.

(f+g)(x) = (3x^2-1) + (x+2)
(f+g)(x) = 3x^2+x+1

Answer:

-2c-16

Step-by-step explanation:

do 7-9 because it's the only thing you can solve.
--> -2c-16

The slope is the change in vertical axis of a graph to its horizontal axisor the rise to run of a line.

The slope is the change in vertical axis of a graph to its horizontal axis. This can also be the rise to run of a line.

The formula for calculating the slope of a line is given asL

Slope = rise/run

It can also be expressed as:

Slope = change in y-axis/change in x-axis

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Answer:

B

Step-by-step explanation:

To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new x-value and the x-value of the original point becomes the new y-value with the opposite sign.

In a data set, the proportion of items that are in a particular category is called the Relative Frequency

Frequency mean how often an event can occur , an relative frequency means how many times that event will occur with respect to the total number of events.

For determining Relative frequency , we need to know the frequency for a particular event and the total number of event.

The proportion of items that are in a particular category is called the Relative Frequency.

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Answer:

3 < x < 6

Step-by-step explanation:

1) Subtract 2 from the whole equation.

- 13 - 2 > -5x > -28 - 2

2) Simplify.

-15 > -5x > -30

3) Divide the whole equation by -5.

-15/-5 < x < -30/-5

4) Simplify.

3 < x < 6

The total value of Daniel's large assets is $59,600

From the question, we are to determine the total value of Daniel's assets

From the given information,

Daniel has $600 in a checking account and he has $12,000 in a savings account.

He also owns a $12,000 car and a $35,000 house

Then,

The total value of his assets = $600 + $12,000 + $12,000 + $35,000

The total value of his assets = $59,600

Hence, the total value of Daniel's large assets is $59,600

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Answer: 47,000

Step-by-step explanation:

large assets: House+car

12,000+35,000=47,000