The following graph portrays the distribution of the number of spicy chicken sandwiches sold at a nearby Wendy's for the last 141 days.
The mean number of sandwiches sold per day is 91.9 and the standard deviation is 4.67. (Round your answers to 2 decimal places.)

If we use the Empirical Rule, on 68 percent of the days sales will be between

95 percent of the days sales will be between

The Following Graph Portrays The Distribution Of The Number Of Spicy Chicken Sandwiches Sold At A Nearby

Answers

Answer 1

68% of the day's sales will be between 87.23 and 96.57 and on 95% of the days, sales will be between 82.56 and 101.24.

What is the empirical rule?

If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.

We have:

The mean number of sandwiches sold per day is 91.9 and the standard deviation is 4.67.

As we know, from the empirical rule, 68% of the data will lie in one standard deviation of the mean, i.e., in the interval with the endpoints x±s

for samples and with endpoints u±б for the population.

x = 91.9

s = 4.67

x - s = 91.9 - 4.67 = 87.23

x + s = 91.9 + 4.67 = 96.57

68% of the day's sales will be between 87.23 and 96.57

95% of the data will lie within two standard deviations of the mean, which means in the interval with the endpoints  x±2s for samples and with endpoints  u±б population.

x - 2s = 82.56

x + 2s = 101.24

On 95% of the days, sales will be between 82.56 and 101.24

Thus, 68% of the day's sales will be between 87.23 and 96.57 and on 95% of the days, sales will be between 82.56 and 101.24.

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Related Questions

graph the equation y+3=2(x+3)?

Answers

Answer:

  see attached

Step-by-step explanation:

You recognize the equation of the line as being given in point-slope form:

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

  y +3 = 2(x +3) . . . . . . given equation

This tells you the point is (h, k) = (-3, -3), and the slope is m = 2.

__

You can graph the equation by plotting the point (-3, -3) and drawing a line with a slope of 2. It will rise 2 units for each unit to the right.

Urgent my safari wont work! 20 pts!!

What’s the square root of 32006???

Answers

178.902208 this is it

A few years ago, Sarah acquired a parcel of land valued at $13,800. Today, that same parcel of land has a value of $14,766. Find the percent increase in the property's value. Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

7%

Step-by-step explanation:

[tex] \frac{14766 - 13800}{13800} \times 100 = 7 [/tex]

The percent increase in the property's value is 7% if the parcel of land is valued at $13,800. Today, that same parcel of land has a value of $14,766.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

A few years ago, Sarah acquired a parcel of land valued at $13,800. Today, that same parcel of land has a value of $14,766

Percentage increase:

[tex]= \rm \dfrac{14766-13800}{13800}\times 100[/tex]

= 7%

Thus, the percent increase in the property's value is 7% if the parcel of land is valued at $13,800. Today, that same parcel of land has a value of $14,766.

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Set up a linear system and solve. A cash register contains $5 bills and $50 bills with a total value of $345. If there are 15 bills total, then how many of each does the register contain?

Answers

Answer:

6 $50 bills and 9 $5 bills

Step-by-step explanation:

Let's let x = the number of $5 bills, and y = the number of $50 bills. With this, we can set up two equations:

5x + 50y = 345

x + y = 15

Because there is $345 total in the register, that means that 5 times the number of $5 bills plus 50 times the number of $50 bills would equal 345. And there are 15 bills total, so the numbers added is 15. Now, we can solve these equations through substitution:

x + y = 15

x = 15 - y

Now, plug in (15 - y) for x into the other equation, and solve for y:

5(15 - y) + 50y = 345

75 - 5 y + 50y = 345

75 + 45y = 345

45y = 270

y = 6

Since y is 6, that means we have 6 $50 bills. And there are 15 bills total, so there are 9 $5 bills. (15 - 6 = 9)

Which table represents a nonlinear function?

Answers

The answer is the furthest to the left

Someone answer this, thank you!

Answers

Step-by-step explanation:

1) the equation of the line represented is

y=0.5x+3 (slope-interception form), the slope is 0.5, the intercept is 3.

x-2y+6=0 (common form);

2) x-intersection is at -6, y-intersection is at 3.

The Taieri Plain in New Zealand is 6 feet below sea level (or –6 feet). If you are standing 3 feet above sea level, is your elevation the opposite of the elevation of the plain? Describe the steps you would follow with a vertical number line to find the answer.

Answers

Answer :Opposite numbers are the same distance from 0 on the number line, but in opposite directions. Steps I would follow:

first, check the directions to make sure they are opposite,

then read the digits, or count the tick marks or compare lengths with dividers or ruler or marks on a piece of paper to see if the distances are the same.

3 is not the opposite of -6

__

6 is the opposite of -6

for the previous problem some of the work was done for you remember when solving a quadratic equation you must start with all terms on one side and put it in standard form for the following equations first put the equation in standard form and them use quadratic formula to solve 9x^2 -25 = -12-10x
4n^2-1=-12n +3n^2+11

Answers

Solving the given equations we get,

Solutions of quadratic equation [tex]9x^2-25=-12-10x[/tex] are x=0.77 and -1.88Solutions of quadratic equation [tex]4n^2-1=12n+3n^2+11[/tex] are n=12.93 and -0.93

If the quadratic equation is [tex]ax^2+bx+c=0[/tex] then the solutions of this are given by,

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Here in the problem given that,

The first quadratic equation is [tex]9x^2-25=-12-10x[/tex]

Converting it into standard form of quadratic equation we get,

[tex]9x^2-25=-12-10x\\9x^2-25+12+10x=0\\9x^2+10x-13=0[/tex]

So here a=9,b=10,c=-13

The solutions of the equation is given by,

[tex]x=\frac{-10\pm\sqrt{10^2-4\times9\times(-13)}}{2\times9}=\frac{-10\pm\sqrt{100+468}}{18}\approx\frac{-10\pm23.83}{18}[/tex]

So either,

[tex]x=\frac{-10+23.83}{18}=\frac{13.83}{18}\approx0.77[/tex]

Or,

[tex]x=\frac{-10-23.83}{18}\approx-1.88[/tex]

So the solutions are given by x=0.77 and -1.88

Second quadratic equation is [tex]4n^2-1=12n+3n^2+11[/tex]

Converting the equation in its standard form we get,

[tex]4n^2-1=12n+3n^2+11\\4n^2-1-12n-3n^2-11=0\\n^2-12n-12=0[/tex]

so here a=1,b=-12,c=-12

Solutions are given by,

[tex]n=\frac{-(-12)\pm\sqrt{(-12)^2-4\times1\times(-12)}}{2\times1}=\frac{12\pm\sqrt{144+48}}{2}\approx\frac{12\pm13.86}{2}[/tex]

So either

[tex]n=\frac{12+13.86}{2}=12.93[/tex]

Or,

[tex]n=\frac{12-13.86}{2}=-0.93[/tex]

Solutions are given by n = 12.93 and -0.93

Hence the solutions are x=0.77 and -1.88 for first equation and n=12.93 and -0.93 for second equation.

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What is the solution to the equation below? Round your answer to two
decimal places.
log2(2x-1) = 3
A. x=4
O B. x= 1/2
732
O c. x = 2/
O D. x = 5

Answers

Answer:

D. x=5

The answer is x=4.50 then it is rounded off to 5. So, the answer is 5.

Step-by-step explanation:

Find the domain of the inequality:[tex]2x-1\geq 0[/tex]

Rearrange terms to the left side of the equation:[tex]2x\geq 1[/tex]

Divide both sides of the inequality by the coefficient of the variable:

=> [tex]x\geq \frac{1}{2}[/tex]

The domain of the inequality is:[tex]x\geq \frac{1}{2}[/tex]

Convert logarithm to exponential form:[tex]2^{3}=2x-1[/tex]

Calculate the power:[tex]8=2x-1[/tex]

Rearrange terms to the left side of the equation:[tex]-2x= -8-1[/tex]

Calculate:[tex]-2x=-9[/tex]

Divide both sides of the equation by the coefficient of the variable:[tex]x=\frac{-9}{-2}[/tex]

=> [tex]x=\frac{9}{2}[/tex]

=>[tex]x=4.5\\[/tex]

Round the number: [tex]x=4.50[/tex]

Answer: [tex]x=4.50[/tex]

=> [tex]x=5[/tex]

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Answer:

x = 9/2

Step-by-step explanation:

Lief starts saving for his future and deposits $425 each month at 5.7% annual interest, compounded monthly, for 25 years. At the end of 25 years, he has an account balance of $281,292.21. How much of this did Lief contribute and how much of this is interest?

Answers

Using proportions, it is found that the amounts are given as follows:

Amount deposited: $127,500.Amount of interest: $153,792.21.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The amount deposited is of $425 each month for 25 years, that is, $425 in 25 x 12 times, that is:

D = 425 x 25 x 12 = $127,500.

The amount of interest is the total amount subtracted by the amount deposited, hence:

I = 281,292.21 - 127,500 = $153,792.21.

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Which describes how the parent function, f(x) = |x|, is transformed to show the function
f(x) = 0.1|x – 3|?

It is wider and shifted 3 units to the left.
It is wider and shifted 3 units to the right.
It is narrower and shifted 3 units to the left.
It is narrower and shifted 3 units to the right.

Answers

It is wider and shifted 3 units to the left , Option A is the right answer.

What is a Function ?

Function is a mathematical statement that shows relation between two variables.

The parent function given is

f(x) = |x|

The transformed function is given by

f(x) = 0.1|x -3|

The function is shifted towards the left

and as the scale factor is 0.1 therefore , It is wider

Therefore Option A is the right answer.

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Answer:

The answer for this is B.

Step-by-step explanation:

Figured it out the hard way on EDGE. 2022

(╯‵□′)╯︵┻━┻

Graph the feasible region for the follow system of inequalities by drawing a polygon around the feasible region. Click to set the corner points. 2 x + 4 y ≤ 36 7 x + 5 y ≤ 63 x ≥ 0 y ≥ 0 { 2x+4y ≤ 36 7x+5y ≤ 63 x ≥ 0 y ≥ 0

Answers

Feasible region for the given inequalities is shaded via black color in graph.

What is Inequalities?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Here, given Inequalities are;

      2 x + 4 y ≤ 36

      7 x + 5 y ≤ 63

      x ≥ 0 y ≥ 0

The graph of given inequalities are given below and the feasible region is shaded with the black color.

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PLEASE HELP!!!!

Which operation should you perform last in the expression 3^2 + 2?

Answers

Answer: the +2

Step-by-step explanation: PEMDAS. Exponents are before addition in the sequence. I hope this helps!

(The E standing for exponents and the A standing for addition)

Graph the feasible region subject to the following constraints:
7x+11y≤ 1540
x+3y ≤ 360
x+y≤ 200
x≥0
y≥0

Answers

The attached graph represents the graph of the constraints

How to graph the feasible region?

The constraints are given as:

7x+11y≤ 1540

x+3y ≤ 360

x+y≤ 200

x ≥ 0, y ≥ 0

Next, we plot the graph of the constraints using a graphing calculator

From the graph (see attachment), we have the coordinates of the feasible region to be (66, 98), (120,80) and (165,35)

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What is the range of the function in the graph?
. 1≤x≤6
B. 20≤y≤60
C. 20≤x≤60
D. 1≤y≤60

Answers

Answer:

B

Step-by-step explanation:

Range is all the possible values of 'y'. As seen in the graph, the smallest value of 'y' is 20, where the point is (6, 20), and the largest value of 'y' is 60, where the point is (1, 60). Therefore, the range is B. 20≤y≤60

The best possible solution would be B !
Hope this helps :)

The circle below is centered at the point (-1, 2) and has a radius of length 3.
What is its equation?
O A. (*+ 1)2 + (y- 2)2 = 9
O B. (x- 2)2 + (y + 1)? =
32
O c. (x- 1)2 + (y + 2)2 = 9
l
O D. (x+ 2)2 + (y- 1)2 =
32

Answers

Answer:

it should be option A

and in option there should be "x" instead of "*"

Equation of circle is,

⇒ (x + 1)² + (y - 2)² = 9

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle below is centered at the point (-1, 2) and has a radius of length 3.

Now, We get;

The equation of circle is,

⇒ (x - (- 1))² + (y- 2)² = 3²

⇒ (x + 1)² + (y - 2)² = 9

Thus, Equation of circle is,

⇒ (x + 1)² + (y - 2)² = 9

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? Question
Select the graph of the transformation.
The graph f(x)=√√ is transformed to form
shows g(x).

Answers

Answer: The vertex of the graph of [tex]y=x^2[/tex] is shifted to the right 4 units and up 3 units.

Find the equation of a line that is perpendicular to Y= 4X +5 that passes through (2,-5)

Answers

Answer:

4y +x =18

Step-by-step explanation:

y - (-5) -1

----------- = ------

x - 2 4

4y +20 = -x+2

4y +x =18

Select all the correct graphs.
Choose the graphs that indicate equations with no solution.

Answers

There is no graphs shown

A contemporary building has a window in the shape of a parallelogram with a base of 90 in and an adjacent side of 40 in. How many inches of trim are needed to surround the​ window?

Answers

260 inches of trim are needed to surround the​ window.

What is the surface area?

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

Actually, all we need is a trim that is the same size as our window and equal to the parallelogram's circumference, which is

The sum of the side is;

⇒Length of lower side + Length of the upper side

⇒ 90+90

⇒180 inches

The sum of adjacent sides;

Sum of adjacent sides  =  40+40

Sum of adjacent sides  = 80 inches

The length you should trim is needed to surround the​ window is found as;

⇒ 180 inches + 80 inches

⇒260 inches

Hence,260 inches of trim are needed to surround the​ window.

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3.14(a2 + ab) when a = 4 and b = 3​

Answers

Step-by-step explanation:

how does the picture fit into this question ?

I guess you mean

(a² + ab)

when a = 4 and b = 3. then we simply replace the variable names by the actual values and calculate :

4² + 4×3 = 16 + 12 = 28

.

now to the picture :

i am not sure what the requested result of procedure is.

so, I am just going to simplify the expression :

(log(25) - log(4)) / (log(55) - 1/2 × log(2)

remember the rules of the logarithm :

log(a) - log(b) = log(a/b)

k × log(a) = log(a^k)

a^(1/2) = sqrt(a) (the square root of a)

I assume we are using the logarithm to the base of 10.

so, we have here

log(25/4) / log(55/sqrt(2)) =

= 0.795880017... / 1.589847692... = 0.500601423...

Find the area of a 150° sector of a circle whose radius is 3.

Answers

Answer: [tex]\frac{15\pi}{4}[/tex]

Step-by-step explanation:

[tex]A=\pi(3^{2})\left(\frac{150}{360} \right)=\boxed{\frac{15\pi}{4}}[/tex]

What linear function can be represented by the set of ordered pairs?

{(−1,−10),(3,2),(5,8),(7,14)}



Enter your answer in the box.

Answers

y = 3x - 7

just find the slope then use two point and point slope form to solve for slope intercept form

Drag each sign and value to the correct location on the image. Each sign and value can be used more than once, but not all signs and values will be used. The vertices of an ellipse are at (-5, -2) and (-5, 14), and the point (0, 6) lies on the ellipse. Drag the missing terms and signs to their correct places in the standard form of the equation of this ellipse.

Answers

The complete equation of the ellipse is [tex]\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]

How to complete the vertex equation?

The complete question is in the attachment

The given parameters are:

Vertex = (-5,-2) and (-5,14)Point = (-0,6)

The vertex is represented as (h, k ± a).

So, we have:

h = -5

k + a = 14

k - a = -2

Add the last two equations

2k = 12

Divide by 2

k = 6

Substitute k = 6 in k + a = 14

6 + a = 14

Solve for a

a = 8

The ellipse equation is represented as:

[tex]\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2} = 1[/tex]

So, we have:

[tex]\frac{(x + 5)^2}{b^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]

The ellipse passes through the point (0,6).

So, we have:

[tex]\frac{(0 + 5)^2}{b^2} + \frac{(6 - 6)^2}{8^2} = 1[/tex]

This gives

[tex]\frac{5^2}{b^2} + \frac{0}{8^2} = 1[/tex]

Evaluate the quotient

[tex]\frac{5^2}{b^2} = 1[/tex]

Cross multiply

[tex]b^2 = 5^2[/tex]

Take the square root of both sides

b = 5

Substitute b = 5 in [tex]\frac{(x + 5)^2}{b^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]

[tex]\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]

Hence, the complete equation of the ellipse is [tex]\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]

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ADVANCED COSTING AND MANAGEMENT ACCOUNTING

A car engine manufacturer is trying to make an assessment of its operations for the past year. The
entity operates a standard marginal costing system and manufactures a state-of-the-art engine for
which the following standard revenue and cost data per unit of product is available:
Selling price $60.00
Direct material A 2.5 kg at $8.50 per kg
Direct material B 1.5 kg at $6.00 per kg
Direct labour 0.45 hrs. at $30.00 per hour
Actual data for the twelve-month period was as follows:
Sales and production 48,000 units of the blaster were produced and sold for $2,904,000
Direct material A 121,900 kg were used at a cost of $1,005,675
Direct material B 67,200 kg were used at a cost of $420,000
Direct labour Employees worked for 18,900 hours, but 19,200 hours were paid at a cost

of $585,600.

Budgeted sales for the period were 50,000 units of Product Blaster. A recession last year meant
that the market for the product declined by 5%.
Required:
(a) Calculate the following variances.
(i) Sales volume variance.

Answers

The Sales Volume Variance of the car manufacturer for the twelve-month period is $96,000.

What is the sales volume variance?

The sales volume variance measures the financial impact of not meeting or exceeding the budgeted sales for a period.

It can be computed by finding the difference between actual and budgeted sales quantities and then multiplied by the unit selling price.

Data and Calculations:

Budgeted sales units = 50,000

Actual sales units = 48,000

Sales price per unit = $60

Actual sales revenue = $2,904,000

Budgeted sales revenue = $3,000,000 ($60 x 50,000)

Sales volume variance = $96,000 ($3,000,000 - $2,904,000)

Thus, the Sales Volume Variance is $96,000.

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In the equation y/6 = 156, what is the next step in the equation solving sequence

Answers

Answer:

Linear Equations In One Variable =

Next step :

in the equation y/6 = 156, it would be equivalent to y = 156 × 6.

so that :

y = 156 × 6

y = 936

this equation solved. (Answer : 936)

What is 60 percent of 92?

1.53

5.52

15.3
O 55.2
49:03 mins pls help me with this

Answers

60 percent of 92 is 55.2

How to determine the percentage?

The statement is given as:

60 percent of 92

This means:

60% of 92

Express of as *

60% * 92

Evaluate the product

55.2

Hence, 60 percent of 92 is 55.2

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Write and solve an inequality that means a number plus four is greater than or equal to twelve.​

Answers

Answer:

[tex]x+4\geq 12[/tex]

Step-by-step explanation:

x - a number

x+4 - a number plus 4

x+4[tex]\geq[/tex] - a number plus 4 is greater than or equal to

x+4[tex]\geq[/tex]12 - a number plus 4 is greater than or equal to twelve

Answer:

Inequality:  x + 4 ≥ 12

Solution:  x ≥ 8

Step-by-step explanation:

Plus:  "+" →  to add something to something else

Greater than or equal to:  "≥" → the expression on the left side of the inequality sign is greater than the expression on the right side of the sign.

Let x be the unknown number.

A number plus four is greater than or equal to twelve:

x + 4 ≥ 12

To solve the found inequality, subtract 4 from both sides:

⇒ x + 4 - 4 ≥ 12 - 4

⇒ x ≥ 8

Therefore, the solution to the inequality is x ≥ 8.  The unknown number x can be any real number equal to or greater than 8.


[15 PTS] PLS HELP!!!

What is the end behavior of the function?

Answers

The correct answer is the fourth option.

given the formula p=k*2 w, find the value of p if k= 5 and w= - 3

Answers

P=-75 step-by-step solved it
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