A sample of 300 orders for take-out food at a local pizzeria found that the average cost of an order was $22 with $=$15. (a) Find the margin of error, if we use a 95\% confidence interval, for the average cost of an order. (b) interpret for management the margin of error. (c) If we need to be 99% confident, does the confidence interval become wider of narrower? (d) Find the 99\% confidence interval (a) Margin of Error =$ (Round to the nearest cent as needed.)

Answers

Answer 1

The margin of error for a 95% confidence interval for the average cost of an order is $0.99. This means that we are 95% confident that the true average cost of an order is between $21.01 and $22.99.

The margin of error can be interpreted as the amount of uncertainty in our estimate of the true average cost of an order. For example, if we were to take another sample of 300 orders, we would expect the average cost to be between $21.01 and $22.99 95% of the time.

If we need to be 99% confident, the confidence interval will become wider. This is because a 99% confidence interval is wider than a 95% confidence interval. The wider the confidence interval, the more uncertainty there is in our estimate of the true average cost of an order.

The margin of error for a 95% confidence interval can be calculated using the following formula:

margin of error = z * standard error

where z is the z-score for a 95% confidence interval, which is 1.96, and the standard error is 15 / √300 = 0.26.

Plugging these values into the formula, we get a margin of error of 0.99.

The interpretation of the margin of error is as follows: we are 95% confident that the true average cost of an order is between $21.01 and $22.99. This means that if we were to take many samples of 300 orders, 95% of the time the average cost would be between $21.01 and $22.99.

If we need to be 99% confident, the z-score will increase to 2.576. This means that the standard error will increase, and the margin of error will also increase. The wider the confidence interval, the more uncertainty there is in our estimate of the true average cost of an order.

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Related Questions

Area=
What is the area? Help me please. Thanks

Area=What is the area? Help me please. Thanks

Answers

The area of the square LMNP is 50 square units

How to determine the area of the square?

The circumference of the circle is given as:

C = 10π

Circumference is calculated as:

C = 2πr

So, we have:

2πr = 10π

Divide by 2π

r = 5

This represents the length OM

The length PM is calculated as:

PM = 2 * OM

This gives

PM = 2 * 5

PM = 10

The length (PN) of the square is then calculated as:

PM = PN√2

This gives

10 = PN√2

Square both sides

100 = PN^2 * 2

Divide by 2

50 = PN^2

Rewrite as:

PN^2 = 50

Hence, the area of the square LMNP is 50 square units

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What is 9+10?? Here are your answer choices
A) 21
B)21
C)21
D)21
LOL

Answers

Answer:

B

Step-by-step explanation:

9 plus 10 equals 21 because george washington was the first president of the United states and because Donald Trump lost the 2020 election

what is the equation of a line parallel to y=4 that passes through point (9,8)

Answers

Step-by-step explanation:

the equation is y=8

check the image above

please brainliest

what is the equation of a line parallel to y=4 that passes through point (9,8)

abouth wed of woy and liontin
motaslim Spod
EVED or 1968
If v varies directly with g, and v = 36 when g = 4. Find v when g = 11.

Answers

If v varies directly with g, then v = kg for some constant k. To find k, we can use the initial condition v = 36 when g = 4:
v = kg
36 = k(4)
k = 9
So the equation relating v and g is v = 9g. To find v when g = 11, we substitute into this equation:
v = 9g
v = 9(11)
v = 99
Therefore, when g = 11, v = 99.

A cylinder has a radius of 6 inches and a height of 10.What is the surface area of this cylinder ?

Answers

Answer:

exact=603.19 estimate=603

Step-by-step explanation:

Solve.

-15 = -0.2k

k =

Answers

-0.2k = -15 ( then divide -0.2k on both sides)

The answer is then k= 75

Can i have a straight answer for these questions
To dilate a figure means to change it.

The figure before the transformation is called the _____________, or original

The figure after the transformation is called the ____________ or new image. We would label that with a __________

You can identify the new figure by looking for the __________symbol

Congruence refers to whether or not a figure has the same ________ and ________ after a transformation

When you dilate a figure it keeps the same ____________ but not the same ________

Orientation of a figure is the direction a figure is _________

When you dilate a figure it __________ it’s _________

When you dilate a figure the corresponding __________ are ______________,

and the corresponding ____________ are __________________



Example 1: Write an algebraic representation that would result in an enlargement of a figure.






Example 2: Write an algebraic representation that would result in a reduction of a figure.
Example 3: State whether each statement is true or false

A polygon that is dilated will have a different orientation

When you dilate a figure the angles of the figure change

(x, y) (0.5x, 0.5y) would result in a reduction of a dilated figure

(x, y) (ax, ay) if a is between 0 and 1 the image would be an enlargement

Answers

Naruto usamaki is the greatest hokagey in the leaf village

hey everyone!! im just doing a checkup, how is everyone doing? like with your mental health. if you need any help with anything im here <3

Answers

Answer:

I could be better, I failed this quarter in ELA and Math I feel like my dad hates me. How are you?

Step-by-step explanation:

Answer:

i still behind on my work my mom and dad are upset  hopfully i can catch up and i dont think i will playing and games bc of my grade :(

Step-by-step explanation:

105÷35.
this is for a math lesson can you help

Answers

Answer: 3

Step-by-step explanation:

The answer is 3, hope this helped! :)

Nana combines 4 1/3 cups of milk and 3 2/3 cups of avocado to make an avocado shake. How many cups is her shake total?

Answers

Answer:

You add 4 1/3 + 3 2/3 and you'll have 8. Therefore, her shake has eight cups in total.

the answer is 8 cups in total

Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.

A letter is randomly chosen from the alphabet.

Answer 1:

A. Infinite

B. Finite

Answer 2:

A. Discrete

B. Continuous

Answers

Answer:

Answer 1

Because the alphabet can end,it is not unlimited

Can you guys help me with this i really need it

Can you guys help me with this i really need it

Answers

The correct expression is given as; 5a + 24.99(12). Option B

What is the correct equation?

We know that it is normal for us to be able to use an equation to be able to model a function. In this case, we have been told that the monthly payment that has to be made is given as $24.99 each month and this has to be done for twelve months.

In addition to this, there is a cost of $5 that has to be paid for each of the classes  that we are taking. We would now need to assume that each of the classes would be represented as a.

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Bob order 151/2 pound of cherrys fron the farm,this year they want to order 1 1/4 more pound but then 2/5 of the order they want blue berrys what is the percent

Answers

Answer:

Percentage of cherries    = 60 %

Percentage of berries  = 40 %

Step-by-step explanation:

He orders  15 1/2 pounds every year.

He wants more=  1 1/4 pounds

So the total pounds = 15 1/2 + 1 1/4

                                 = 15 + 1 + 1/2 + 1/4

                                 = 16 + (2+1)/4

                                  =   16 + 3/4

                                  = 16 3/4 pounds

Out of 16  3/4 pounds they want 2/5 part to be of blue berries.

So blue berries = 16 3/4 * ( 2/5)

                          = 67/4 * ( 2/5)

                            = 67/10 = 6 7/10 pounds

Amount of cherries= 16  3/4- 6 7/10

                                 = 10 3/4- 7/10

                                  = 10 (15- 14)/20

                                   = 10 1/20 pounds

Percentage of cherries = Amount of cherries/ Total amount * 100

                                      = 201/20 / 67/4 *100

                                         = 201/20 * 4/67 *100

                                         = 201/335 *100

                                          = 60 %

Percentage of berries = 100- 60 = 40 %

Consider the line parametrized by r(t) = (3.-1,7) + (8,12,-6). Identify the parametrizations equivalent to r(t). r(t) = (11,11,1)+1(8,12,-6) r2(t) = (4.0,8) +1(8,12,-6) r3 (1) = (6, -2, 14) + (8,12,-6) r.(t) = (3.-1,7)+1(-4, -6,3) r's(t) = (8, 12,-6) +1(3.-1.7) ro(t) = (-1, -7, 10) + 1(4.6.-3) incorrect

Answers

Equivalent parametrizations to r(t) are:

r(t) = (3,-1,7) + t(8,12,-6)

r2(t) = (11,11,1) + t(8,12,-6)

r3(t) = (4,0,8) + t(8,12,-6)

rs(t) = (3,-1,7) + t(-4,-6,3)

r'(t) = (8,12,-6) + t(3,-1,7)

ro(t) = (-1,-7,10) + t(4,6,-3)

The calculation involves finding parametrizations that are equivalent to the given line parametrization r(t) = (3,-1,7) + t(8,12,-6). Two parametrizations of a line are equivalent if they describe the same line in 3-dimensional space, even if they use different parameters.

To find equivalent parametrizations, we can use the fact that a line is uniquely defined by a point on the line and a direction vector. In the given parametrization, the point on the line is (3,-1,7) and the direction vector is (8,12,-6).

To find the first equivalent parametrization r1(t), we can choose a different point on the line, say (11,11,1), and the same direction vector (8,12,-6), and write r1(t) = (11,11,1) + t(8,12,-6).

To find the second equivalent parametrization r2(t), we can choose a different point on the line, say (4,0,8), and the same direction vector (8,12,-6), and write r2(t) = (4,0,8) + t(8,12,-6).

To find the third equivalent parametrization r3(t), we can choose a different point on the line, say (6,-2,14), and the same direction vector (8,12,-6), and write r3(t) = (6,-2,14) + t(8,12,-6).

To find the fourth equivalent parametrization r4(t), we can choose a different direction vector that is parallel to (8,12,-6), say (-4,-6,3), and the same point on the line (3,-1,7), and write r4(t) = (3,-1,7) + t(-4,-6,3).

To find the fifth equivalent parametrization r5(t), we can choose a different point on the line, say (-1,-7,10), and a different direction vector that is also parallel to (8,12,-6), say (4,6,-3), and write r5(t) = (-1,-7,10) + t(4,6,-3).

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find dz dt by the chain rule where z = cosh2 (xy), x = 1 2 t, and y = e t .

Answers

To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

     

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each expression to make pairs of equivalent expressions.

Answers

Answer:

2314

Step-by-Step

this should answer your question correctly

Answer:

2314

Step-by-step explanation:


Can I get some help with this?

Can I get some help with this?

Answers

The answer would be A because the +5 tells you that the vertex of the parabola is y=5

HELP!!! please marked brainliest

HELP!!! please marked brainliest

Answers

Answer:

m∠KLM = 100

Step-by-step explanation:

First, make both equal to each other

26x + 22 = 38x - 14

Subtract 26x from both sides

22 = 12x - 14

Add 14 to both sides to isolate the variable

32 = 12x

Divide both sides by 12

x = 3

----------------- To find m∠KLM take one angle:

38x - 14

Replace the x with 3

38(3) - 14

Multiply 38 by 3

114 - 14

Subtract 14 from 114

100

m∠KLM = 100

19% of 43
Help please!!!

Answers

Answer:

8.17

Step-by-step explanation:

43x19/100 equals 8.17

please help me with questions 1 and 2 (with explanations and calculation) thank you so much

please help me with questions 1 and 2 (with explanations and calculation) thank you so much

Answers

Ans of 1a = 1/6
Ans of 1b= 0.5
Ans of 2 = 300ml

The diameter of a circle is 9 ft. Find the circumference and round it to the nearest tenth.

Answers

Answer:

9*3.14=28.26

Step-by-step explanation:

Hope this Helps!

Answer:

\(C\approx28.27ft\)

Step-by-step explanation:

\(C=\pi d\\C=\pi(9)\\C=9\pi\\C\approx28.27\)

Thus, your circumference is about 28.27 ft

At a hockey game, a vendor sold a combine of 125 sodas and hotdogs. The number of Sotos sold was 37 more than a number of hotdogs sold. find the number of sodas sold and the number of hotdogs sold.

Answers

So on solving the provided question, we can say that by equation, 122 sodas and 80 hot dogs

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

let x be  of sodas sold

and let x - 42 be of hot dogs sold

so, the equation formed is

\(x+x-42=202\\2x = 244\\x=122\\\)

122 sodas and 80 hot dogs

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The number 24 has eight factors in total.What are they

Answers

Answer:

The factors are 1,2,3,4,6,8, 12 and 24

Answer:

The factors of 24 are:

a. 1

b. 2

c. 3

d. 4

e. 6

f.  8

g. 12

h. 24

Step-by-step explanation:

A factor is a number that when added or multiplied to another number gives a \(GIVEN RESULT.\)

What is the value -134+53

Answers

Answer:

To find -134 + 53, add the ones place (4+3=7) and the tens place (5+3=8), giving you -81.

Answer: -81.

Answer:

-81

Step-by-step explanation:

You subtract the absolute values and take the sign of the larger absolute value.

Absolute value is the distance from zero.  This will be a positive number

134 - 53 = 81

The sign will be negative because the sign of the higher absolute value number is negative.  134 has a larger absolute value than 53 and it is negative, so our answer is negative.

Helping in the name of Jesus.

Someone mind helping? It’s pretty late rn and I need to hurry this up..

Someone mind helping? Its pretty late rn and I need to hurry this up..

Answers

Answer:

Y=1/2x (-1,-2)

Step-by-step explanation:

The slope is 1/2 and there is no y intercept so it’s simply y= 1/2x

Answer:

y = 2x

(4,8)

Step-by-step explanation:

The linear function

y = 2x

For an another pair not named on the graph,

Just input a value for x!

Which means,

y = 2(4)

y = 8

(4,8) satisfied the function.

Hope this helps!!

Please give me brainliest if it is the correct answer :)

PLEASE HELP QUICK!!!

Given the parabola below, find its equation in vertex form. The points represent the vertex and y-intercept (-1, 11) -10 (0,8) 4​

PLEASE HELP QUICK!!! Given the parabola below, find its equation in vertex form. The points represent

Answers

Answer:

the second one

B

.........

If

x = ab/c

derive the formula for the uncertainty of x. (Hint: partial derivatives may prove useful).

Answers

The formula for the uncertainty of x, Δx, can be derived using partial derivatives as follows:

Δx = √((Δa/a)² + (Δb/b)² + (Δc/c)²)

To derive the formula for the uncertainty of x, Δx, we can use the concept of partial derivatives. The general formula for the uncertainty propagation of a function involving multiple variables is given by:

Δf = √((∂f/∂x₁)²Δx₁² + (∂f/∂x₂)²Δx₂² + ... + (∂f/∂xₙ)²Δxₙ²)

In this case, we have x = ab/c, and we want to find Δx. We can assign x as a function of a, b, and c:

f(a, b, c) = x = ab/c

To find Δx, we need to calculate the partial derivatives (∂f/∂a), (∂f/∂b), and (∂f/∂c) and substitute them into the general formula.

∂f/∂a = b/c

∂f/∂b = a/c

∂f/∂c = -ab/c²

Now, we can substitute these partial derivatives into the uncertainty propagation formula:

Δx = √((∂f/∂a)²Δa² + (∂f/∂b)²Δb² + (∂f/∂c)²Δc²)

= √((b/c)²Δa² + (a/c)²Δb² + (-ab/c²)²Δc²)

= √((b²Δa² + a²Δb² + a²b²Δc²)/c²)

= √((a²b²Δc² + b²Δa² + a²Δb²)/c²)

Simplifying further, we get:

Δx = √(a²b²Δc² + b²Δa² + a²Δb²)/c

Thus, the formula for the uncertainty of x, Δx, is:

Δx = √(a²b²Δc² + b²Δa² + a²Δb²)/c

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Find the area of the parallelogram.
42mm
20 mm
Area =
mm2

Answers

Answer:

840

Step-by-step explanation:

b x h = 42 x 20

which equation has no solution?​

which equation has no solution?

Answers

Answer:

Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution.

Step-by-step explanation:

We are looking at two lines.

4(x + 3) + 2x = 6(x +2)

4x + 12 + 2x = 6x + 12

6x + 12 = 6x + 12

These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 4x = x + 3x + 3

4x + 11 = 4x + 3

Both lines have the same gradient but have a different incline with the y axis. By definition, they are parallel to each other and there fore have zero solutions. Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution, which is the answer we are looking for.

5(x + 3) + x = 4(x +3) + 3

5x + 15 + x = 4x + 12 + 3

6x + 15 = 4x + 15

These are two different lines with exactly one solution.

4 + 6(2 + x) = 2(3x + 8)

4 + 12 + 6x = 6x + 16

6x + 16 = 6x + 16

These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).

Nadine drove her car at a constant speed on a trip. Anisa drove her car at a different constant speed while on the same trip. The graph and the table show information about the trips Nadine and Anisa took.

Answers

Answer:

There isn't a graph so this can't be answered

Step-by-step explanation:

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