The owner of a popular coffee shop wants to determine if there is a difference between the proportion of customers
who use their own cups when they purchase a coffee beverage, and the proportion of customers who use their own
cups when they purchase an espresso beverage. Customers using their own cups get a 5% discount, which is
displayed on the receipt. The owner randomly selects 50 receipts from all coffee purchases and 50 receipts from all
espresso purchases. For coffee purchases, 24 receipts showed that the customer used their own cup. For espresso
purchases, 18 receipts showed the customer used their own cup. The owner wants to construct a 95% confidence
interval for the difference in the proportions of customers who use their own cups. Are the conditions for inference
met?
Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the randomness condition is not met.
O No, the Large Counts Condition is not met.

Answers

Answer 1

Answer:

Yes, the conditions for inference are met.

A

Step-by-step explanation:

EDGE

Answer 2

The answer is option A because, the conditions for inference are met.

Data;

sample size = 50 recieptdiscount = 5%confidence interval = 95%What is confidence interval?

This is when the probability of a population parameter falls between a set of values for a certain proportion of times.

To answer this question, the conditions for inference are met.

Learn more on confidence interval here;

https://brainly.com/question/17097944


Related Questions

use the given area to find the scale factor from the small figure to the large

Answers

don’t trust the person above me

HURRY TIMEDWrite an equation of the line that passes through a pair of points:
(negative 2, 2), (5, negative 5)
a.
y = StartFraction 3 Over 7 EndFractionx – StartFraction 20 Over 7 EndFraction
c.
y = Negative StartFraction 3 Over 7 EndFractionx + StartFraction 7 Over 20 EndFraction
b.
y = Negative StartFraction 3 Over 7 EndFractionx + StartFraction 20 Over 7 EndFraction
d.
y = Negative StartFraction 3 Over 7 EndFractionx – StartFraction 20 Over 7 EndFraction

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

D.) y= -3/7x - 20/7

Step-by-step explanation:

on edge 2021

The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the garden

Answers

Step-by-step explanation:

Given :-

The length of the garden 8m greater than 2 times the width.

Area of the garden is 280 m²

Let us consider the length as x and width as y.

Sp, we can day length as :-

x = 8 + 2y ---(1)

Now, we know that:-

Area of Rectangle = Length × Breadth

280 = x * y

We can replace the value of x now,

280 = y × ( 8 + 2y)

280 = 8y + 2y²

2y² + 8y - 280 = 0

y² + 4y - 140 = 0

Factorise it.

(y -10)(y + 14)

Cancelling -ve value, we get the width as 10 metres.

Hope it helps :)

Answer:

Step-by-step explanation:

Width = w

Length = 2w + 8

Area of rectangular garden = 280 square meter

length * width = 280

(2w + 8 ) *w = 280

2w * w + 8*w = 280

2w² + 8w = 280

2w² + 8w - 280 = 0

Divide the whole equation by 2

w² + 4w - 140 = 0      

w² + 14w - 10w - 14 *10 = 0

w(w + 14) - 10(w + 14) = 0

(w + 14)(w - 10)= 0

w - 10 = 0       {Ignore w + 14, as measurements will not be -ve}

w = 10 m

l = 2*10 +8

= 20 +8

l  = 28 m

WILL GIBE BRAINLIEST ASAP

Answers

Answer:

A and D have whole grid squares that are the same size and aren't over lapping

C has overlapping grid squares making it hard to count

B can't be used to find area because some of the grid squares are different sizes

You still could use B because four of the smaller squares seems to be equivalent to one of the larger squares

Step-by-step explanation:

Answer:

the guy up there is right

Step-by-step explanation:

middle school math problem.....

Answers

Answer:

hi bro how are yuo join this meeting i will say you ans

Step-by-step explanation:

Answer:

Part A: 27.32

Part B: 4.92

Step-by-step explanation:

25.30*.08(or 8%) is equal to 2.024

25.30+2.024=27.324=27.32

32.24-27.32=4.92

Find the average value of a function

Answers

Answer:

The average value of g is:

[tex]\displaystyle g_{ave}=\frac{1}{6}e^6-\frac{49}{6}\approx 59.071[/tex]

Step-by-step explanation:

The average value of a function is given by the formula:

[tex]\displaystyle f_{ave}=\frac{1}{b-a}\int_a^b f(x)\, dx[/tex]

We want to find the average value of the function:

[tex]g(x)=e^{3x-3}-4x[/tex]

On the interval [1, 3].

So, the average value will be given by:

[tex]g_{ave}=\displaystyle \frac{1}{3-1}\int_1^3 e^{3x-3}-4x\, dx[/tex]

Simplify. We will also split the integral:

[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\int_1^3e^{3x-3}\, dx-\int _1^3 4x\, dx\right)[/tex]

We can use u-substitution for the first integral. Letting u = 3x - 3, we acquire:

[tex]\displaystyle u=3x-3\Rightarrow du = 3\, dx\Rightarrow \frac{1}{3} du=dx[/tex]

We will also change the limits of integration for our first integral. So:

[tex]u(1)=3(1)-3=0\text{ and } u(3)=3(3)-3=6[/tex]

Thus:

[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\frac{1}{3}\int_0^6 e^{u}\, du-\int _1^3 4x\, dx\right)[/tex]

Integrate:

[tex]g_{ave}=\displaystyle \frac{1}{2}\left(\frac{1}{3}e^u\Big|_0^6-2x^2\Big|_1^3\right)[/tex]

Evaluate. So, the average value of g on the interval [1, 3] is:

[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\frac{1}{3}\left[e^6-e^0\right]-\left[2(3)^2-2(1)^2\right]\right)[/tex]

Evaluate:

[tex]\displaystyle\begin{aligned} g_{ave}&=\frac{1}{2}\left(\frac{1}{3}(e^6-1)-16\right)\\&=\frac{1}{2}\left(\frac{1}{3}e^6-\frac{1}{3}-16\right)\\&=\frac{1}{6}e^6-\frac{49}{6}\approx59.071\end{aligned}[/tex]

Select the coefficents in the expression: 5x + 4 - 2x -1 *

Answers

Answer:

When you solve it, the leading coefficient is 3.

Step-by-step explanation:

Combine Like Terms:

=5x+4+−2x+−1

=(5x+−2x)+(4+−1)

=3x+3

Hope it helps :)

Answer:

The coefficients are 5, 4, 2 and -1

Step-by-step explanation:

Coefficients are the whole numbers


What is the slope of the line tangent to the curve square root (x) +square root (y) = 2 at the point ( 9/4, 1/4 )? (photo attached of answer choices)

Answers

Answer:

B. [tex]\displaystyle -\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/CoefficientsExponential Rule [Rewrite]:                                                                           [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Rule [Root Rewrite]:                                                                 [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

The definition of a derivative is the slope of the tangent line

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Implicit Differentiation

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \sqrt{x} + \sqrt{y} = 2[/tex]

[tex]\displaystyle (\frac{9}{4}, \frac{1}{4})[/tex]

Step 2: Differentiate

Implicit Differentiation

[Function] Rewrite [Exponential Rule - Root Rewrite]:                               [tex]\displaystyle x^{\frac{1}{2}} + y^{\frac{1}{2}} = 2[/tex][Function] Basic Power Rule:                                                                       [tex]\displaystyle \frac{1}{2}x^{\frac{1}{2} - 1} + \frac{1}{2}y^{\frac{1}{2} - 1}\frac{dy}{dx} = 0[/tex][Derivative] Simplify:                                                                                     [tex]\displaystyle \frac{1}{2}x^{\frac{-1}{2}} + \frac{1}{2}y^{\frac{-1}{2}}\frac{dy}{dx} = 0[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]:                                       [tex]\displaystyle \frac{1}{2x^{\frac{1}{2}}} + \frac{1}{2y^{\frac{1}{2}}}\frac{dy}{dx} = 0[/tex][Derivative] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] term [Subtraction Property of Equality]:                 [tex]\displaystyle \frac{1}{2y^{\frac{1}{2}}}\frac{dy}{dx} = -\frac{1}{2x^{\frac{1}{2}}}[/tex][Derivative] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] [Multiplication Property of Equality]:                       [tex]\displaystyle \frac{dy}{dx} = -\frac{2y^{\frac{1}{2}}}{2x^{\frac{1}{2}}}[/tex][Derivative] Simplify:                                                                                     [tex]\displaystyle \frac{dy}{dx} = -\frac{y^{\frac{1}{2}}}{x^{\frac{1}{2}}}[/tex]

Step 3: Evaluate

Find slope of tangent line

Substitute in point [Derivative]:                                                                     [tex]\displaystyle \frac{dy}{dx} \bigg| \limit_{(\frac{9}{4}, \frac{1}{4})} = -\frac{(\frac{1}{4})^{\frac{1}{2}}}{(\frac{9}{4})^{\frac{1}{2}}}[/tex][Slope] Exponents:                                                                                         [tex]\displaystyle \frac{dy}{dx} \bigg| \limit_{(\frac{9}{4}, \frac{1}{4})} = -\frac{\frac{1}{2}}{\frac{3}{2}}[/tex][Slope] Simplify:                                                                                             [tex]\displaystyle \frac{dy}{dx} \bigg| \limit_{(\frac{9}{4}, \frac{1}{4})} = -\frac{1}{3}[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Differentiation - Implicit Differentiation

Book: College Calculus 10e

Edwin is making brownies. He has m cups of flour. He realized that he needs 3/4 more flour than he currently has to make the brownies. Which expression represents the total amount of flour he needs to make the brownies? ​

Answers

Answer:

3/4 + m

Step-by-step explanation:

Answer:

3/4 + m

Step-by-step explanation:

a square on a coordinate plane has vertices at (4,-5) and (4,2). what is the perimeter of the square?​

Answers

Answer:

28

Step-by-step explanation:

2-(-5)=7--one side

square (all sides are the same)

4 sides in total

7x4=28

What shape is the cross-section?
a. Triangle
b. Circle
c. Ellipse
d. Hexagon
e. Square
f. Rectangle
g. Pentagon

Answers

its a circle.. but looks like an oval

what is 11 one fourth improper fraction ​

Answers

Answer:

Step-by-step explanation:

45/5

HELO PLEASE ILL DO ANYTHING ITS DUE

Answers

Answer:

send money and i gotchu

Step-by-step explanation:

Rewrite the expression by combining like terms.
3x^2 + y + 2y^2 + 4y^2

Answers

Answer:

3x^2 + 7y^2

Step-by-step explanation:

3x^2 + y + 2y^2 + 4y^2 = 3x^2 + 7y^2

This is for a friend-
What's the answer to this question? And please explain

Answers

Answer:

I belive it;s 4/5

Step-by-step explanation:

Answer:

2?

Step-by-step explanation:

4 divided by 2 = 2

increase 80 in the ratio of 3:2​

Answers

Answer:

Ratios describe proportions. We can always multiply across ratios, or divide across them (as long as we do it to all of them). For example, the ratio 3 : 2 is the same as 6 : 4 and 300 : 200. Accuracy Tip.

Step-by-step explanation:

Select all the expressions that are the result of decreasing x by 80%
Please use the photo, also please don't give me a file cause I know it's a virus

Answers

Answer:

A,B,E or 1,2,5

if its letters or numbers.

Step-by-step explanat

The expressions that are the result of decreasing x by 80% will be (1 - 0.80)x, x - (80/100)x, and (20/100)x. Then the correct options are A, C, and E.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The expressions that are the result of decreasing x by 80%.

We know that if something is decreased by a percentage p% then the percentage is written as (1 - p%). Then the expression is written as,

⇒ [(100 - 80) / 100]x

Then the expression can be written as,

⇒ [(100 - 80) / 100]x

⇒ x - (80/100)x

⇒ x - 0.80x

⇒ (1 - 0.80)x

⇒ 0.20x

⇒ (20/100)x

The expressions that are the result of decreasing x by 80% will be (1 - 0.80)x, x - (80/100)x, and (20/100)x. Then the correct options are A, C, and E.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

A contractor is required by a county planning department to submit 1, 2, 3, 4, or 5 forms (depending on the nature of the project) when applying for a building permit. Let y denote the number of forms required for an application, and suppose the mass function is given by p(y) 5 cy for y 5 1, 2, 3, 4, or 5. Determine the value of c, as well as the long-run proportion of applications that require at most three forms and the long-run proportion that require between two and four forms, inclusive.

Answers

Answer:

[tex](a)\ c = \frac{1}{15}[/tex]

[tex](b)\ 40\%[/tex]

[tex](c)\ 60\%[/tex]

Step-by-step explanation:

The given parameters can be represented as:

[tex]P_Y(y) \ge 0, y =1,2,3,4,5[/tex]

[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]

Solving (a): The value of c

To do this, we make use of the following rule;

[tex]\sum\limit^5_{y=1}P_Y(y_i) = 1[/tex]

Given that:

[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]

This is translated to:

[tex]c*1 + c * 2 + c * 3 + c * 4 + c * 5 = 1[/tex]

[tex]c + 2c + 3c + 4c + 5c = 1[/tex]

[tex]15c = 1[/tex]

Solve for c

[tex]c = \frac{1}{15}[/tex]

(b) The proportions of applications that requires at most 3 forms

This implies that: y = 1,2,3

So, we make use of:

[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]

Recall that:

[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]

Substitute [tex]c = \frac{1}{15}[/tex]

[tex]P_y(y) =\frac{1}{15}y[/tex]

So:

[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]

[tex]P(Y\le 3) = \frac{1}{15} * 1 +\frac{1}{15} * 2 +\frac{1}{15} * 3[/tex]

[tex]P(Y\le 3) = \frac{1}{15} +\frac{2}{15} +\frac{3}{15}[/tex]

Take LCM

[tex]P(Y\le 3) = \frac{1+2+3}{15}[/tex]

[tex]P(Y\le 3) = \frac{6}{15}[/tex]

[tex]P(Y\le 3) = 0.4[/tex]

Express as percentage

[tex]P(Y\le 3) = 0.4*100\%[/tex]

[tex]P(Y\le 3) = 40\%[/tex]

(c) The proportions of applications that requires between 2 and 4 forms (inclusive)

This implies that: y = 2,3,4

So, we make use of:

[tex]P(2 \le Y \le 4) = P(Y=2) + P(Y=3) + P(Y=4)[/tex]

[tex]P(2 \le Y \le 4) = 2 * \frac{1}{15} + 3 * \frac{1}{15} + 4 * \frac{1}{15}[/tex]

[tex]P(2 \le Y \le 4) = \frac{2}{15} + \frac{3}{15} + \frac{4}{15}[/tex]

Take LCM

[tex]P(2 \le Y \le 4) = \frac{2+3+4}{15}[/tex]

[tex]P(2 \le Y \le 4) = \frac{9}{15}[/tex]

[tex]P(2 \le Y \le 4) = 0.6[/tex]

Express as percentage

[tex]P(2 \le Y \le 4) = 0.6 * 100\%[/tex]

[tex]P(2 \le Y \le 4) = 60\%[/tex]

At a casino, people line up to pay $20 each to be a contestant in the follow- ing game: The contestant flips a fair coin repeatedly. If she flips heads 20 times in 20 mil a row, she walks away with lion dollars; otherwise she walks away with R 0 dollars
(a) Find the PMF of R, the reward earned by the contestant.
(b) The casino counts "losing contestants who fail to win the 20 million dollar prize. Let L equal the number of los- ing contestants before the first winning contestant. What is the PMF of L?
(c) Why does the casino offer this game?

Answers

Answer:

a)

P ( R = 20 million ) = 0.00000095367

P ( R = 0 million )  i.e. not winning = 0.99999904633

b)  P ( L ) = ( 1 - p )^l  * p

C)The casino offer the game because  the expected revenue exceeds the winning

Step-by-step explanation:

P( winning ) = P ( getting 20heads in a row ) = 0.5^20 = 0.00000095367

a)  PMF of R

P ( R = 20 million ) = 0.00000095367

P ( R = 0 million )  i.e. not winning = 0.99999904633

b) what is the PMF of L

L = number of loosing clients before winning

P( L = 0 ) = P   i.e. if first contestant wins, if the second contestant win, L=1 repeat same process continuously

P ( L = 2 ) = ( 1 - p)^2 p

Hence the PMF of L  

P ( L ) = ( 1 - p )^l  * p     where p = 0.5^20

C) The casino offer the game because  the expected revenue exceeds the winning

we can prove this using  the relation below

E( L ) =  ( 1 - P ) / 1 - ( 1 - P )

        = 1 / P - 1

where  p = 0.00000095367  ( probability of winning )

Hence E ( L ) = 1048575

hence expected revenue before someone wins

= (1048575 + 1 ) * 20 = $20,971,520

What is the least common multiple of 41 and 50?


PLEASE HELP ME!!!!!!!​

Answers

Answer:

2050

Step-by-step explanation:

Plz help me well mark brainliest if correct!

Answers

Answer:

correct point b would be the right answer

Answer:

Point B is Ur answer.

Name the polygon. Then tell whether it is a regular polygon or not a regular polygon.​

Answers

Answer:

pentagon

regular polygon

Step-by-step explanation:

A regular polygon is an n-sided polygon in which the sides are all the same length and are symmetrically placed about a common center

Which number line shows the solution to the inequality

Answers

Answer:

Option B

Step-by-step explanation:

The answer is b okay

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE TODAY I NEED HELP ASAP
A restaurant has a 15% mandatory tip rate.

(a) Complete the ratio table shown. Show your work.

Pre-Tax Bill ($): 10 __ 60 __

Tip ($) __ 12 __ 15


(b) Using the table, how can you find the total tip paid on $70?

Answers

Answer:

Subtotal 70.00

15% Tip 10.50

Total 80.50

Step-by-step explanation:

1% 0.70

2% 1.40

3% 2.10

4% 2.80

5% 3.50

6% 4.20

7% 4.90

8% 5.60

% Tip

9% 6.30

10% 7.00

11% 7.70

12% 8.40

13% 9.10

This dude above is trash and wrong, I got a 0 because of him

what is tariffwhat is tariff ​

Answers

Answer:

Step-by-step explanation:

A tariff is a tax imposed by a government of a country or of a supranational union on imports or exports of goods. Besides being a source of revenue for the government, import duties can also be a form of regulation of foreign trade and policy that taxes foreign products to encourage or safeguard domestic industry


Ms. Larsen is buying 2 delivery vans for her business. The price of the first van
is shown below.
$16,257
The digit 2 in the price of the second van is 10 times the value of the digit 2 in the price of the first van. Which amount could be the price of the second van?

Answers

Answer:

18057

Step-by-step explanation:

uh just 200 x 10 = 200 add that to the 6 to make 18057$ which is the price of the second van.

Pleaseee helppp which one is and whyy!!!!

Answers

Answer:

c = 17(83)-17(16)=1139

Step-by-step explanation:

Malia and her sister walk at a constant rate of 4 miles per hour. At this constant rate, how long should it take Malia and her sister to walk 3 miles?
A. 0.75
B. 1.25
C. 1.5
D. 12

Answers

A is the answer as 3/4 is 0.75

Connor wants to solve the equation 4" = 26. How could he use graphs to solve this
equation?
Drag statements into order to complete an explanation.

Answers

Answer:

graph the curve that models the expression is the first on, I don’t know the rest

Step-by-step explanation:

What is the value of x

Answers

Answer:

it Is a variable..............

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