Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"), so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 52% of its customers order their food to go. If this proportion is correct, what is the probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go?
Round your response to at least three decimal places

Answers

Answer 1

Using the binomial distribution, it is found that there is a 0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.

For each customer, there are only two possible outcomes, either they order their food to go, or they do not. The orders of each customer are independent of other customers, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

52% of its customers order their food to go, hence [tex]p = 0.52[/tex].Random sample of 5 customers, hence [tex]n = 5[/tex].

The probability that exactly 4 order their food to go is P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{5,4}.(0.52)^{4}.(0.48)^{1} = 0.1755[/tex]

0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377


Related Questions

Which answer choice shows the expression below factored correctly?
9x–15

Answers

whats the answer choices??

Answer:

[tex]3(3x-5)[/tex]

Step-by-step explanation:

First, you have to rewrite 9 as 3 * 3 and 15 as 3 * 5

Finally, you have to factor out the common term 3 to get [tex]3(3x-5)[/tex]

Hope this helps!

P.S next time list the answer choices it would help alot :)

If I have a 1/4 chance of winning a bet, but lose it 40 times in a row, what percentage chance is that?

Answers

That? Change is percentage what in row a times 40 it lose but a bet winning over change

3. West Fremont is a community consisting of 3,000 homes. A small coal-burning power plant currently supplies electricity for the town. The capacity of the power plant is 12 megawatts


(MW) and the average household consumes 8,000 kilowatt hours (kWh) of electrical energy each year. The price paid to the electric utility by West Fremont residents for this energy is $0.10 per kWh. The town leaders are considering a plan, the West Fremont Wind Project (WFWP), to generate their own electricity using 10 wind turbines that would be located on the wooded ridges surrounds the town. Each wind turbine would have a capacity of 1.2 MW and each would cost the town $3 million to purchase, finance, and operate for 25 years.



(a) Assuming that the existing power plant can operate at full capacity for 8,000 hrs/yr, how many kWh of electricity can be produced by the plant in a year?



(b) At the current rate of electrical energy use per household, how many kWh of electrical energy does the community consume in one year?



(c) Assuming that the electrical energy needs of the community do not change during the 25-year lifetime of the wind turbines, what would be the cost to the community of the electricity supplied by the WFEP over 25 years? Express your answer in dollars/kWh.

Answers

Power is the rate of doing work, and the power of the generating plant or

turbine and the duration of generation, gives the energy generated.

The correct responses are;

(a) 96 × 10⁶ kWh(b) 24 × 10⁶ kWh(c) 0.05 dollars/kWh

Reasons:

Number of homes in the town = 3,000 homes

The given capacity of the power plant = 12 MW = 12,000 kW

Power consumed by a household = 8,000 kWh per year

The price for electrical energy = $0.10 per kWh

Number of wind turbines = 10

WFWP = The West Fremont Wind Project

Capacity of each wind turbine = 1.2 MW

Cost of each wind turbine for 25 years = $3 million

(a) Number of hours of operation of the power plant = 8,000 hrs/yr

Required:

The amount of kWh of electricity produced in a year by the plant.

Solution:

The energy produced = Power × Time

∴ The energy produced = 12,000 kW × 8000 hr = 96,000,000 kWh

Therefore;

The energy produced by the plant in a year, E = 96 × 10⁶ kWh

(b) Energy consumed = Energy consumed per home × Number of homes

Therefore;

Energy consumed = 8,000 kWh/home × 3,000 homes = 24,000,000 kWh

The energy the community consumes in one year = 24 × 10⁶ kWh

(c) The cost per kWh = $0.10

The cost, C, of the energy per year is therefore

C = 24,000,000 kWh × $0.10/kWh = $2,400,000

The cost for 25 years = 25 × C = 25 × $2,400,000 = $60,000,000

The number of wind turbines = 10

Cost per wind turbine = $3 million

Total cost to operate the 10 wind turbine = $3 million × 10 = $30 million

Energy consumed = 24,000,000 kWh

Therefore;

24,000,000 kWh × 25 = $30 million

[tex]\displaystyle 1 \ kWh = \frac{\$ 30 \ million}{25 \times 24,000,000 \ kWh} = \mathbf{\$0.05/kWh}[/tex]

The cost to the community of the electricity supplied by WFWP over 25 years is $0.05/kWh.

Learn more about energy and power here:

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13. Solve to find the vertex if :
3x2 – 19x - 5

Answers

Answer:

 A) y = 3(x -3)^2 -46

 B) (3, -46)

 C) look at the y-coordinate of the vertex

Step-by-step explanation:

A) Factor the leading coefficient from the variable terms.

 y = 3(x^2 -6x) -19

Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.

 y = 3(x^2 -6x +9) -19 -3(9)

 y = 3(x -3)^2 -46

__

B) Compared to the vertex form, ...

 y = a(x -h)^2 +k

we find a=3, (h, k) = (3, -46).

The vertex is (3, -46).

__

C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.

If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.

Step-by-step explanation:

what is the eight term of the arithmetic sequence defined by the rule A(n)=-12+2(n-1) RIGHT ANSWER ONLY

Answers

Answer:

a₈ = 2

Step-by-step explanation:

Substitute n = 8 into the nth term rule

A(8) = - 12 + 2(8 - 1) = - 12 + 2(7) = - 12 + 14 = 2

At Cheesecake Factory, the cost of your meal before the tip is $77.23. You leave a 15% tip. How much
money did you leave for tip? What is the total cost of your meal?

Answers

Answer:

$88.81

Step-by-step explanation:

to find tip, multiply 77.23 and .15 to get $11.58

total cost = meal + tip

total cost = 77.23 + 11.58 which equals $88.81

Activity 3.
Direction. Name the ratio as a fraction in simplest form.
1. P5.00 to P60.00
2. 1 hour to 40 minutes
3. 2 weeks to 4 days
4. Eight out of 30 passengers are tourist. Give the ratio of tourist to passengers.
5. For every 45 passengers, 9 are foreigners. Write the ratio of foreigners to
passengers.
Please answer please help me

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

[tex]\frac{5}{60}[/tex] ( divide numerator/ denominator by 5 )

= [tex]\frac{1}{12}[/tex] ( in simplest form )

(2)

both quantities must have the same units

1 hour = 60 minutes , then

[tex]\frac{60}{40}[/tex] ( divide numerator/ denominator by 20 )

= [tex]\frac{3}{2}[/tex] ( in simplest form )

(3)

1 week = 7 days then 2 weeks = 2 × 7 = 14 days , so

[tex]\frac{14}{4}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{7}{2}[/tex] ( in simplest form )

(4)

[tex]\frac{8}{30}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{4}{15}[/tex] ( in simplest form )

(5)

[tex]\frac{9}{45}[/tex] ( divide numerator/ denominator by 9 )

= [tex]\frac{1}{5}[/tex] ( in simplest form )

Solve the equation. -w/20=-2.5

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf{ - w \div 20 = - 2.5}[/tex]

[tex] \sf - w = - 2.5 \times 20[/tex]

[tex] \sf - w = - 50[/tex]

[tex] \sf{w = 50}[/tex]

I will mark as brainliest if answer is correct.
Which ordered pair is a solution to the system of inequalities?
y≥2x-1
y<4x

A. (2,6)

B. (3,2)

C. (3,4)

D. (2,8)​

Answers

A. (2,6) is a solution to the system of inequalities because it's inside the double shaded area.

Giving Brainilest! Tell whether the triangles are similar

Answers

Answer:

57 digress

I think 57 digress of both triangles are similar

Step-by-step explanation:

hope this helps I don't know Its I don't know Its correct answer please ask to some one

Answer:

yes

Step-by-step explanation:

1. both are acute triangles

2. both have all the angles measuring less than 90°

3.first triangle x measures 50 degrees and y measure 80 degrees respectively.

pls give brainliest

Help me solveee this

Answers

A straight angle = 180 so you have the cute angle given so it would be x + 47 = 180 same as 180-47= 133. Therefore x=133°
Straight angel = 180
The angel given is 47 sooo x + 47=180
Orrrr you can do 180 - 47 = x which is better and then the answer will be 133

Given the following polynomials
x = (a + b + c)^2
y= a^2 + b^ 2 + C^2
z = ab + bc + ac
Which identity is true?
A. x=y-z
B. x=y+z
C. x=y-2z
D. x=y+2z

Answers

Answer:

D. x=y+2z

Step-by-step explanation:

if you expand out the first equation (x) you will get: a^2+b^2+c^2+2ab+2bc+2ac

then looking at all of the choices, it can be seen that the third equation (z) needs to be multiplied by to get 2ab+2bc+2ac and then added to the second equation (y) which would result in D being the correct answer.

D. x=y+2z

pls answer pls plsplspls pls ​

Answers

πr²/2

22×7×7/7×2

77cm²

πr²/2×2

πr²

22/7×3.5×3.5

38.5cm²

77-38.5=38.5cm²

What is x, the distance between points S' and S? x = 2.25 units x = 2.5 units x = 4.25 units x = 4.5 units

Answers

Answer:

2.5 units

Step-by-step explanation:

I took the test and got this question right

I forgot how I did it but test your luck if you believe me

Answer:

b

Step-by-step explanation:

What are the common factors of 16 and 24?
O A. 1,2, 8
B. 1, 2, 460
C. 1, 2, 3, 4,8
O D. 1, 2, 4, 8, 12
SUBMIT

Answers

Answer:

1 , 2 , 4 , 8

Step-by-step explanation:

Factors of 16:

1, 2, 4, 8, 16

Factors of 24:

1, 2, 3, 4, 8, 6, 12, 24

Common factors are factors that are shared by both numbers, in this case, it i: 1 , 2 , 4, 8

.....................................................

Answers

………………….……………………………………………………………………””””””.”.””.”.”.”.””.”.”.”.”.”.”.”.””.”.”.”.”.”.”.”.””.”.”.”.””.”

Maxden wanted to measure the length of the objects below.
For each one circle which unit of measurement he should use.

A. His puppy

Inches or Yards

B. A toy car

Yards or Centimeters


C. Width of his desk

Yards or Feet


D. His foot

Inches or Yards

Answers

A : inches
B:centimeters
C:feet
D:inches

Which number line represents the number 0.7

Answers

Answer:

What number like?

Answer: The answer is C.

The question I assume you are talking about is in the image.

1 What is the universe made of? ...
2 How did life begin? ...
3 Are we alone in the universe? ...
4 What makes us human? ...
5 What is consciousness? ...
6 Why do we dream? ...
7 Why is there stuff? ...
8 Are there other universes?

Answers

1. big planets and carbon dioxide

2. when god sent adam (the first human being) to earth and had a female with him they got married and gave birth to children and the children marry each other and so on.

3. yes we're the only alive humans within this universe, but outside the universe are god and his worshippers.

4. our human-shaped bodies are the way we feel, hear, look, and do lots more things!

5. when someone feels unlike normal.

6. to feel there's a side of u that can do the impossible.

7. things were passed down from generations so it's possible that "stuff" can be made back when adam came to earth but other than that there was "stuff" even before humanity.

8. yes

other than that, hope u got ur questions solved

Which of the following equations represent a proportional
relationship?
Select two answers

Answers

Answer:

A it should be if not sorry :(  

Good Luck :)

Step-by-step explanation:

A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble. Two marbles are drawn at random without replacement. Find the probability of selecting a white marble, then a red marble.

Answers

The probability of selecting a white marble is 1/2 while that of a red marble is 3/4

I NEED HELP!!!!!
4. Three bags of Skittles and two bags of M&M's
weigh 3 pounds. Four bags of Skittles weigh 3
pounds. All bags of skittles weigh the same, and
all bags of M&M's weigh the same. What is the
ratio of the weight of a bag of Skittles to a bag of
M&M's?

Answers

Answer:

Step-by-step explanation:

How many Skittles is in a 4 pound bag?

Fun-size packages are perfect for parties, party favors, trick-or-treaters, gift baskets, lunch treats and on-the-go snacks. Approximately 20 individual packs per lb.

...

Skittles Fun-Size Packs, 4-Lb Box.

−10sin(x)=−4csc(x)+3

Answers

-10 sin(x) = -4 csc(x) + 3

Recall that csc(x) = 1/sin(x) :

-10 sin(x) = -4/sin(x) + 3

Multiply both sides by sin(x) :

-10 sin²(x) = -4 + 3 sin(x)

Move everything to one side:

10 sin²(x) + 3 sin(x) - 4 = 0

Factorize the left side:

(2 sin(x) - 1) (5 sin(x) + 4) = 0

Then we have two cases,

2 sin(x) - 1 = 0   or   5 sin(x) + 4 = 0

Solve for sin(x) :

sin(x) = 1/2   or   sin(x) = -4/5

Solve for x :

• if sin(x) = 1/2, then

x = arcsin(1/2) + 2nπ   or   x = π - arcsin(1/2) + 2nπ

x = π/6 + 2nπ   or   x = 5π/6 + 2nπ

• if sin(x) = -4/5, then

x = arcsin(-4/5) + 2nπ   or   x = π - arcsin(-4/5) + 2nπ

x = -arcsin(4/5) + 2nπ   or   x = π + arcsin(4/5) + 2nπ

(where n is any integer)

The combined area of the photo and mat needs to be 224 square inches. The equation that represents the combined area is
(2w +8)(2w + 10) = 224, where w represents the width of the mat around the photo.
What should the width of the mat be?
Enter your answer as the correct value, including units, like this: 42 meters
Be sure to use the correct units from the context of the problem

Answers

The width of the mat around the photo is 3 inches

The combined area of the of the photo and math = 224 square inches

The combined area is represented as:

(2w +8)(2w + 10) = 224

Expand the equation using the distributive rule

[tex]4w^2+20w+16w+80=224\\\\4w^2+36w+80-224=0\\\\4w^2+36w-144=0[/tex]

Divide through by 4

[tex]w^2+9w-36=0[/tex]

Factorize the resulting quadratic equation to solve for w

[tex]w^2-3w+12w-36=0\\\\w(w-3)+12(w-3)=0\\\\(w-3)(w+12)=0[/tex]

w  -  3  =  0

w   =  3

w  +  12  =  0

w   =  -12

The width of the mat around the photo is 3 inches

Learn more on area here: https://brainly.com/question/20968176

The width of the mat around the photo is 3 inches

Combined area:

2w +8)(2w + 10) = 224

where,

w = width of the mat around the photo

(2w +8)(2w + 10) = 224

open parenthesis

4w² + 20w + 16w + 80 = 224

4w² + 36w + 80 - 224 = 0

4w² + 36w - 144 = 0

divide through by 4

w² + 9w - 36 = 0

solve quadratic equation using factorization method

w² + 12w - 3w - 36 = 0

w(w + 12) - 3(w + 12) = 0

(w + 12) (w - 3) = 0

w + 12 = 0 or w - 3 = 0

w = -12 or w = 3

The width of the mat around the photo cannot be a negative value.

Therefore, the width of the mat around the photo is 3 inches

Learn more about quadratic equation:

https://brainly.com/question/1214333

List all the factors of 42 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer Here
SUBMIT

Answers

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

Answer:

Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42.

Step-by-step explanation:

:)

What is m<9 = 130 degrees, What is m<4

Answers

Answer:

50 degrees

Step-by-step explanation:

They are alternate exterior angles, so they add up to 180 degrees.

To solve for the hypotenuse of a right triangle, what information do you need?

Answers

To find the hypotenuse of any right triangle, you need to square and add the other two sides. We call those two sides LEGS.

(legs)^2 + (leg)^2 = (hypotenuse)^2

In your textbook, you will see it this way:

a^2 + b^2 = c^2, where a = b = legs.

Answer:

You can use Sin to solve that problem in it you should have Angle=theeta and perpendicular.

Step-by-step explanation:

First you should have Perpendicula and Then Angle Put That info in Sinɵ = perpendicular/base. Solve it and get your Answer

WILL GIVE BRAINLIEST

Answers

Answer:

the y intercept is 5/3

the y intercept is 3/5


Here is an encoded message, a message that has been converted into a code.
WRGDB LYD JRRG GDB.
Can you figure out what it says in English? How was the original message encoded?

Answers

Im not sure but thank you for the points

If sin A = 3/4, then the value of tan A

Answers

[tex]sinA=\frac{3}{4}[/tex]  ⇒  ∠A ≈ 49°

tanA ≈ 1.15

ok done. Thank to me :>

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