If a restaurant purchases organic food there is a 66% chance it will go bankrupt. If a restaurant does not purchase organic food there is a 64% chance it will go bankrupt. Only 12% of businesses purchase organic food. When a restaurant goes bankrupt what is the probability it purchased organic food

Answers

Answer 1

Answer:

0.1233 = 12.33% probability it purchased organic food

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Goes bankrupt

Event B: Purchase organic food.

Probability it goes bankrupt:

66% of 12%(purchases organic food)

64% of 88%(dont purchase organic food).

So

[tex]P(A) = 0.66*0.12 + 0.64*0.88 = 0.6424[/tex]

Intersection of A and B:

Bankrupt when purchases organic food. So

66% of 12%

[tex]P(A \cap B) = 0.66*0.12 = 0.0792[/tex]

When a restaurant goes bankrupt what is the probability it purchased organic food

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0792}{0.6424} = 0.1233[/tex]

0.1233 = 12.33% probability it purchased organic food


Related Questions

Is this a parallelogram? If so, please explain why.

Answers

Answer:

the answer is no

Step-by-step explanation:

It only shows that one pair of lines are parallel but not both are. Parallelograms have two pairs of parallel lines.

the answer is a no!!!

Please help!! I will give you brain list

Answers

It would take you 16.84 or 17 weeks because 85,489÷10,153 equals 8.42 and if you multiply 8.42 by 2 you would get 16.84

Answer:

It will take you at least 17 full weeks to make twice what you spend on the arcade.

Step-by-step explanation:

The inequality will look like this: 10,153x ≥ 170,978

After 17 weeks, you'll have made $172,601, one week less you'll only make $162,448, so it will take you at least 17 full weeks to make twice what you spent on the arcade.

Find the slope from the graph.

Answers

Answer:

1/6

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

rise=-2

run=3

rise/run(slope)=-2/3

simplify your answer

Answers

Answer:

51

Step-by-step explanation:

Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.​

Answers

Answer:

4 miles/1 day=56 miles/X days

X=56/4=14

Step-by-step explanation:

Answer:

She runs 14 miles.

explanation:

I got it right on my test (before I saw the other answer).

At a large company banquet for several thousand employees and their families, many of the attendees became ill the next day. The company doctor suspects that the illness may be related to the fish, one of three options for the main course. Because all the dinner guests had to preorder their meal, the doctor was able to randomly select and contact 80 people that ate the fish, of which 64 people got sick. The doctor also randomly selected (and contacted) 60 people that did not eat the fish, of which 39 people got sick. The doctor also knows that at least 1000 attendees ordered the fish.

Required:
a. Is this convincing evidence that the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick?
b. Which mistake (a Type I error or a Type II error) could you have made? Interpret the potential error in context.

Answers

Answer:

a. Yes.  This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.

b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error.   A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected.  While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.

Step-by-step explanation:

Total number of attendees who ordered fish = 1,000

Sample size of the attendees who ate fish = 80

Number of attendees who ate the fish and got sick = 64 (80% or 64/80)

Sample size of attendees who did not eat fish = 60

Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)

Part A: The given evidence is convincing to provide the true proportion regarding the attendees.

Part B: The error is a type 1 error in the hypothesis testing.

Type 1 Error and Type 2 Error

A type 1 error in hypothesis testing occurs when a null hypothesis is rejected when it is true.

A type II error in hypothesis testing occurs when the investigator fails to reject the null hypothesis that is actually false.  

Given that, the total number of attendees who ordered fish is 1000. The random selection for the sample size of the attendees who ate fish is 80 of which 64 people got sick.

The number of attendees who ate the fish and got sick is calculated as given below.

No. of attendees =[tex]\dfrac {64}{80}[/tex]

% of No. of attendees = [tex]\dfrac {64}{80}\times 100[/tex]

% of No. of attendees = 80%

The random selection for the sample size of the attendees who did not eat fish is 60 of which 39 people got sick.

The number of attendees who did not eat the fish and got sick is calculated as given below.

No. of attendees  = [tex]\dfrac {39}{60}[/tex]

% of No. of attendees =[tex]\dfrac {39}{60} \times 100[/tex]

% of No. of attendees = 65%

Part A

The given evidence is convincing to provide the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick.

Part B

The mistake here is that the doctor's theory (hypothesis) got rejected regarding the number of attendees who ate the fish got sick than those who did not eat the fish.

This error is a type 1 error in the hypothesis testing.

To know more about the type 1 and type 2 errors, follow the link given below.

https://brainly.com/question/20914617.

If a bootle says 8% fruit juice and it is a 120 milliliter bottle , how many milliliters of fruit juice ?

Answers

Answer:

9.6

Step-by-step explanation:

Simplify: (3x - 4x^2 + 8x^3) + ( - 6x + 2x^4 - 5x^2)

Answers

Answer:

−x(3−9x+8x^2+2x^3)

That's the answer simplified. Not simplified is −3x−9x^2+8x^3+2x^4

Step-by-step explanation:

Is 1/3 less than or greater than 5?

Answers

Answer: Less than 5

Step-by-step explanation: 1/3 is less than one its .33 so 5 is bigger

Answer: 5

Step-by-step explanation: 1/3 is smaller than 5 therefore 5 is bigger

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

Answers

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

Distribute:

18y + 12 + 32y + 24 + 6y =

Combine like terms:

56y + 36

I don't get this part can somebody help pls?

Answers

Answer:

the ground level is -2

Step-by-step explanation:

hope this helps

I WILL GIVE BRAINLIST PLEASE HELP

Is the set of rational expressions closed under ​subtraction​? Explain p(x) - r(x) = ______________
q(x) s(x)
2. Is the set of rational expressions closed under ​multiplication​? Explain ( p(x) ) ( r(x) ) = _______________
q(x) s(x)
3. Is the set of rational expressions closed under ​division​? Explain
p(x) ÷ r(x) = ________________ q(x) s(x)

Answers

Answer:

so where is the equation

James has $25 to spend at the concession stand. He buys nachos for $8.50, a soda for $2.50 and some Sour Straws for $1.25 each. How many Sour Straws can James purchase with the money he has?

A. 1.25x + 11 > 25
B. 1.25x + 11 < 25
C. 11x + 1.25 > 25
D. 1.25x + 11 < 25
E. 11x + 1.25 > 25
F. 25x - 1.25 > 11

Answers

B and D hope it’s right
Answer is D
Hopes this helps

Which do the following options represent the measure of arc RA

A.38.6
B.65.6
C.71.4
D.77.2

Answers

Answer:

77.2°

Step-by-step explanation:

Consider the triangle JKR.

∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)

All the angles in a triangle add up to 180, so:

∠JKR+∠KJR+∠JRK=180

∠JKR+108.6+32.8=180

∠JKR=38.6=∠RKA

Consider ∠RKA. This angle stands on the same arc as ∠RCA.

Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.

2(∠RKA) = ∠RCA

2(38.6)=∠RCA

∠RCA=77.2°

What is the coefficient in the following expression

5+3x+ (-3)​

Answers

Answer:

The coefficient is 3.

Step-by-step explanation:

The coefficient is the number that is grouped with an unknown number represented by a letter.

Please help me with this question what’s 84 + 6 1/3

Answers

Answer:

90 1/3

Step-by-step explanation:

Answer: Mixed number form = 90 1/3

Decimal form = 90.3 with a repation bar

Actual Form = 271 / 3

Step-by-step explanation:

Jordan and Beth are mixing yellow and blue paint to make green paint.
They are both using the same shades of yellow and blue paint.
A green paint made with a higher proportion of blue produces a darker green
Jordan mixes the yellow and blue paint in the ratio of 5:2.
Beth mixes the yellow and blue paint in the ratio of 18:7.
Who has the darker green paint?

Answers

Answer:

Jordan

Step-by-step explanation:

Jordan 5:2 -> 10:4, 15:6   20:8  25:10  50:20  60:24  70:28

Beth  18:7->  36:14  54:21  72:28

When Both of them add 28 of BLUE paint, Jordan adds only 70 yellow paint, while Beth uses 72 yellow paint. This would make Jordan's green darker.

Answer:

HI RACHEL

Step-by-step explanation:

so you do 1 + 1 which equalls to -8

then you do 7 - 9 which qualls 67

LOOL

what is 3,000 + 200 + .4 + .06 in standard from

Answers

Answer:

3,200.406

I think

Step-by-step explanation:

Answer:

Hello! :) have a good day!

3000 + 200 + .4 + 0.6 in standard form is 3201

SOLVE FOR w
-3(w + 5) = -6

Answers

Answer:

Step-by-step explanation:

-3w - 15 = -6

-3w = 9

w = -3

Answer:

w = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-3(w + 5) = -6

Step 2: Solve for w

[Division Property of Equality] Divide -3 on both sides:                              w + 5 = 2[Subtraction Property of Equality] Subtract 5 on both sides:                     w = -3

PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!

Answers

Answer:

B

Step-by-step explanation:

it has a line of 1/12 so every shirt is $12

What is the solution to the equation 9 ^-3x ≈ 7?

Answers

Answer:

Press the png

Step-by-step explanation:

Which is greater? 12.045 or 12.54

Answers

Answer:

12.54

Step-by-step explanation:

Martha brought all of her money with her to the mall. She spent $22.50 on a shirt, so
now she has 3/5 of her original amount left. How much money did Martha bring to the
mall originally?

Answers

Answer:

56.25

Step-by-step explanation:

divided 22.50 in half to get 1/5 then times that 1/5 by 5 to get the answer

Escribe y Resulve la inecuación
Una cuenta de ahorro aumentada en $ 70 es ahora más de $ 400.

Answers

Deje que el dinero en la cuenta de ahorros sea 'x'.

Entonces, el dinero en la cuenta después de que se aumentó = x+70

Dado :

▪︎El dinero en la cuenta después de que se aumentó es mayor que 400.

Las declaraciones dadas anteriormente se pueden escribir en una desigualdad como :

[tex] =\tt x + 70 > 400[/tex]

Resolvamos esta desigualdad :

[tex] = \tt \: x + 70 > 400[/tex]

[tex] = \tt \: x > 400 - 70[/tex]

[tex]\color{plum} =\tt x > 330[/tex]

▪︎Por lo tanto, la desigualdad es = x > 330

Skylas research Shows at eight empty cans make 1/ 4th pound of aluminum
she
wants to know how many cans it takes to make 5 pounds of aluminum how many kids are there per pound of aluminum

Answers

Answer:

160 cans for 5 pounds of aluminum

Step-by-step explanation:

help!!! it shows the instructions in the picture

Answers

Answer:

100:10

36:6

-64:not a real number ig

49:7

81:9

Step-by-step explanation:

how this helps byee

which state ment correctly identifies the line of reflection ​

Answers

The y axis is down the middle of the 2
the answer for this problem is y axis is down the middle of 2

Write an equation using “x” and then solve the equation. The rate charged for a standard room is $250 dollars. A couple stayed in a standard room for x nights and their total room charge is $750.

Answers

Answer:

3 nights

Step-by-step explanation:

total charge = rate times time interval

Here, time interval = total charge / rate

                               $750 = ($250/night)(n nights)

                                Solving for n, we get n = 3 (nights)

An equation for a couple stayed in a standard room for x nights and their total room charge is $750 is, 250x  = 750

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

The rate charged for a standard room is $250 dollars

A couple stayed in a standard room for x nights

Total room charge =  $750

Equation = ?

Total charge = 250 × x

Total charge =  750

So,

250x  = 750

Thus, an equation is 250x  = 750

To know more about Equation check:

https://brainly.com/question/1529522

#SPJ2

Solve the proportion:
-9/6 = 3/x

Answers

Answer:

-2

Step-by-step explanation:

Find m<1..
L
M
70°
1
N
X Х
Z
O
m<1=

Answers

Answer:

the answer is number 9 m1

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