Three workers at a fast food restaurant pack the take-out chicken dinners. john packs 45% of the dinners, mary packs 25% of the dinners and sue packs the remaining dinners. of the dinners john packs 4% do not include a salt packet. if mary packs the dinner 2% of the time the salt is omitted. lastly, 3% of the dinner's do not include salt if sue does the packing. what is the probability that you will have salt packed with your dinner

The probability of that you will have salt packed with your dinner is

Further explanation:

The probability can be obtained as the ratio of favorable number of outcomes to the total number of outcomes.

Given:

John packs of the dinners, Mary packs of the dinners and Sue packs the remaining dinners. Of the dinners John packs do not include a salt packet. If Mary packs the dinner of the time the salt is omitted. Lastly, of the dinners do not include salt if Sue does the packing.

Explanation:

The probability of John packs the dinner can be expressed as follows,

The probability of Mary packs the dinner can be expressed as follows,

The probability of Sue packs the dinner can be expressed as follows,

The probability of no salt packet is packed given that the John packs for dinner can be expressed as follows,

The probability of no salt packet is packed given that the Mary packs for dinner can be expressed as follows,

The probability of no salt packet is packed given that the Sue packs for dinner can be expressed as follows,

The probability of that you will have salt packed with your dinner can be expressed as follows,

The probability of that you will have salt packed with your dinner is

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function .

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Three worker, fast food, restaurant pack, chicken dinners, John packs, 45% of the dinners, Mary, 25% of dinner, Sue packs remaining, 4% so not include salt, salt packet, salt is omitted, dinner, 2%, 3%, purchased dinner, probability.

step-by-step explanation: it is d

tell you what. i'll find the length of the medians and you can fill in the blanks where they belong.

br

b = (2a,0)

r = (a/2,b/2) remember these things are medians. they go to the 1/2 way point of the line opposite the vertex they face.

br^2 =   (2a - a/2)^2 + (0 - b/2)^2

br^2 = (3/2 a) ^2 + b^2 / 4

br^2 = 9/4 a^2 + b^2 / 4   we need to find some relationship between a and b.

let's try ab = bc  

ab = 2a

bc = (2a - a)^2 + (b - 0)^2

bc = sqrt(a^2 + b^2)

ab = bc

2a = sqrt(a^2 + b^2) square both sides.

4a^2 = a^2 + b^2 subtract a^2 from both sides.

sqrt(3a^2) = sqrt(b^2)

sqrt(3)a = b

let's put b into br^2

br^2 = 9/4 a^2 + 3b^2 / 4

br^2 = 12 a^2 / 4

br^2 = 3a^2 

br = sqrt(3) * a

cp

c = (a,b) ; p = (a,0) this is another application of the distance formula, and it is a good one.

cp^2 = (a - a)^2 + (b - 0)^2

cp^2 = 0 + b^2

cp^2 = b^2 which you can see from the diagram. 

cp = sqrt(b^2)

cp = b but b = sqrt(3) * a 

cp = sqrt(3)*a

aq

a = (0,0)

q = (3/2) a, b/2

aq^2 = (3a/2 -0)^2 + (b/2 - 0)^2

aq^2 = 9a^2/4 + b^2/4

but b = sqrt(3) * a 

aq^2 = 9a^2 / 4 + (sqrt(3)*a)^2 /4

aq^2 = 9 a^2/ 4 + 3 a^2 / 4

aq^2 = 12 a^2/4

aq^2 = 3 a^2

aq = (sqrt  3) * a which agrees with the other two.