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2 years ago

12

At the Royal Dragon Chinese restaurant, a slip in the fortune cookies indicates a dollar amount that will be subtracted from yo

ur total bill. A bag of 10 fortune cookies is given to you from which you will select one. If six fortune cookies contain "$1 off," contain "$3 off," and contains "$6 off," determine the expectation of a selection.

1 answer:

Afina-wow [57]2 years ago

5 0

Answer:

We can expect $1.7 off

Step-by-step explanation:

We are given 10 fortune cookies out of which

$1 off = 7 cookies

$2 off = 2 cookies

$6 off = 1 cookie

Probability

A = drawing $1 off cookies P(A) = 7/10

B= drawing $2 off cookies P(B) = 2/10

C= drawing $6 off cookie P(B) = 1/10

Expectation = 1*7/10 + 2*2/10+ 6*1/10

= 7/10 + 4/10 + 6/10

= 17/10 = $1.7 off

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Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri

Korvikt [17]

Answer:

The car uses less gas

They use the same amount of gas after $\frac{640}{7}$ miles

Step-by-step explanation:

Given

The table represents the car mileage

$y = -\frac{1}{5}x + 31$ --- The van

First, calculate the car's slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the table, we have:

$(x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)$

So, we have:

$m = \frac{10.5 - 13.5}{180 - 60}$

$m = \frac{-3}{120}$

$m = -\frac{1}{40}$

Calculate the equation using:

$y = -\frac{1}{40}(x - 60)+13.5$

$y = -\frac{1}{40}x + 1.5+13.5$

$y = -\frac{1}{40}x + 15$

$m = -\frac{1}{40}$ implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

$y = -\frac{1}{5}x + 31$ --- The van

By comparison to: $y = mx + b$

$m = -\frac{1}{5}$

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

By comparison:

$1/40 < 1/5$

This means that the car uses less gas

Solving (b): Distance traveled for them to use the same amount of gas.

We have:

$y = -\frac{1}{5}x + 31$ --- The van

$y = -\frac{1}{40}x + 15$ --- The car

Equate both

$-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15$

Collect like terms

$\frac{1}{40}x -\frac{1}{5}x =-31 + 15$

$\frac{1}{40}x -\frac{1}{5}x =-16$

Take LCM

$\frac{x - 8x}{40} = -16$

$\frac{- 7x}{40} = -16$

Solve for -7x

$-7x = -640$

Solve for x

$x = \frac{640}{7}$

5 0

3 years ago

PLEASE HELP! i have a couple minutes left

swat32

Answer:

1.8

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

(86-32)/(30-0)

54/30

1.8

8 0

4 years ago

Read 2 more answers

Convert 86000 cm to km. Show all of your work.

Licemer1 [7]

1km=1000m = 100000cm
86000cm= 0.86km

6 0

3 years ago

Read 2 more answers

According to Greg, the perfect cherry pies have a ratio of 240 cherries to 3 pies. How many cherries does Greg need to make 9 pe

harkovskaia [24]

Answer:

720 cherries

Step-by-step explanation:

3 pies need 240 cherries so the equation would be:

3c = 240

so, <u>c = 80</u>

But, he needs to make 9 "perfect" pies so you make the equation:

9c = 80*9

9c = 720

So Greg needs 720 cherries to make 9 perfect cherry pies.

6 0

3 years ago

Last year a school raised $19,950 by selling $15 tickets to a carnival fundraiser.This year the school will charge $20 per ticke

Vera_Pavlovna [14]

Well they would of sold 1330 tickets if they raised $19950 by selling each ticket at $15, so if it was $20 per ticket t would be $26600

4 0

4 years ago