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LUCKY_DIMON [66]
3 years ago
11

A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of e

ach ingredient would you need to make in identical recipe that serves 12 people? 36 people? NEED ASAP
Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0

Answer:

For 12 people, the identical recipe that would serve this amount would be 2 liters of lemon-lime soda, 1 pints of sherbet, and 3 cups of ice.

To figure out the corresponding proportion from 24 servings to 12 servings, first we divide 24 by 12, which is 2. The number 2 represents how many times bigger the original recipe is to the smaller 12 servings version, which mean the 24 people version would be twice as big compared to the 12 people serving. So all we have to do to the recipe is divide it in half. And so 4 liters divided by 2 is 2 liters of lemon-lime soda, 2 pints of sherbet becomes 1 pint, and 6 ice cups turns into 3 cups of ice.

Step-by-step explanation:

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dy/dx = - sech(x) tanh(x) / (1 + x²)

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The following tile floor pattern is made of 36 square tiles.
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3 years ago
A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to
melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}

Mean of X:

E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42

Variance of X:

E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}

var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58

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3 years ago
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elixir [45]
Hi. I hope this helps!

I believe the answer is 330.26 left.

1. First you add 274 and 144.25

You get 388.25

2. The. You subtract the amount of the video game from 388.25

You get 330.26

I hope this helps! Have a great day!
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Semenov [28]
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4 years ago
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