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alex41 [277]
3 years ago
9

As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal.

A) How much does popcorn cost per ounce? The cost per ounce is dollars. B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar. C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is
Mathematics
1 answer:
Gennadij [26K]3 years ago
6 0

Answer:

A. $0.25 per ounce

B. 4 ounces per dollar

Step-by-step explanation:

As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal.

A) How much does popcorn cost per ounce? The cost per ounce is dollars.

10 ounces of spicy popcorn = $2.50

1 ounce of spicy popcorn = x

Cross Multiply

10 ounces × x = $2.50

x = $2.50/10 ounces

x = $0.25 per ounce

B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar.

$2.50 = 10 ounces of spicy popcorn

$1 = x ounce of spicy popcorn

Cross Multiply

$2.50 × x = 10

x = 10/2.50

x = 4 ounces per dollar

C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is

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Aleksandr-060686 [28]

Answer:

The expected value of the points earned on a single roll in this game is \dfrac{1}{6} = 0.1667 .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

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                      +1                                                 \frac{1}{6}

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                      +3                                                \frac{1}{6}

                      -4                                                 \frac{1}{6}

                      +5                                                \frac{1}{6}

                      -6                                                 \frac{1}{6}

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X)  =  \sum X \times P(X)

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   =  \frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}

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Hence, the expected value of the points earned on a single roll in this game is  \frac{1}{6} = 0.1667 .

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