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Diano4ka-milaya [45]
3 years ago
11

1. A drink and a box of popcorn together cost 90p. Two drinks and a box of popcorn together cost £1.45. What does a box of popco

rn cost?
Mathematics
1 answer:
Serga [27]3 years ago
5 0
Let d stand for the cost of a drink and p stand for the cost of a box of popcorn.

d + p = 0.9
2d + p = 1.45

d + p = 0.9
d = 0.9 - p

2(0.9 - p) + p = 1.45
1.8 - 2p + p = 1.45
1.8 - p = 1.45
-p = -0.35
p = 0.35

A box of popcorn costs 35p.
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Answer:

P (2) =\frac{1}{7}  Theoretical probability

Step-by-step explanation:

The theoretical probability is defined as:

P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:

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The amount of paper in the bag is equal to 7, so:

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Thus:

P (2) =\frac{1}{7}

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.

To calculate the experimental probability we must perform the following experiment:

Take a paper out of the bag, record the number obtained and then return the paper to the bag.

Now repeat this experiment n times. (Perform n trials)

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P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}

To calculate a theoretical probability you always need to perform an experiment with n trials.

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Step-by-step explanation:

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