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insens350 [35]
2 years ago
13

A group of teenagers are asked about their favourite hobbies. The results are shown in the following table: Sports Playing video

games Watching films Total
Male 9 2 3 14
Female 7 3 8 18
Total 16 5 11 32
Q6a. In fractions, what is the probability that a teenager selected at random is female and their favourite hobby is watching films? You can simplify this fraction if you wish.
Mathematics
1 answer:
sashaice [31]2 years ago
8 0

Using the probability concept, it is found that there is a \frac{1}{4} probability that a teenager selected at random is female and their favorite hobby is watching films.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

  • There is a total of 32 teenagers.
  • Of those, 8 are female with a favorite hobby of watching films.

Hence:

p = \frac{8}{32} = \frac{1}{4}

\frac{1}{4} probability that a teenager selected at random is female and their favorite hobby is watching films.

You can learn more about the probability concept at brainly.com/question/15536019

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3 years ago
Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c
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Answer:

(C)c= \frac{3}{7}f

Step-by-step explanation:

Clare uses 9\frac{1}{3} cups of flour to make 4 cakes.

It means  she uses 1 cup of flour to make 4\div9\frac{1}{3} cakes.

Let us simplify that expression first for future use.

4\div9\frac{1}{3}=4\div\frac{28}{3} =4 X \frac{3}{28} =\frac{3}{7}

Therefore, Clare uses 1 cup of flour to make \frac{3}{7} cakes.

If Noah follows the same recipe,

He uses f cups of flour to make c cakes

Using Ratio Method

→  Name  :  Cup  :  Cake

→  Clare   :    1        :   \frac{3}{7}

→  Noah   :     f       :   c

By using cross multiplication

c X 1 = \frac{3}{7}f

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The equation c= \frac{3}{7}f represents the relationship between c and f

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