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german
3 years ago
11

Emma and her friend arrive in Langdale and decide to go for a coffee. The owner of the café is giving a free cupcake to every 4t

h customer. Emma is the 17th customer that morning. will emma have a free cupcake?
Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0
If the owner is giving a free cupcake to every 4th customer. Then the easiest way to do this is to follow the 4 times table: 4, 8, 12, 16, 20

So the answer is No, Emma will not be receiving a free cupcake as she is the 17th customer and doesn't fall into the 4th customer pattern.
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Answer:

Explained below.

Step-by-step explanation:

The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.

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A sample of size 50.

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<u>Solution:</u>

\text { Given, equation is } y=x^{2}+8 x+15

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By using intercept form, we can put value of y as  to obtain zeros of function

We know that, intercept form of above equation is x^{2}+8 x+15=0

\text { Splitting } 8 x \text { as }(5+3) x \text { and } 15 \text { as } 5 \times 3

\begin{array}{l}{\rightarrow x^{2}+(5+3) x+5 \times 3=0} \\\\ {\rightarrow x^{2}+5 x+3 x+5 \times 3=0}\end{array}

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