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2 years ago

In art class 40% of students use watercolors for art. 16 students used watercolors. How many students are there?

Mathematics

2 answers:

Masteriza [31]2 years ago

8 0

Answer: 40

Step-by-step explanation:

16x2=32

32+(16/2)=40

Anastasy [175]2 years ago

4 0

Answer:

Step-by-step explanation:

40% = 16

1% = 16 ÷ 40 = 0.4

100% = 0.4 x 100 = 40

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STEP-BY-STEP EXPLANATION:

Given:

Standard deviation (σ) = 700

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$\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\ \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\ \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\ \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}$

Now, we calculate the minimum value of the sample size as follows:

$\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\ \\ \text{ We replacing:} \\ \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\ \\ \:n=103.2858\cong104 \end{gathered}$

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