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irga5000 [103]
3 years ago
6

How do I solve this STATS question?

Mathematics
1 answer:
k0ka [10]3 years ago
7 0
We have the following data:

Margin of Error = E = 2.7 % = 0.027
Sample size = n = 900
Proportion of adults in favor = p = 60% = 0.6

We need to find the confidence level. For this first we need to find the z value.

The margin of error for a population proportion is given as:

E=z* \sqrt{ \frac{p(1-p)}{n} }

Using the values, we get:

0.027=z* \sqrt{ \frac{0.6*0.4}{900} } \\  \\ 
0.027=z*0.016 \\  \\ 
z= \frac{0.027}{0.01633}  \\  \\ 
z=1.65

As, seen from the z table, z=1.65 corresponds to the confidence level 90%. So, the answer to this question is option B
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Top left triangle:
The equation to find the area of a triangle is
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a = b · h · \frac{1}{2}
Now let's add in our values and solve.
a = 2 · 4 · \frac{1}{2}
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a = 4

Now since there are 4 of these triangles, and they're all the same size,
4 · 4 = 16
All of the triangles put together = 16cm²

The middle rectangle:
The equation to find the area of a rectangle is simple:
(w = width, l = length, a = area)
a = w · l
Now let's put in our values and solve.
a = 4 · 8
a = 32

The rectangle is 32cm²

Now let's add the areas together. 
32 + 16 = 48

The answer is <span>48cm²

Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
</span>
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gulaghasi [49]

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Step-by-step explanation:

i can type in the steps if you want

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