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Studentka2010 [4]
3 years ago
11

Thinking about the areas of a Standard Normal Distribution, if a z value is negative, is the area to the left of z less than 0.5

000, greater than 0.5000 or equal to 0.5000?

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0
A typical plot of the standard normal distribution is shown in the figure below.
The curve is symmetric about z = 0, and the total area under the curve is 1.

It follows that if the value of z is negative, the area to the left of z will be less than 0.5.

Answer:  The area to the left of z is less than 0.5000

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If we take 1200 as the 100%, how much percentage is 700 of it?

well \bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1200&100\\
700&x
\end{array}\implies \cfrac{1200}{700}=\cfrac{100}{x}\implies x=\cfrac{700\cdot 100}{1200}
\\\\\\
x=\cfrac{175}{3}

so, (175/3)% or roughly 58.3%

now, how much is (175/3)% of 15000 ?
well, if we take 15000 as the 100%
then   \bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
15000&100\\
x&\frac{175}{3}
\end{array}\implies \cfrac{15000}{x}=\cfrac{100}{\frac{175}{3}}
\\\\\\
\cfrac{15000\cdot \frac{175}{3}}{100}=x\implies \cfrac{5000\cdot 175}{100}=x
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3 years ago
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