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Alekssandra [29.7K]
3 years ago
13

The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use

the Empirical Rule to find the following.
a) What percentage of students have scores between 70 and 130?
b) What percentage of students have scores between 55 and 115?
c) Where would approximately 99.9% of the fall between?
Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Hopefully this helps

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A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.
tatyana61 [14]

Answer:

(a)g(n)=0.05\cdot 2^n

(b)g^{-1}(n)=\log_{2}20g(n)

(c)43 times

Step-by-step explanation:

<u>Part A</u>

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n

<u>Part B</u>

<u />g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)<u />

<u />

<u>Part C</u>

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

3 0
3 years ago
ASAP JUST ANSWER THX
Andrei [34K]

Answer:

Step-by-step explanation:

f(-9)  = 25

g(-1) = 21

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2-(4p+3)=-3(p+2)-(2p+3)
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First, get rid of the parenthesis by <em>distributing.

</em>There is an invisible -1 in front of the first and last set of parenthesis, and a one times any number is the number itself, so you are essentially distributing the negative sign. 
<em>
</em>So you have:     2-4p-3 = -3p-6-2p-3
<em>
</em>Next, <em>Combine like terms.
</em>
Can you take it from there?<em>

</em>
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3 years ago
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1) Escribe las funciones trigonométricas pedidas dados los siguientes triángulos rectángulos.
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It’s horizontal so it would be yes
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