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3 years ago

Write (3a)^3 without exponents

Mathematics

2 answers:

Natalija [7]3 years ago

8 0

Hi!

Step-by-step explanation:

Exponent rule

$3^3a^3$

Then, you multiply by the numbers from left to right.

3*3*3=27

Final answer is →→→ $\boxed{27a^3}$

Hope this helps!

Have a nice day! :)

-Charlie

Thank you!

makkiz [27]3 years ago

7 0

Answer: 27a^3

It is 27a^3 because if you do 3×3=9 then 9×3= 27

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The sum of relative frequencies is equal to one, since the sum of all fractional parts must equal the whole.

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3 years ago

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3 years ago

In a study to establish the absolute threshold of hearing, 80 male college freshmen were each seated in a soundproof room and a

Norma-Jean [14]

Answer:

Step-by-step explanation:

Hello!

To study the threshold of hering the researcher took a random sample of 80 male college freshmen.

The students underwent an audiometry test where a tome was played and they had to press a button when they detected it. The researcher recorded the lowest stimulus level at which the tone was detected obtaining a sample mean of X[bar]= 22.2 dB and a standard deviation of S= 2.1 dB

To estimate the population mean, since we don't have information about the variable distribution but the sample size is greater than 30, you can use the approximation of the standard normal distribution:

X[bar] ± $Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }$

Where the semiamplitude or margin of error of the interval is:

d= $Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }$

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The point estimate of the population mean of the threshold of hearing for male college freshmen is X[bar]= 22.2 db

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I hope this helps!

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3 years ago

A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume t

sladkih [1.3K]

Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

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$\frac{dy}{dt}=ky(1-y)$

where k is the constant of proportionality, dy/dt = rate at which the rumor spreads

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