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Ludmilka [50]
3 years ago
11

{29, 29, 29, 28, 28, 27}

Mathematics
2 answers:
spayn [35]3 years ago
7 0
Hello!

You first have to look and see if there is an outlier

An outlier is something that is away from the rest of the data

All the numbers are with 1 from each other so there is no outliers

The answer is the first one

Hope this helps!
son4ous [18]3 years ago
4 0

Answer:

The answer is mean or median because there is no outlier

Step-by-step explanation:   I took the quiz and got it right.

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Round 6.007 to the nearest hundredth
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6.007 to the nearest hundredth

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During a regular respiratory cycle, the volume of air in liters in the human lungs can be described by the function V(t) = 0.173
guapka [62]

Answer:

<h3>A. about 3.4 seconds</h3>

Step-by-step explanation:

Given the volume of air in liters in the human lungs described by the function V(t) = 0.173t +0.15t^2 - 0.035t^3 where t is the time in seconds,

The beginning of this respiratory cycle for the lungs to fill to their maximum volume of air occurs when dV/dt = 0

dV/dt = 0.173 + 0.3t - 3(0.035)t²

dV/dt = 0.173 + 0.3t - 0.105t²

Since dV/dt = 0

0.173 + 0.3t - 0.105t² = 0

multiply through by -1

-0.173 - 0.3t + 0.105t² = 0

0.105t² -0.3t-0.173 = 0

Factorize;

t = 0.3±√0.3²+4(0.105(0.173))/2(0.105)

t = 0.3±√0.09+0.07266/0.21

t =  0.3±√0.16266/0.21

t = 0.30±0.4033/0.21

t = 0.7033/0.21

t = 3.349secs

t ≈ 3.4secs

Hence it will take about 3.4secs for the lungs to fill to their maximum volume of air

7 0
3 years ago
You invest $4000 in a bank account with 5% interest compounded annually. You are wondering how long it would take for your money
SCORPION-xisa [38]
The formula for compound interest is written as A = P(1 + \frac{r}{n})^{nt}, where <em>P </em>is the principal (initial amount), <em>r</em> is the rate of interest, <em>n</em> is the number of times it's compounded per year, and <em>t</em> is the time in years.  With the values from this problem plugged in, it looks like:

A = 4000(1.05})^{t}

Since you're trying to find when your money will double, put 8000 for <em>A </em>and solve for <em>t</em><em /> :

8000 = 4000(1.05})^{t} \\ \\ 2 = (1.05})^{t} \\ \\ t=log_{1.05}2 \\ \\ t = 14.20669908289

It will take approximately 14.21 years, or about 14 years, 2 months, and 16 days, for the money to double.
7 0
3 years ago
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