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Alexandra [31]
3 years ago
7

Which is greater? The square root of 121 or the cube root of 125. Explain your answer.

Mathematics
2 answers:
nikdorinn [45]3 years ago
6 0

Answer:

The square root of 121.

Step-by-step explanation:

The square root of 121 is 11. 11x11=121 which makes the square root of 121, 11. The cube root of 125 is 5. Cube roots are numbers that are multiplied by each other to make a number, 125 is 5x5x5 so the cube root is 5. 11 is a greater number than 5 which makes the square root of 121 greater.

snow_lady [41]3 years ago
5 0

\bold{Hey\ there!}\\ \\ \bold{\sqrt{121}=11^2=11\times11=121} \\ \bullet{\sqrt{121}=11} \\ \\ \bold{\sqrt{125}=\sqrt[5]{5}=5} \\ \bold{\bullet{The\ cubed\ root\ of\ 125\ is\ 5}}  \\ \\ \boxed{\boxed{\bold{Answer:\sqrt{121}\ is\ bigger\ than\ \sqrt[125]}}}\checkmark

\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}

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Suppose that, after measuring the duration of many telephone calls, a telephone company found their data was well-approximated b
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Answer:

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c) Cumulative Distribution Function

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Step-by-step explanation:

We are given the following in the question:

p(x) = 0.1 e^{-0.1x}

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a) P( calls last between 2 and 3 minutes)

=\displaystyle\int^3_2 p(x)~ dx\\\\= \displaystyle\int^3_20.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^3_2\\\\=-\Big[e^{-0.3}-e^{-0.2}\Big]\\\\= 0.0779\\=7.79\%

b) P(calls last 4 minutes or more)

=\displaystyle\int^{\infty}_4 p(x)~ dx\\\\= \displaystyle\int^{\infty}_40.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^{\infty}_4\\\\=-\Big[e^{\infty}-e^{-0.4}\Big]\\\\=-(0- 0.6703)\\= 0.6703\\=67.03\%

c) cumulative distribution function

P(t) = \displaystyle\int^{\infty}_{-\infty} 0.1e^{-0.1t}~dt\\\\= \displaystyle\int^{b}_{a} 0.1e^{-0.1t}~dt, ~~a\leq t \leq b

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Estimated Reading Time: 4 mins

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