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podryga [215]
3 years ago
13

Diego and Pablo disagree on whether 0.8759 is a rational number or not. Diego says it is not rational, and Pablo says that it is

rational. Who is correct and why?
Mathematics
2 answers:
mina [271]3 years ago
8 0

Pablo is correct because , the number 0.8759 is rational number because it doesn't go on like pi or the square root of 2 it stops at a certain point and was probably rounded . I'm not sure if its 100% correct.

Hope this helps!

yulyashka [42]3 years ago
8 0

Pablo would be correct because the number 0.8759 is a rational number.


A simple way to think about this would be to realize that the number 0.8759 can be written as a fraction (8759/10000).


Another way to determine that this number is rational is that it comes to a complete stop, unlike rational numbers. For example, pi (π) will never end as its digits go on forever and ever. However, 0.8759 doesn't go on forever because there is no indication that it never terminates.

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Find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)
laila [671]
\bf \textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
A=452.16
\end{cases}\implies 452.16=\pi r^2\implies \cfrac{452.16}{\pi }=r^2
\\\\\\
\boxed{\sqrt{\cfrac{452.16}{\pi }}=r}\\\\
-------------------------------\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad \implies C=2\pi \left( \boxed{\sqrt{\cfrac{452.16}{\pi }}} \right)

so, is just that product, recall to use "<span>3.1416 as the value of π".</span>
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3 years ago
Please solve number 1<br> (and explain)
OleMash [197]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Kar
ch4aika [34]

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.

Let \mu = <u><em>mean waiting time for bus number 14.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 10 minutes      {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, H_A : \mu < 10 minutes    {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean waiting time = 7.8 minutes

             s = sample standard deviation = 2.5 minutes

             n = sample of different occasions = 18

So, <u><em>test statistics</em></u> =  \frac{7.8-10}{\frac{2.5}{\sqrt{18} } }  ~ t_1_7

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The value of t test statistics is -3.734.

Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.

Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

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Because the circle is then being split into 4 equal sections, we need to find 1/4 of the area of the whole circle to find the area of one of these sections. 

Since the area of the whole circle is 100 \pi then we just divide that by 4, 
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