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3 years ago

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Mathematics

2 answers:

Artemon [7]3 years ago

7 0

Answer:

1.) 1 1/14

2.) 1/5

3.) 1/15

4.) 1

(They are all simplified)

Step-by-step explanation:

larisa86 [58]3 years ago

3 0

Answer:

1. 1 1/14

2. 1/5

3. 1/15

4. 1

Step-by-step explanation:

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A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall

Vlad1618 [11]

Answer: (2.54,6.86)

Step-by-step explanation:

Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.

We assume the incomes are normally distributed.

Mean income : $\mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7$

Standard deviation : $\sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}$

$=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}$

$=\dfrac{30.265}{10}=3.0265$

The confidence interval for the population mean (for sample size <30) is given by :-

$\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given significance level : $\alpha=1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=t_{9,0.025}=2.262$

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

$4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)$

Hence, 95% confidence interval for the true mean= (2.54,6.86)

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3 years ago

There are four classes of third graders at Woodbury Elementary School. One class has 24 students, one has 26 students, another h

Margarita [4]

<span>The answer to this problem is B. 24 + 26 + 31 + 22. </span>

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3 years ago

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Which expression equals a number that is NOT a rational number?

rewona [7]

$\frac{3\pi.3^3}{7}$ is not included as a rational number !

<u>Step-by-step explanation:</u>

Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:

We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !

Here Expressions are:

$\frac{3\pi . 3^3}{7\pi}$ :

Let's evaluate this expression

⇒ $\frac{3(\pi) ( 3^3)}{7(\pi)}$

⇒ $\frac{3^4}{7}$

Therefore , It is a rational number ! .

$\frac{-18}{5}$ :

Let's evaluate this expression

⇒ $\frac{-18}{5}$

Therefore , It is a rational number ! .

$\frac{5}{3-7-9}$ :

Let's evaluate this expression

⇒ $\frac{5}{3-16}$

⇒ $\frac{-5}{13}$

Therefore , It is a rational number ! .

$\frac{3\pi.3^3}{7}$ :

Let's evaluate this expression

⇒ $\frac{3\pi.3^3}{7}$

⇒ $\frac{\pi.3^4}{7}$

Therefore , It is not a rational number , as pi is included ! .

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A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. Points and a line show an upward trend.

anzhelika [568]

Answer:

0.19 or C on ed!!!

Step-by-step explanation:

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A crate of oranges has trays inside that hold 9 oranges each. There are 72 oranges in the crate. If all trays are filled,how man

bogdanovich [222]

There are 8 trays. (9)(8)=72.

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3 years ago

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