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4 years ago

Is 9.373 a repeating decimal? Is it rational? Explain your reasoning.

2 answers:

6 0

its is not a repeating decimal and it is a rational number because a rational number is a number that does not have repeating decimal but a irrational number does have repeating decimal

-BARSIC- [3]4 years ago

4 0

Answer:

The given number is rational number.

Step-by-step explanation:

We are asked to find whether 9.373 is a repeating decimal.

Since we cannot see a bar on the digits after decimal, so our given number is not a repeating decimal.

We know that a number is rational number, when it can be represented as a fraction.

We can represent our given number as a fraction by multiplying and dividing by 1000 as:

$9.373\times \frac{1000}{1000}=\frac{9373}{1000}$

Therefore, our given number is a rational number.

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There are 6 paintings on three walls of a room. If annart gallery has 13 such rooms, how many paintings are there in its collect

SSSSS [86.1K]

Answer: (I think)

78 paintings

Step-by-step explanation:

6 x 13 = 78

3 0

4 years ago

What is the y-intercept of the line with a slope of − 1/4 that passes through the point (−2, −9/2 )?

svlad2 [7]

-9/2 = -1/4(-2)+ b

-9/2 = 1/2 + b
Minus 1/2 over

B= -5

Hope this helps!

4 0

3 years ago

Read 2 more answers

What are the domain and range of this function? y= (x+3)² - 5

Katarina [22]

Hello!

$\bf y = ( x + 3 )^{2} - 5$

- Separate the function into parts to determine the domain of each part.

$\bf ( x + 3 )^{2} \\ x + 3 \\ 5$

- The domain of a polynomial function is the set of all real numbers.

$\bf x ∈ ℝ$

Domain: ( -∞; ∞ )

$\bf y = ( x + 3 )^{2} - 5$

- Write the second degree function in standard form.

$\bf y = x^{2} + 6x + 4$

- Identifies the coefficients a and b of the second degree function.

$\bf a = 1, b = 6$

- Find the x coordinate of the vertex by substituting a = 1 and b = 6 in x = -b / 2a.

$\bf x = -\frac{6}{2×1}$

$\bf x = -\frac{6}{2}$

$\bf x = -3$

- Calculates the value of the function for x = -3.

$\bf y = ( x + 3 )^{2} - 5$

$\bf y = -5$

Range: ( -3; -5 )

Answer: No answer

Good luck! :)

3 0

3 years ago

Jake built a skateboard ramp, if the distance of the ramp is 10 ft. The ramp rises a

ikadub [295]

Answer:

Angle made by ramp with ground is ≈ $19.29^{\circ}$

Step-by-step explanation:

Diagram of given scenario is shown below.

Given that,

Horizontal Distance of Skateboard ramp is $10$ ft.

Height of Skateboard ramp is $3.5$ ft.

From figure,

It is forming a Right angle triangle $\triangle ABC$ .

In $\triangle ABC$ , $AB=3.5$ and $BC=10$ .

Clearly see that we need to find measure of angle $\angle C$ .

Using Trigonometric ratio:

$Tan(\theta)= \frac{Perpendicular}{Base}$

So, $Tan(\angle C) = \frac{AB}{BC} =\frac{3.5}{10} =0.35$

Then $\angle C=Tan^{-1} (3.5)=19.290046^{\circ}$

Therefore, Angle made by ramp with ground is ≈ $19.29^{\circ}$

8 0

3 years ago

A soda bottling plant fills cans labeled to contain 12 ounces of soda. The filling machine varies and does not fill each can wit

AnnZ [28]

Answer:

$12.1-1.64\frac{0.35}{\sqrt{50}}=12.019$

$12.1+1.64\frac{0.35}{\sqrt{50}}=12.181$

So on this case the 90% confidence interval would be given by (12.019;12.181)

And we can conclude at 90% of confidence that the true mean is between (12.019, 12.181) and since the lower limit is higher than 12 we can conclude that the specification is not satisfied

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=12.1$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=0.35$ represent the population standard deviation

n=50 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$12.1-1.64\frac{0.35}{\sqrt{50}}=12.019$

$12.1+1.64\frac{0.35}{\sqrt{50}}=12.181$

So on this case the 90% confidence interval would be given by (12.019;12.181)

And we can conclude at 90% of confidence that the true mean is between (12.019, 12.181) and since the lower limit is higher than 12 we can conclude that the specification is not satisfied

8 0

3 years ago