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2 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]2 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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Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 mph, and the rest was along a hi

pashok25 [27]

Answer:

45 miles.

Step-by-step explanation:

Given that the:

Total distance covered = 390 miles

Total time = 8 hours

Let the distance covered along the local way = L

And the distance covered along the highway = H

Along with local way,

Speed = distance/ time

20 = L / T

T = L /20 .... (1)

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Distance covered H = 390 - L

Let the time = t

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But total time = T + t

That is

8 = L/20 + (390 - L)/60

The LCM at right hand side will be 60

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Cross multiply

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Collect the like terms

2L = 480 - 390

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L = 90/2

L = 45 miles.

Therefore, the distance Minato drive along local roads is 45 miles

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2 years ago

You roll a colored cube with one white side, two red sides, and three blue sides. What is the expected number of red sides you w

miskamm [114]

Hello!

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Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If $Z \leq -2$ or $Z \geq 2$ , the outcome X is considered unusual.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .