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Natasha_Volkova [10]
3 years ago
12

Which number produces a rational number when multiplied by 0.4

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
7 0
A, B and D are already rational numbers, 0.4 itself is a rational number, two rational numbers make a product of rational number. 
So A, B, D are the correct choices. 

Are you sure it asks for rational numbers, not irrational number?
lana66690 [7]3 years ago
7 0

Answer:

A. \frac{2}{7}

B. 0.444....

D. \sqrt{9}

Step-by-step explanation:

A rational number is a real number that can be expressed as \frac{p}{q}

Where, p and q are any integers,

Such that q ≠ 0,

If a real number is not rational then it is irrational.

Also, the product of two rational number is always a rational number while the product of a rational number and an irrational number is always an irrational number,

And, a non terminating recurring decimal and square root of a perfect square number are always a rational number,

Here, \frac{2}{7}, 0.444....., √9 and 0.4 are rational number,

⇒ 0.4 × 2/7, 0.4 × 0.4444...  and  0.4 × √9 are rational number.

Therefore, option A, B and D are correct.

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swat32

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<h2><u><em>207.35</em></u></h2>

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The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a mo
kvasek [131]

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3 0
2 years ago
A college conducts a common test for all the students. For the Mathematics portion of this test, the scores are normally distrib
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Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 502, \sigma = 115

The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:

X = 590:

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

Z = \frac{590 - 502}{115}

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

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

Z = \frac{400 - 502}{115}

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ1

6 0
2 years ago
Someone help please and thank you!!
svlad2 [7]
Https://www.symbolab.com/solver/function-asymptotes-calculator this is a good asymptote calculator
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3 years ago
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