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yanalaym [24]
3 years ago
15

Is 0.444444444444444... a rational number? explain

Mathematics
1 answer:
ehidna [41]3 years ago
4 0
No, it is an irrational number. It repeats

No, it is an irrational number because it does not terminate/end
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1) On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the
Musya8 [376]

Answer:

A) 34.13%

B)  15.87%

C) 95.44%

D) 97.72%

E) 49.87%

F) 0.13%

Step-by-step explanation:

To find the percent of scores that are between 90 and 100, we need to standardize 90 and 100 using the following equation:

z=\frac{x-m}{s}

Where m is the mean and s is the standard deviation. Then, 90 and 100 are equal to:

z=\frac{90-100}{10}=-1\\ z=\frac{100-100}{10}=0

So, the percent of scores that are between 90 and 100 can be calculated using the normal standard table as:

P( 90 < x < 100) = P(-1 < z < 0) = P(z < 0) - P(z < -1)

                                                =  0.5 - 0.1587 = 0.3413

It means that the PERCENT of scores that are between 90 and 100 is 34.13%

At the same way, we can calculated the percentages of B, C, D, E and F as:

B) Over 110

P( x > 110 ) = P( z>\frac{110-100}{10})=P(z>1) = 0.1587

C) Between 80 and 120

P( 80

D) less than 80

P( x < 80 ) = P( z

E) Between 70 and 100

P( 70

F) More than 130

P( x > 130 ) = P( z>\frac{130-100}{10})=P(z>3) = 0.0013

8 0
3 years ago
Suppose it costs $43 to roll a pair of dice. you get paid $6 times the sum of the numbers that appear on the dice. is it a fair
lutik1710 [3]

The game is not fair as 6 times the expected sum is less than the cost, $43.

In the question, we are asked if the game is fair.

For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,

6E(X) ≥ 43.

The expected sum for the pair, E(X) can be calculated using the formula,

E(X) = ∑x.p(x),

or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,

or, E(X) = 107/18.

Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.

Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.

Learn more about expected return from a game at

brainly.com/question/24855677

#SPJ4

7 0
2 years ago
Select the correct answer.
Butoxors [25]

Answer:

Approximately 163 seconds (A)

Step-by-step explanation:

Line up 192 months on the x-axis with the line of best fit then run it across to the y-axis and it should be around 163 seconds.

8 0
3 years ago
HELP ME PLEASEEEEE i need this now
OleMash [197]

Answer:

195 yd^2

Step-by-step explanation:

Formula: A = \frac{pq}{2}

p = 7.5 + 7.5 = 15

q = 13 + 13 = 26

A = \frac{26*15}{2}

A = 195

5 0
3 years ago
Read 2 more answers
URGENT How many 1/2 inch cubes does it take to fill a box with a width of 3 1/2 inches, length of 2 1/2 inches, and a height of
lys-0071 [83]

Step-by-step explanation:

3 1/2 x 2 1/2 x 2 1/2

=?

? ÷1/2= answer

4 0
2 years ago
Read 2 more answers
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