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Misha Larkins [42]
3 years ago
9

Choose the best description for the real number 34/3

Mathematics
1 answer:
leonid [27]3 years ago
6 0
The best description to simplify 34/3 would be 11.33 on going

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The Foldgers Black Silk K-cup coffee pods weigh on average .28 ounces with a standard deviation of .05 ounces. Answer each of th
iragen [17]

Using the Empirical Rule, it is found that:

  • 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.
  • 0.16 = 16% probability that a K-cup will have more than .33 ounces.
  • 20 of them will weight <u>less than 0.23 ounces.</u>
  • 2.5% of K-cups are considered weak.
  • 36 will weigh <u>between 0.23 and 0.38 ounces</u>.
  • 30 of the Sam's Club box of K-cups are ideal.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are <u>within 1 standard deviation</u> of the mean.

Approximately 95% of the measures are <u>within 2 standard deviation</u>s of the mean.

Approximately 99.7% of the measures are <u>within 3 standard deviations</u> of the mean.

In this problem:

  • The mean is of 0.28 ounces.
  • The standard deviation is of 0.05 ounces.

First, by the <u>Empirical Rule</u>, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.

0.33 ounces is <u>one standard deviation above the mean</u>.

  • 68% of the measures are between 0.23 and 0.33 ounces.
  • The normal distribution is symmetric, which means that of the remaining 100 - 68 = 32%, 16% are less than 0.23 ounces and 16% are more than 0.33 ounces, thus:

0.16 = 16% probability that a K-cup will have more than .33 ounces.

16% weigh <u>less than 0.23 ounces.</u> Out of 128:

0.16(128) = 20

20 of them will weight <u>less than 0.23 ounces.</u>

5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.

  • 0.23 is one standard deviation below the mean.
  • 0.38 is two standard deviations above the mean.
  • Of the 50% below the mean, 68% are above 0.23.
  • Of the 50% above the mean, 95% are below 0.38.

Thus, the proportion <u>between 0.23 and 0.38</u> is:

p = 0.68(0.50) + 0.95(0.5) = 0.815

Out of 44:

0.815(44) = 36

36 will weigh <u>between 0.23 and 0.38 ounces</u>.

68% are within 1 standard deviation of the mean.

Out of 44:

0.68(44) = 30

30 of the Sam's Club box of K-cups are ideal.

A similar problem is given at brainly.com/question/13503878

7 0
2 years ago
Solve the math problem
xxMikexx [17]

Answer:

Step-by-step explanation:

6 0
2 years ago
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Ben is 444 times as old as Ishaan. 666 years ago, Ben was 666 times as old as Ishaan.
Scilla [17]

Answer:

Uhm well I've heard this story and thats not quite how it goes BUT I'm pretty sure That been ben would be 600 years old while Ishaan is 150

3 0
2 years ago
Solve for x and graph: <br> show your work!<br><br> -9x -30 &lt; 15?
GarryVolchara [31]
-9x - 30 < 15
<u>      + 30 + 30</u>
       <u>-9x</u> < <u>45</u>
        -9     -9
           x < -5
8 0
3 years ago
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What is an equation of the line that passes through the points (-2, 1) and (-8, 4)?
Grace [21]

Answer:

<h2>3x + 6y = 0</h2>

Step-by-step explanation:

Equation of a line = y = mx + c

where m = slope

m = (1 - 4) / (-2 - (-8))

<h3>m = -3 / 6</h3>

y - 1 = -3/6 (x + 2)

6y - 6 = -3x - 6

3x + 6y = 0

4 0
2 years ago
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