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Alexandra [31]
2 years ago
11

Use the Empirical Rule to determine the percentage of candies with weights between 0.7 and 0.98 gram. ​Hint: x=0.84

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
7 0

Using the Empirical Rule, it is found that 95% of the candies have weights between 0.7 and 0.98 gram.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Researching this problem on the internet, we have that:

  • The mean is of 0.84.
  • The standard deviation is of 0.07.

Then 95% of the candies have weights between 0.7 and 0.98 gram, as:

  • 0.7 = 0.84 - 2 x 0.07.
  • 0.98 = 0.84 + 2 x 0.07.

More can be learned about the Empirical Rule at brainly.com/question/24537145

#SPJ1

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NO

Step-by-step explanation:

The left side  0.25  does not equal to the right side  0.125  , which means that the given statement is false.

8 0
3 years ago
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Suppose a six-sided die is tossed 1200 times and a 6 comes up 419 times. (a) Find the empirical probability for a 6 to occur. (E
krok68 [10]

Answer:

Here both probabilities are not equal.

Therefore the die is not fair and biased.

Step-by-step explanation:

Now n= 1200 times and x = 419 times.

a) Empirical Probability:

         =\frac{x}{n} \\\\= \frac{419}{1200}\\ \\=0.349

Probability = 0.349

b) Theoretical Probability:

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Here both probabilities are not equal.

Therefore the die is not fair and biased.

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3 years ago
Is g(x) the inverse function of f(x)?<br> f(x)=x–7<br> g(x)=–5x–9
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No

Step-by-step explanation:

The inverse function of f(x) is x+7

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3 years ago
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*SUPER EASY POINTS**COORDINATES RELATED*
andreev551 [17]

Answer:

8.  (0,-2)

9. (-2,1)

Step-by-step explanation:

Lucy's house is at (1,1)

Down means in the y coordinate , left means negative x

Down 3 means subtract 3 from y

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