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2 years ago

Help help help thanks

Mathematics

1 answer:

bija089 [108]2 years ago

7 0

The answers are C and E,
According to the interior and exterior angle theorem, this should be correct:
<3+<4+<6=180
<3+<1=180
<4+<6=<1
so they are the interior opposite of <1

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<u>b. The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 0.5871 or 58.71%</u>

<u>c. The probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams is 0.0694 or 6.94%</u>

d. <u>The sample mean of 62.75 would represent the 15th percentile</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question properly:

μ of the mass of slices of pizza for a certain brand = 67.7 grams

σ of the mass of slices of pizza for a certain brand = 2.28 grams

2. For samples of size 20 pizza slices, what is the standard deviation for the sampling distribution of the sample mean?

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3. What is the probability of finding a random slice of pizza with a mass of less than 67.2 grams?

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z-score = (X - μ)/σ

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Now, using the z-table, let's find p, the probability:

p (z = 0.22) = 0.5871

<u>The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 58.71%</u>

4. What is the probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams?

Let's use the central limit theorem to find the z-score, this way:

z-score = X - μ/s.e

z-score = 67.2 - 67.7/0.338

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Now, using the z-table, let's find p, the probability:

5. What sample mean (for a sample of size 20) would represent the bottom 15% (the 15th percentile)?

For p = 0.150, let's find the z-score:

z-score = - 2.17

z-score = X - μ/s.e

- 2.17 = (X - 67.7)/2.28

- 4.95 = X - 67.7

X = 67.7 - 4.95

X = 62.75 (rounding to the next hundredth)

<u>The sample mean of 62.75 would represent the 15th percentile</u>

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