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Stella [2.4K]
2 years ago
8

If your score on a computer game is less than 0, you lose your next turn. For what scores will you lose your turn? Write an ineq

uality to represent this situation. Then graph the solution.
Mathematics
1 answer:
spayn [35]2 years ago
7 0

Answer:0

Step-by-step explanation:

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Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 67.7 grams an
Alexxx [7]

Answer:

<u>a. s.e. = 0.338</u>

<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?

Let's recall that the standard deviation of the sampling distribution of the mean is called the standard error of the mean and its formula is:

μσs.e.= √σ/n, where n is the sample size.

s.e. = √2.28/20

<u>s.e. = 0.338</u>

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

Let's find the z-score for X = 67.2, this way:

z-score = (X - μ)/σ

z-score = (67.2 - 67.7)/2.28

z-score = 0.5/2.28

z-score = 0.22 (rounding to the next hundredth)

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

z-score = -0.5/0.338

z-score = - 1.48

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

<u>p (z = -1.48) = 0.0694</u>

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>

7 0
2 years ago
W + 4 = (-6) This is an algebra question and I don't get the negative
Arada [10]

Answer:

w = -10

Step-by-step explanation:

w + 4 = (-6)

Subtract 4 from each side

w+4-4 = -6-4

w = -10

7 0
2 years ago
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The value of 14 is 35% of
neonofarm [45]

Answer:

40

Step-by-step explanation:

(35/100) of X = 14

(7/20) × X = 14

X = 14 × 20/7

X = 40

4 0
3 years ago
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Perpendicular lines intersect to form right angles.<br><br> always<br> sometimes<br> never
Ymorist [56]
Always- their slopes are always opposite reciprocals of each other
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SOMEONE PLEASE HELP ME IM STRESSED OUT I’ll GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW
Valentin [98]

Answer:

well what's the question

Step-by-step explanation:

4 0
2 years ago
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