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Ne4ueva [31]
3 years ago
13

What is the slope of the line given by the equation y = -5x? Enter your answer as an integer or fraction in lowest terms.

Mathematics
1 answer:
posledela3 years ago
5 0
Y=mx+b
m= slope
so -5 is the slope of the given line
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Data are drawn from a bell-shaped distribution with a mean of 25 and a standard deviation of 4. There are 1,000 observations in
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Answer:

a. 97.72% of the observations are less than 33

b. Approximately 977 observations are less than 33.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 25 and a standard deviation of 4.

This means that \mu = 25, \sigma = 4

a. Approximately what percentage of the observations are less than 33?

The proportion is the p-value of Z when X = 33. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{33 - 25}{4}

Z = 2

Z = 2 has a p-value of 0.9772

0.9772*100% = 97.72%

97.72% of the observations are less than 33.

b. Approximately how many observations are less than 33?

Out of 1000:

0.9772*1000 = 977.2

Approximately 977 observations are less than 33.

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2 years ago
How many complete revolutions are needed to draw the angle725°
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Answer:

2.01

Step-by-step explanation:725 divided by 360

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3 years ago
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The word problem below has too much information. Which facts are not
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Answer:20%

Step-by-step explanation:

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3 years ago
There are 100 people in a sport centre. 67 people use the gym. 62 people use the swimming pool. 56 people use the track. 38 peop
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Answer:

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Step-by-step explanation:

<u>Number of people using more than one sport facility:</u>

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<u>Since 16 is counted for all three, total number of those using more than one facility is therefore:</u>

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<u>Number of people using exactly one facility is:</u>

  • 100 - 70 = 30

<u>Probability of the person using exactly one facility is:</u>

  • 30/100 = 0.3 or 30%
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2 years ago
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