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Alenkasestr [34]
3 years ago
5

He sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n 2), where n is the number

of sides. Benita solves this equation for n and writes the equivalent equation n = + 2. Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°?
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0

Answer:

9

Step-by-step explanation:

Equation

Sum = s  = 180*(n - 2)

Solution

1260 = 180*(n - 2)             Divide by 180

1260 / 180 = 180 * (n -2 ) / 180

7 = n - 2                             Add 2 to both sides

9 = n            

Answer

The polygon has 9 sides.

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2 years ago
The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds
Feliz [49]

Answer:

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 200, \sigma = 50

Find the probability that he weighs between 170 and 220 pounds.

This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.

X = 220

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

Z = \frac{220 - 200}{50}

Z = 0.4

Z = 0.4 has a pvalue of 0.6554

X = 170

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

Z = \frac{170 - 200}{50}

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6 0
3 years ago
What is the theoretical probability of randomly choosing a blue marble from a bag of 5 blue marbles, 8 red marbles, and 7 yellow
Burka [1]

Answer:

25%

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The chance of picking a blue marble is \frac{5}{20} =\frac{1}{4} =0.25=25%, as there's 5 blue marbles and a total of 20.

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2 years ago
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Answer:

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Step-by-step explanation:

For this exercise it is important to read and analize carefully the information provided.

According to the data given in the exercise, the height of each floor the arquitect is designing is 12 feet.

You want to know the number of floors of 12 feet tall that building can have for a given building height.

Then, you can let "h" represents the height of the building. This will be the variable in the expression.

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Therefore, you can determine that the expression asked in the exercise is the following:

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8 0
3 years ago
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