Each exterior angle of a regular polygon measures 24 degrees. How many sides does the polygon have?

mars1129 [50]

Answer:

-5/14

Step-by-step explanation:

When adding fractions, you need to have a common denominator, the bottom part of a fraction. Because one denominator is 14 and the other is 7, you must create a new denominator.

To create a new denominator, you can either reduce a fraction or multiply it by something, which is easier.

For this problem, we can convert 2/7's denominator into 14 instead of 7 by multiplying the fraction by 2/2:

2 x 2 = 4

7 2 = 14

2/7 has now converted into 4/14. Now, we can easily add.

-9/14+4/14 This can be rewritten as something more understandable.

4/14-9/14 We are now subtracting.

-5/14 This cannot reduce, so it is our answer.

I hope this helps!! Have an amazing day and let me know if you want more explanation ;)

3 0

3 years ago

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the d

makkiz [27]

Answer:

The second week had 10 more golfers than the first week.

Step-by-step explanation:

The graph clearly shows that the second week golfer are more than the first week. The median for week 2 is greater than the median of week 1. The graph of week 2 shows that number of golfers had increased and their age is between 60 to 80 years of age. The median of week 2 is 79 where as median of week 1 is 75.

8 0

4 years ago

Carl wrote three numbers beetween 0.48 and 0.49, what numbers could carl have written

Alika [10]

Answer:

0.481, 0.487653287..,. and 0.48953

Step-by-step explanation:

There is no way I could know what numbers Carl has writen because there is an uncountably infinite number of numbers Carl could have written. But if I had to guess it would be 0.481, 0.487653287... and 0.48953

8 0

3 years ago

I need the answer and how to do it

irga5000 [103]

You turn 1/3 into 2/6. Because you need the bottom number to match. 3x2=6 then you do the same to the top. 1x2=2. So your answer would be 4/6 but reduced it would be 2/3

3 0

3 years ago

A manager at a local manufacturing company has been monitoring the output of one of the machines used to manufacture chromium sh

denpristay [2]

Answer:

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Normally distributed with a mean of 118 centimeters and a standard deviation of 8 centimeters.

This means that $\mu = 118, \sigma = 8$

Sample of 16 shells

This means that $n = 16, s = \frac{8}{\sqrt{16}} = 2$

What is the probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly?"

This is the pvalue of Z when X = 120 subtracted by the pvalue of Z when X = 116.

X = 120

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{120 - 118}{2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.841

X = 116

$Z = \frac{X - \mu}{s}$

$Z = \frac{116 - 118}{2}$

$Z = -1$

$Z = -1$ has a pvalue of 0.159

0.841 - 0.159 = 0.682

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

3 0

3 years ago