suppose you plan to ride your bicycle from portland oregon to seattle washington and back to portland. the distance between port
1 answer:
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Answer:
Yes, the polygons are similar.
Step-by-step explanation:
A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,
Step 1:
Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.
Step 2:
To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.
And this is why the polygons are similar :)
Answer:
a)
b) We expect 68% of the values between : (6.6219, 6.8181)
We expect 95% of the values between : (6.5238, 6.9162)
We expect 99.7% of the values between : (6.4257, 7.0143)
c)
And we can use the z normal table or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the total sleep time of a population, and for this case we know the distribution for X is given by:
Where and
(a) What is the standard deviation for the average time in hours? (Round your answer to four decimal places.)
For this case the sample mean have the following distirbution
And the deviation is given by:
in minutes?= (Round your answer to three decimal places.)
(b) Use the 95 part of the 68–95–99.7 rule to describe the variability of this sample mean. (Round your answer to four decimal places.)
The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".
• The probability of obtain values within one deviation from the mean is 0.68
• The probability of obtain values within two deviation's from the mean is 0.95
• The probability of obtain values within three deviation's from the mean is 0.997
We expect 68% of the values between : (6.6219, 6.8181)
We expect 95% of the values between : (6.5238, 6.9162)
We expect 99.7% of the values between : (6.4257, 7.0143)
(c) What is the probability that your average will be below 6.9 hours? (Round your answer to four decimal places.)
For this case we can use the z score formula given by:
And we can find the z score for 6.9 and we got:
And we can use the z normal table or excel and we got: