How do u calculate pythagoras therorem
2 answers:
The Pythagorean Theorem is basically a way to find the side of a right triangle from the other two sides.
Take a look at this triangle labeled, a, b, c. (attachment)
Side a and b are called the legs. The largest side, c is called the hypotenuse.
In order to find a side, we have to use the formula…
- a^2 + b^2 = c^2
Let’s do an example.
Consider the following triangle.
(attachment)
We want to find side c, which is actually the hypotenuse as it is unknown.
In order to find the missing side, we have to use the formula or the Pythagorean theorem. We substitute our values into a and b, while leaving the c-side as it is because that is what we are trying to find.
[Math Processing Error]
What does 13=c mean? It means that the missing side, c, from the triangle above is 13.
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Answer:
(a) The mean of the data is 275.
(b) The median of the data is 85.
(c) The mode of the data is 45.
(d) The measure of center that works best here will be median.
Step-by-step explanation:
We are given below the frequency of cremation burials found in 17 archaeological sites. Arranging those in <u>ascending order</u> we get;
28, 31, 32, 45, 45, 47, 59, 67, 85, 86, 143, 256, 272, 390, 424, 524, 2141.
(a) The formula for calculating mean for the above data is given by;
Mean, =
=
= = 275
So, the mean of the data is 275.
(b) Since, the number of observations (n) in our data is odd (i.e. n = 17) , so the formula for calculating median is given by;
Median =
=
=
= = 85
So, the median of the data is 85.
(c) <u>Mode</u> is that value in our data which appears maximum number of times in our data.
So, after observing our data we can see that only number 45 is appearing maximum number of times (2 times) and all other numbers are appearing only once.
So, the mode of the data is 45.
(d) The measure of center that works best here will be median because there are outliers in our data (means extreme values) and mean gets affected by the outliers.
So, the best measure would be median as it represents the middle most value of our data.
Answer: There will 486 bacteria in 31 hours.
Step-by-step explanation:
The population decay in bacteria is exponential.
Exponential function : , where A = initial population, b multiplication decay factor, t= time:
As per given:
Initial population:
After 36 hours, population =
Divide both sides by 120,000 we get
Taking natural log on both sides , we get
At x= 31,
Hence, there will 486 bacteria in 31 hours.