<span>In order to find the standard deviation, we first have to calculate the mean (average) of the numbers. To get this we add all the numbers together and then divide by 12 since there are 12 numbers. The mean = 782. Next, we take each number and subtract the mean, taking the result and squaring it. For this we get: 6724, 2209, 10404, 11664, 729, 1764, 12544, 9, 529, 71824, 1444, 1024. Now we sum all of these up and take the average by dividing the sum by 12. Doing this we get 120868/12=10072. The last step is the take the square root of that number to get the standard deviation. The final result is 100.</span>
The trick to changing percent to decimal and decimal to present is simple
From percent to decimal : move the decimal place two places to the left and remove percent sign.
From decimal to percent: Move the decimal place two places to the right and put a percent sign.
Sooooo....
When you move the decimal - 79.2% - to the left two time - .792 - the answer left would be
A. 0.792
Answer:
6. D
7. B
Step-by-step explanation:
Nancy takes a test that has two sections: essay and true/false. She scores 56 points on the essay. Each true/false question is 4 points. So x number of true/false is worth 4 points each or 4x.
Together her score will be 56 + 4x.
She wants to score more than 80 or > 80.
So her test can be represented as the inequality 56 + 4x > 80.
This is solved using inverse operations.
56 + 4x > 80
4x > 24
x > 6
This should be graphed as an open circle at 6 on the umber line pointing and shaded to the the right for numbers greater than 6.
Here's some guidelines to help you:
For 1, 4, 5, and 6, they are 30-60-90 triangles. What's that you may ask? Well, it means that the sides have a predetermined length when one side is given. In #1 for example, you have a side of 11sqrt3, this means that "n" is 11 because in a 30-60-90 triangle, the longer side is the sqrt3 times the length of the shorter side. So to get the shorter side, we divide by sqrt3 to get 11. "m", or the hypotenuse, can be determined by taking twice the length of the shorter side. Since we figured out earlier that the shorter side is 11, 11 times 2 is 22. So the answer for #1 is n=11, m=22.
For 2 and 3, they are 45-45-90 triangles, triangles where the two lengths are the same and the hypotenuse is either leg length times sqrt2. In problem #2 for example, "y" must be 17 because one leg length is 17. "x", or the hypotenuse, is equal to 17sqrt(2) because 17 times sqrt(2).
You can apply all these rules to the other 4 problems I didn't explain.
Hope this long explanation clears your doubts!
'Pi' ( π ) is the ratio of the circumference of a circle to its diameter.
The exact value of 'pi' can't be completely written with numbers, so whenever
we use 'pi', we always use an approximation.
