Answer:
First statement is correct.
Step-by-step explanation:
If we add or subtract a constant to each term in a set: Mean will increase or decrease by the same constant. Standard Deviation will not change.
If we increase or decrease each term in a set by the same percent (multiply all terms by the constant): Mean will increase or decrease by the same percent. Standard Deviation will increase or decrease by the same percent.
For example:
Standard Deviation of a set: {1,1,4} will be the same as that of {5,5,8} as second set is obtained by adding 4 to each term of the first set.
That's because Standard Deviation shows how much variation there is from the mean. And when adding or subtracting a constant to each term we are shifting the mean of the set by this constant (mean will increase or decrease by the same constant) but the variation from the mean remains the same as all terms are also shifted by the same constant.
So according to this rule, statement (1) is sufficient to get new Standard Deviation, it'll be 30% less than the old.. As for statement (2) it's clearly insufficient as knowing mean gives us no help in getting new Standard Deviation.
Your answer is 1 and 7/8.
Answer:
49.1 cm² (round to nearest 10)
Step-by-step explanation:
- use trigonometry to find the <em>h</em><em>e</em><em>i</em><em>g</em><em>h</em><em>t</em><em>(</em><em>h</em><em>)</em><em> </em>of the triangle
- substitute height and base(b) 12cm into the formula
<em>A</em><em> </em><em>=</em><em> </em><em>½</em><em> </em><em>×</em><em> </em><em>b</em><em> </em><em>×</em><em> </em><em>h</em><em> </em><em>.</em>
For the numeric part, you'll have to find the GCD of 15 and 25, which is 5. So, we can factor a 5 and we have
As for the literal part, you can factor 
because it's the power of s with the smallest denominator. So, we have
Answer is 10 and 170, complementary angles are 90°, while supplementary angles are 180 in total, if angle A is 80 then you subtract 90 by 80 and you get 10, so that is angle B, So then you are asked what is angle C. Which is part of the supplementary angle so you take the 10° that you got from B and then you subtract 180 by the 10, And thats how you get 170 and that's how you know that C is 170 (hope this explanation helps)
