Answer: 67.5
Step-by-step explanation:
Given: The mass of drug = 450 mg
The mass percent error = 15%
Which can be written as 0.15.
We use the formula :-
Similarly,
Hence, the mass error would be 67.5 mg.
I think its dilation and rotation. Hope it helps.
Hi!
Square roots where the things under the root are multiplied (for example ) can be split up into .
That's what I'm going to do in this case. I'm going to split into
Now, the cube root of 125 is 5, because 5 * 5 * 5 = 125, and that is the definition of a cube root. (What multiplied 3 times by itself is equal to what's under the root)
Now to look at what the cube root of is.
A cube root can be rewritten as , same as a square root can be rewritten to .
So if you take the cube root of x^12, you can change it to:
If you have a case like this, then you can multiply the two powers (in this case 12 and 1/3) to simplify it. 12 * 1/3 = 4, so you get x^4.
Now putting the two together, you get:
5 as your answer.
Hope this helped!
Answer:
Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10
Part 2: The research board can be chosen in 32760 ways
Step-by-step explanation:
Part 1:
The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:
So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:
- n by 40 participants
- k by 4 groups
- n1, n2, n3 and n4 by 10 participants of every subgroups
We get:
Part 2:
The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:
So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.
Therefore, replacing values of:
- n by 15 doctors
- k by 4 offices
We get: