What are the solutions to the equation StartFraction w Over 2 w minus 3 EndFraction = StartFraction 4 Over w EndFraction? w = –6
2 answers:
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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:
Answer:
option D
Step-by-step explanation:
x-2y≥-12
-2y≥-x-12
y≤0.5x+6
has to be a solid line since y is less than or equal to 0.5x+6
so, options 1 and 3 are not applicable
also, in y≤0.5x+6 , y is less than or equal to this line, thus it only exists on the line and to the right of it (below it)
so, option 2 is wrong also, leaving us with option 4 or D, which in this case is the answer
I attached a file of this inequality's graph to prove my answer once more
Answer:
the probability that the average diameter of those sand dollars is more than 4.73 centimeters is 0.5910
Step-by-step explanation:
Given information:
mean, x = 5
standard deviation, σ = 0.9
number of sample, n = 16
now we calculate the probability that the average diameter of those sand dollars is more than 4.73 centimeters.
P(x>4.73) = P (z > (4.73 - x) / (σ )
= P (z > (4.73 - 4) / (0.9 )
= P (z > 0.203)
= 0.5910