Hello from MrBillDoesMath!
Answer:
The protein/calories ratios are equivalent
Discussion:
For the first column
Protein/calories = 24/96 = 1/4
For the second column
Protein/calories = 28/112 = 1/4
So the protein/calories ratios are equivalent
Thank you,
MrB
Answer:
y = -4
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : y+4 = 0
Subtract 4 from both sides of the equation :
y = -4
One solution was found :
y = -4
Processing ends successfully
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Answer:
Equal to each other
Step-by-step explanation:
I hope that helped!
An inequality: a number sentence with ≤, ≥, <, >, = or <span>≠
</span>≤ means: <span>"less than </span>or equal to<span>"
</span>≥ means: <span>"greater than </span>or equal to<span>"
</span>< means: "less than"
> means: "greater than"
≠ means: "not equal to"
= means: "<span>equals"</span>
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:
