Answer:
0.189
Step-by-step explanation:
We are using combination to solve for this.
C(n,r) = nCr = n!/r! (n - r)!
We have 10 total students and 11 total faculty = 21 people
Step 1
Selecting 3 students out of 10 total students
= 10× 9× 8×7×6×5×4×3×2×1/ 3×2×1 × 7×6×5×4×3×2×1/
= 120
Step 2
Select 6 faculty out of 11 faculty
11C6 = 11!/6!(11 - 6)!
= 11!/6! × 5!
= 11×10× 9× 8×7×6×5×4×3×2×1/6×5×4×3×2×1 × 5×4×3×2×1/
= 462
Step 3
Selecting 9 people out of 21 people to form a committee
21C9 = 21!/9!(21 - 9)!
= 21!/9! × 12!
= 293,930
Step 4
The fourth and final step of having a committee of 9 people =
(120 × 462)/293,930
= 55440/293,930
= 0.1886163372
Rounded to 3 decimal places = 0.189
Therefore, the probability that you select 3 students and 6 faculty = 0.189
Answer:
The answer to your question is Width = 
Step-by-step explanation:
Data
Area = (x² - 4)/2 x in²
Length = (x + 2)² / 2 in
Width = ?
Process
1.- Write the formula of the area of a rectangle
Area = length x width
-Solve for width
Width = Area / length
2.- Substitute the values
Width = (x² - 4)/2 / (x + 2)² / 2
-Simplify
Width = (x² - 4) / (x + 2)²
-Factor both numerator and denominator
Width = (x - 2)(x + 2) / (x + 2)(x + 2)
- Simplify
Width = (x - 2) /(x + 2) or Width =
Answer:
-12 1/2 feet (12 1/2 feet below the surface).
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
<span>
We divide both sides by 2 to isolate x...
x > 23
There you go. Any number greater than 23 is a correct answer to your problem. Let's verify by substituting x for 24.
2(24) + 3 > 49
48 + 3 > 49
51 > 49 </span>
