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:
<u>Bill must give Jack a handicap of 165 yards to finish the race at the same time. The correct answer is A. 165 yards.</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Bill can run 440 yards in 55 seconds
Bill speed = 8 yards per second (440/55)
Jack can run 440 yards in 88 seconds
Jack speed = 5 yards per second (440/88)
2. How great a handicap must Bill give Jack for the boys to finish the race at the same time?
The total duration of the race will be 55 seconds
Using Rule of Three Simple, we have that:
Jack will run 55 * 5
Jack will run 275 yards in 55 seconds
Bill must give Jack a handicap of 440 - 275 yards
Bill must give Jack a handicap of 165 yards to finish the race at the same time. The correct answer is A. 165 yards.
Answer:
C.
Step-by-step explanation:
you can automatically tell that it is C because the angles are a right angle together. A right angle is 90 degrees, which means that the angles together would be x=(4z-85)=90
Answer:
y=30, x=10
Step-by-step explanation:
