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
where are the numbers am not seeing them
Answer:
D) 40
Step-by-step explanation:
First, identify what you know:
1) Michael is directed to pick a number between 1 and 50
2) Michael picks a number that is less than 50
3) The number chosen, is a multiple of 5 and 8
A multiple is a number that can be divided by another number without a remainder. What number can be divided by 5 and 8 without having a remainder?
40/5 = 8
40/8 = 5
Michael chose 40!!
The m in y=mx+b stands for the slope of the line
Hope this helps!
Answer:
<u>Jeanette’s ticket was less than the original price by 12 percent</u>
Step-by-step explanation:
1. Let's calculate the 20% discount price Jeanette received:
75 - 0.2 * 75 = 75 - 15 = $ 60
The discounted price is $ 60
2. Let's calculate the 10% service fee to the discounted price:
60 + 0.1 * 60 = 60 + 6 = $ 66
The price including the service fee is $ 66
3. Finally, let's calculate the less percentage than the original price:
Let's use the Direct Rule of Three, this way:
Price Percentage
75 100
66 x
**************************
75x = 66 * 100
75x = 6,600
x = 6,600/75
x = 88
Less percentage = 100 - 88 = 12%
<u>Jeanette’s ticket was less than the original price by 12 percent</u>
