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:
$69
Step-by-step explanation:
Given the amount of money each girl spent based on the number of hours they were shopping modeled by the function p(x) = 3x4 + 2x3 − 4x2 + 21
To get how much they spend together if each go shopping for 2hours, we will substitute x = 2 into the given function as shown:
p(2) = 3(2)⁴ + 2(2)³ − 4(2)² + 21
p(2) = 3(16) + 2(8) − 4(4) + 21
p(2) = 48 + 16 − 16 + 21
p(2) = 48+21
p(2) = 69
Therefore they spend $69 together
Question
6v²+ 4v² please solve this equation
Answer:
<h2>
10v²</h2>
Step-by-step explanation:
6v²+ 4v² =
(6 + 4)v² =
10v²
Point slope form- y-4=(x+2)
Slope intercept- y=x+6
