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:
idk but here's some steps
Step-by-step explanation:
1. Multiply the numbers
2. Multiply the numbers again
3. Combine multiplied terms into a single fraction
4. Distribute
5. Combine multiplied terms into a single fraction
6. Multiply the numbers
7. Eliminate redundant parentheses
8. Subtract the numbers
Solution:
4t - 23/5 + 4t/3
This is for answer A
Hoped this helped! :D
1.5x will be the very answer
Hello there! I can help you! So what we are looking for is the value of x. To find the value of x, we can write and solve an equation. Set it up like this:
4x + 28 = 180
This is because the sum of the angles for a triangle is 180°. We combine the like terms to get 4x and subtract 6 from 34 to get 28. First off, let's subtract 28 from both sides. 28 - 28 cancel out. 180 - 28 is 152. That simplifies into 4x = 152. Now, divide each side by 4 to isolate the x. 4x/4 cancels out. 152/4 is 38. There's a possible value of x. Let's plug the value in and see if it works. 38 * 2 is 76. 76 - 6 is 70. 38 + 34 is 72. 70 + 72 is 142 and 142 + 38 is 180. 180 = 180. There. x = 38. Here are the answers for the angle measurements:
(x + 34) = 72°
(2x - 6) = 70°
x° = 38°
