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
The profit is maximized whenn 80 acres of pumpkin and 160 acres of squash is cultivated to make $80000.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of pumpkin acre and y represent the number of squash acre, hence:
x + y ≤ 240 (1)
Also:
20x + 10y ≤ 3200 (2)
The solution is at x = 80, y = 160
Maximum profit = 400x + 300y = 400(80) + 300(160) = $80000
The profit is maximized whenn 80 acres of pumpkin and 160 acres of squash is cultivated to make $80000.
Find out more on equation at: brainly.com/question/2972832
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Answer:
Step-by-step explanation:
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Answer:
An introduction of sets and its definition in mathematics. The collection of well-defined distinct objects is known as a set. ... The word well-defined refers to a specific property which makes it easy to identify whether the given object belongs to the set or not.
