Slope = (9/2 + 1) / (-2 + 5/3)
11/2
= ----------
-1/3
= 11/2 (-3/1)
= -33/2
or
= -16.5
a >= 200
5 a + 2.5 c <=1500
Step-by-step explanation:
Step 1 :
Let c be the number of child t shirt and a be the number of adult t-shirts
Given the cost of adult t-shirt is $5 and the cost of child t-shirt is $2.50
Step 2 :
Inequality 1
Given that Jerome needs at least 200 adult t-shirts .
So the minimum quantity of adult t-shirts should be 200
Hence we have a >= 200
Step 3 :
Inequality 2
Given that the total cost should be less that $1500
We have,
5 a + 2.5 c <=1500
<span>the blank boxes are for you to plug in x=20 to prove its right.
so it would be
3(20)-4=2(20+8)
60-4=2(28)
56=56
so its true!</span>
A) 5 to be chosen among a Total : 10 Men + 8 Women
¹⁸C₅ = (18!)/(5!)(13!) = 8,568 groups of five
b) A must to have men and women. If so we have to deduct all groups of 5 that are all men and all group of 5 that are all women
Groups of 5 with only men: ¹⁰C₅ = 252
Groups of 5 with only women: ⁸C₅ = 56
So number of committees of 5 men and women mixed =
8568 - 252 - 56 = 8,260 committees
c) 3 Women and 2 Men:
⁸C₃ x ¹⁰C₂ = 2,520 groups of 3 W and 2 M
d) More women than men, it means:
3 W + 2 M OR (we have found it in c) = 2,520)
4 W + 1 M OR ⁸C₄ x ¹⁰C₁ →→→→ = 700
5 W + 0 M OR ⁸C₅ x ¹⁰C₀ →→→→ = 56
Total where W>M = 3,276 groups of 5 where women are at least 3
