Answer: 8
Step-by-step explanation:
Let the number be represented by x.
Two less than three times a number is the same as six more than twice the number. This will be:
(3 × x) - 2 = (2 × x) + 6
3x - 2 = 2x + 6
Collect like terms.
3x - 2x = 6 + 2
x = 8.
The number is 8
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
Answer: The answer is still 50/50
Step-by-step explanation:
because there is 2 sides of a coin ( heads, and tails ) no matter how many times you flip it, the chances will forever stay at 50/50
Answer:
(1,2)
y=2
x=1
Step-by-step explanation:
x+y=3
3x+5y=13
solve the equation
x=3-y
3x+5y=13
substitute the value of x into an equation
3(3-y)+5y=13
distribute
9-3y+5y=13
add -3y to 5y
9+2y=13
subtract 9 from both sides
2y=4
divide both sides by 2
y=2
substitute the value of y into an equation
x=3-2
subtract 3 to 2
x=1
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(1,2)
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