Answer:
45
Step-by-step explanation:
The different pairs of individual can be computed using rule of combination.
The combination is denotes as nCr.
nCr=n!/(r!(n-r)!)
In the given problem n=total candidates=10 and r= Selected candidates=2.
10C2=10!/(2!(10-2)!)
10C2=10*9*8!/(2!8!)
10C2=90/2
10C2=45
So, 45 different pairs of individuals can be selected.
Answer:
20 people. Because 5 already came to the party. 1/3 of his relatives came is 5, so multiply 5 by 3, then add 5. You get 20 people.
Step-by-step explanation:
Answer:
a+2b-d=1, 3, 5, 7
Step-by-step explanation:
(ax^2+bx+3)(x+d)
ax^3+bx^2+3x+adx^2+bdx+3d
ax^3+bx^2+adx^2+3x+bdx+3d=x^3+6x^2+11x+12
ax^3=x^3, a=1
bx^2+adx^2=6x^2
x^2(b+ad)=6x^2
b+ad=6
b+(1)d=6
b+d=6
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3x+bdx=11x
x(3+bd)=11x
3+bd=11
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b=6-d
3+(6-d)d=11
3+6d-d^2=11
3-11+6d-d^2=0
-8+6d-d^2=0
d^2-6d+8=0
factor out,
(d-4)(d-2)=0
zero property,
d-4=0, d-2=0
d=0+4=4,
d=0+2=2
b=6-4=2,
b=6-2=4.
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a+2b-d=1+2(2)-2=1+4-2=5-2=3
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a+2(4)-4=1+8-4=9-4=5
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a+2(2)-4=1+4-4=5-4=1
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a+2(4)-2=1+8-2=9-2=7
Vertical angles are congruent, so their measures are equal.
Set the angle measures equal and solve for x.
2x + 2 = 3x - 52
-x = -54
x = 54
___________
| |
| 54 |
|__________|
The answer is inside a box.
