Answer:
27 5-member committees consist of members of the same gender
Step-by-step explanation:
The order in which the members are chosen to the group is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
All girls:
5 girls from a set of 6. So
All boys:
5 boys from a set of 7. So
Total:
Either all girls or all boys.
6 + 21 = 27
27 5-member committees consist of members of the same gender
Answer: 12 men would be needed to repair the same road in 3 1/3 hrs. Inverse proportion because usually in work,food and time its inversly proportional.
8 hours --> 5 men
1 hour --> 5*8 = 40 men
3 1/3 hours --> 40/ (3 1/3) men
--> 12 men
Answer:
Solution: x³ + 3x² + 3x + 1
Step-by-step explanation:
Take a look at the following Pascal's Triangle:
(x + y)⁰ = 1
(x + y)¹ = 1x + 1y
(x + y)² = 1x² + 2xy + 1y²
(x + y)³ = 1x³ + 3x²y + 3xy² + 1y³
(x + y)⁴ = 1x⁴ + 4x³ + 6x²y² + 4xy³ + 1y⁴
As you can see our binomial is '(x + 1)³.' Therefore we expand the expression with respect to the third row in the Pascal's Triangle, (x + y)³ = 1x³ + 3x²y + 3xy² + 1y³. The procedure would be as follows:
(x + 1)³ = 1x³ + 3(x)²1 + 3x(1)² + 1(1)³ = x³ + 3x² + 3x + 1
D) shifted 2 units left and 4 units up
Answer:
y = 5
Step-by-step explanation:
y = 0x + b
5 = 0(4) + b
5 = 0 + b
5 = b
