Answer:
The members of the cabinet can be appointed in 121,080,960 different ways.
Step-by-step explanation:
The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Permutations of 8 from a set of 14. So
The members of the cabinet can be appointed in 121,080,960 different ways.
Answer:
y = 2x + 1
Step-by-step explanation:
1. Find the slope; (change in y values)/(change in x values)
Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2
2. Find the y-intercept (b) using the slope intercept formula: y = mx + b
m = 2 and using point (1, 3) , solve for "b"
y = mx + b
3 = 2(1) + b
3 = 2 + b
1 = b
3. Write the linear equation: y = 2x + 1
4c+5.6d=1360
Let
Children (c)=x
Adults (d)=284-x
4x+5.6 (284-x)=1360
Solve for x
4x+1590.4-5.6x=1360
4x-5.6x=1360-1590.4
-1.6x=-230.4
X=230.4÷1.6
X=144 children
284−144=140 adults
Answer:
B is the correct answer
Step-by-step explanation: When you add 18+54+24=96 divide 96 by 3 and its 32!