Answer:
Probability of 100 managers being selected= 100C100*1100C800/1200C900
Probability of selecting just one manager = 1C100*1199C899/1200C900
Explanation:
Given 100 managers, 200 factory workers, 900 miscellaneous workers, and workers bring transferred 900
To find probability of 100 managers leaving given that probability = number of favorable outcomes/total number of outcomes
We use combination since order doesn't matter:
Combination formula= n!/r!(n-r)! Where n= total number of outcomes and r is number of outcome at one time and ! is factorial
Probability of 100 managers using nCr formula for each item = 100C100*1100C800/1200C900
Probability of 1 manager also applying nCr formula as above =1C100*1199C899/1200C900
Answer:
a = 180 - b - c
Step-by-step explanation:
given 180 = a + b + c or
a + b + c = 180 ( isolate a by subtracting b from both sides then c )
subtract b from both sides
a + c = 180 - b
subtract c from both sides
a = 180 - b - c
8) x represents the number of pounds of peanuts, and y represents the number of pounds of raisins
9)
Solve:
x+2y=9
-2y -2y
x=9-2y
2(9-2y) + 3y=14
18-4y+3y=14
-18 -18
-y=-4
y=4
x+2(4)=9
x+8=9
x=1
Answer:
14 cm
Step-by-step explanation:
Given:
A mug can hold 13.46 oz of coffee.
The radius of the mug is 3 cm.
Given that 1 
equals 0.034 oz.
Question asked:
What is the height of the mug to the nearest centimeter ?
Solution:
Given that 1 equals 0.034 oz.
By unitary method:
0.034 oz = 1
1 oz = 
13.46 oz = 
A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 . Now we can find the height of the mug by using volume of cylinder formula:
volume of cylinder = 
By cross multiplication:
By dividing both side by 198
Therefore, height of the mug to the nearest centimeter is 14 cm.
