Step-by-step explanation:
We are dealing with theoretical probability. This means that our probability of said outcome is
where x is the outcome we want, and y is the total number of outcomes possible.
28. There is 3 triangles out of 6 polygons so the probability is 1/2.
29.There is 1 Pentagon so the probability is 1/6.
30. This is a complement to question 28. A complement is the inverse of the problem. A complement and its original add to 1 so the probability of both getting a triangle is 1/2.
31. There is 4 non quadraletrial so the probability is 2/3.
32. There is 3 figures that has more sides than three so 1/2 is the probability.
33.There is only multi right angles figures so 1/2 is the probability.
34. There is 30 days in April so the probability it's the 29th is
35. There is 31 days in July and 15 days after the 16th. So the probability
is
Answer: 72
We can use ratios
117 inches / 13 inches = 9
The corn cast shadow is 9 times bigger than the example we are given.
9 * 8 = <u><em>72</em></u>
Answer:
x=12, DO=45O, G=45, DG=90
Step-by-step explanation:
Mid point means both lenghts are equal
4x-3=2x+21
2x=24
X=12
-----------------
1)4(12)-3=48-3=45
2)2(12)+21=24+21=45
-----------------------------
DO=45
OG=45
DG=90
Answer:
case 2 with two workers is the optimal decision.
Step-by-step explanation:
Case 1—One worker:A= 3/hour Poisson, ¡x =5/hour exponential The average number of machines in the system isL = - 3. = 4 = lJr machines' ix-A 5 - 3 2 2Downtime cost is $25 X 1.5 = $37.50 per hour; repair cost is $4.00 per hour; and total cost per hour for 1worker is $37.50 + $4.00
= $41.50.Downtime (1.5 X $25) = $37.50 Labor (1 worker X $4) = 4.00
$41.50
Case 2—Two workers: K = 3, pl= 7L= r= = 0.75 machine1 p. -A 7 - 3Downtime (0.75 X $25) = S J 8.75Labor (2 workers X S4.00) = 8.00S26.75Case III—Three workers:A= 3, p= 8L= ——r = 5- ^= § = 0.60 machinepi -A 8 - 3 5Downtime (0.60 X $25) = $15.00 Labor (3 workers X $4) = 12.00 $27.00
Comparing the costs for one, two, three workers, we see that case 2 with two workers is the optimal decision.
Answer:
4 bowlers
Step-by-step explanation:
There are 18 different hats, 6 are bowlers
Find the unit rate: 6/18 or 1/3
1 bowler out of 3 hats
4 bowlers out of 12 hats
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Hope this helps!!!</em></u></h3>
