<span>Probability of an event =(Number of favorable outcomes)/(Total number of outcomes)
Here, the number of favorable outcomes is the number of times 3 comes up.
The number of times 3 comes up = 67
Total number of outcomes is the number of times the cube is rolled.
Total number of times the cube is rolled = 450
Therefore, Probability of getting a 3 =67/450
Since 67 is a prime number, 67/450 is the final answer in simplest form.</span>
<span><span>a8a6)1/7/a2</span> </span>Final result :<span> a12
———
7
</span>Step by step solution :<span>Step 1 :</span> 1
Simplify —
7
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<span>Equation at the end of step 1 :</span><span> 1
((a8) • (a6)) • — ÷ a2
7
</span><span>Step 2 :</span><span> 1
Divide — by a2
7
</span><span>Equation at the end of step 2 :</span><span><span> 1
((a8) • (a6)) • ———
7a2
</span><span> Step 3 :</span></span>Dividing exponential expressions :
<span> 3.1 </span> <span> a14</span> divided by <span>a2 = a(14 - 2) = a12</span>
Final result :<span> a12
———
7
</span><span>
</span>
Answer:
$180000
Step-by-step explanation:
Let's c be the number of chair and d be the number of desks.
The constraint functions:
- Unit of wood available 4d + 3c <= 2000 or d <= 500 - 0.75c
- Number of chairs being at least twice of desks c >= 2d or d <= 0.5c
c >= 0
d >= 0
The objective function is to maximize the profit function
P (c,d) = 400d + 250c
We draw the 2 constraint functions (500 - 0.75c and 0.5c) on a c-d coordinates (witch c being the horizontal axis and d being the vertical axis) and find the intersection point 0.5c = 500 - 0.75c
1.25c = 500
c = 400 and d = 0.5c = 200 so P(400, 200) = $250*400 + $400*200 = $180,000
The 500 - 0.75c intersect with c-axis at d = 0 and c = 500 / 0.75 = 666 and P(666,0) = 666*250 = $166,500
So based on the available zones in the chart we can conclude that the maximum profit we can get is $180000
TO THE NEAREST what hundreds thousands what
