Answer:
Step-by-step explanation:
This is permutation, since order matters. The formula for us is
₁₈P₅ = 
which simplifies to
₁₈P₅ = 
The factorial of 13 cancels out on the top and bottom leaving you with
₁₈P₅ = 18 × 17 × 16 × 15 × 14
which comes to 1,028,160 ways
Another way to look at it is: the first 5 people of 18 finish and the others you don't care about. Once the first place person is first, there are only 4 of the 18 left to finish in second place. Then there are only 3 left to finish in third place, etc. So if we use that reasoning, we don't even need to use the formula, we can just say
18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.
Answer:
Yes
Step-by-step explanation:
If they're perpendicular, that means that angle ECM = 90 degrees and angle ACE = 90 degrees. To figure out if this works, plug that into the two equations they give:
ECM = 3x + 15
becomes
90 = 3x + 15
75 = 3x
25 = x
ACE = 4x - 10
becomes
90 = 4x - 10
100 = 4x
25 = x
Since you get x = 25 for both, you know that they are perpendicular because they both measure 90 degrees
Answer:
8:00am I'm not sure, sorry if I get it wrong dude...
Answer:
B) 12.5%
Step-by-step explanation:
1. Find amount spent on clothes in July
$2800 * 8% = j
<em>j = $224</em>
2. Find amount spent of clothes in August
$224 + $126 = a
<em>a = $350</em>
3. Find the amount's percentage of the total
$350/$2800 = x
x = 0.125 = 12.5%
Answer:
okay, y=(1)/(2)*\sin (x-(\pi )/(4))
Step-by-step explanation:
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