<span>Using radian meansure
theta = (arc length)/radius
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arc length = radius*theta
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Your Problem:
120 degrees = 120(pi/180) = (2/3)pi radians
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circumference = 2pi*r
24 = 2pi*r
r = 12/pi
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arc length = (12/pi)(2/3)pi = 8 units
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Answer:
2<x<3
Step-by-step explanation:
4x-4<8 AND 9x+5>23
Solve the first inequality
4x-4<8
Add 4 to each side
4x-4+4 <8+4
4x<12
Divide by 4
4x/4 <12/4
x <3
Solve the second inequality
9x+5>23
Subtract 5 from each side
9x+5-5>23-5
9x >18
Divide by 9
9x/9>18/9
x>2
Put together
x<3 and x>2
2<x<3
Well, the answer to the question in your picture is $1200.
If x is the original price, and we took 23%, or 0.23 from that, we are left with 77%, or 0.77 of the full price.
So 0.77x = 924
x = 924/0.77
x = 1,200
1200 - 0.23(1200) = 924
924 = 0.77x
Answer:
0.0821
Step-by-step explanation:
If the arrival rate is 50 customers per hour (60 minutes), then the expected number of customers in 3 minutes is:
Assuming a Poisson distribution with 2.5 customers per 3 minutes, the probability that zero customers arrive for 3 minutes is:
The probability that the bank stays empty for three minutes is 0.0821.
The value of the digit 5 in this number is 50 because 5 is in the tenth place.