Answer:
The length of segment TR with T(-4,5) and R(2, -1) is 8.49
Step-by-step explanation:
We need to find the length of segment TR with T(-4,5) and R(2, -1)
The length of segment can be found using distance formula.
The distance formula is:
Putting values and finding length
We have:
We found Distance = 8.49
So, The length of segment TR with T(-4,5) and R(2, -1) is 8.49.
Answer:
a) 19/20
b) 1/20
Step-by-step explanation:
a) calculate the fraction of the attendants time will be spent servicing cars
l / L > 0 = Ц / [ Ц - λ ] = 20 --- ( 1 )
Ц (service ) = 15 hour
∴ λ ( arrival rate ) = 14.25
P = λ / Ц = 14.25 / 15 = 0.95 = 19/20
<u>b) Fraction of potential customers lost </u>
Ls = P / ( 1 - P )
where ; P = 19/20
Ls ( fraction of potential customers lost ) = 19/20 / ( 1 - 19/20 ) = 19
hence proportion of customers lost = 1 - 19/20 = 0.05 = 1/20
Answer:
Step-by-step explanation:
3a-2b=14 multiply by 3
9a - 6b = 42 (1)
4a+3b=13 multiply by 2
8a +6b = 26 (2)
sum up (1) and (2)
17a = 68
a =4
b=-1
The probability in all given conditions is 1/4.
According to the statement
Number of coin tossed = 3
Total outcomes = 8
Now, we have to find the probabilities on different conditions.
- Probability of a head on each of the last two tosses
Probability = A head on each of the last two tosses/ total outcomes
Probability = 2/8
Probability = 1/4.
- Probability of alternating tale and head
Probability = alternating tale and head / total outcomes
Probability = 2/8
Probability = 1/4.
- Probability of a no tails on each of the last two tosses
Probability = A No tails on each of the last two tosses/ total outcomes
Probability = 2/8
Probability = 1/4.
So, The probability in all given conditions is 1/4.
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It’s 12 because 300 / 25 Equals to 12 so 12x25 equals to 300!