What is the value of 3 minus (negative 2)? A number line going from negative 5 to positive 5. –5 –1 1 5What is the product? (6)
1 answer:
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Answer:
(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.
(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.
Step-by-step explanation:
<u>The complete question is:</u> General Hospital has noted that they admit an average of 8 patients per hour.
(a) What is the probability that during the next hour less than 3 patients will be admitted?
(b) What is the probability that during the next two hours exactly 8 patients will be admitted?
The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;
Here X = Number of patients admitted in the hospital
= arrival rate of patients per hour = 9 patients
So, X ~ Poisson( = 9)
(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
=
=
= <u>0.00623</u>
(b) Here, = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.
So, X ~ Poisson( = 18)
Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)
P(X = 8) =
= <u>0.00416</u>
Answer:
A.) NM= x
C.) LM = x√2
E.) tan (45°) = 1
Step-by-step explanation:
If the legs are both x, then the hypotenuse is equal to
Therefore, LM= is correct and MN= x
Answer:
The ships are 66 meters apart.
Step-by-step explanation:
For the sake of convenience, let us label ships A and B
As shown in the figure, the distances to the ships from right triangles.
The distance to the ship A is and it is given by
And the distance to the ship B is and is given by
Therefore, the distance between the ships A and B is
In other words, the ships are 66 meters apart.
