A.
A tennis ball weighs about 57.6 grams. about how many apuntes would 12 tennis balls weigh?
1 answer:
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Answer:
There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.
Step-by-step explanation:
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
is the Euler number
is the mean in the given time interval.
In this problem, we have that:
A traffic engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. So in 2 minutes, 12 cars are expected to flow through the intersection.
If 75% of vehiclesare from state, what is the probability that during next 2 min exactly 5 cars passing an intersection are from state?
We want to know how many of these cars are from state. In 2 minutes, 0.75*12 = 9 cars from the state are expected to pass the intersection, so .
We want to find P(X = 2).
There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.
Answer:
- If the perimeter of a square measures 32 cm, each side measures 32/4= 8 cm, because all sides are equal.
- The diagonal that passes through the center of the square divides the square into two triangles. The triangles are formed by a <u>hypotenuse </u>(the diagonal, which is k in this case), <u>and two sides,</u> that measure 8 cm each, in this case.
- Because of Pythagoras' theorem, we know that the <u>lenght of the hypotenuse</u> (in this case the hypotenuse is k) equals the squared root of the sum of the squared sides, which in this case can be expressed as
.
- Then, k=11.31 cm.