Answer:
Step-by-step explanation:
Given that a parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of 3 per hour and at entrance II according to a Poisson distribution at an average of 2 per hour.
Assuming the number of cars arriving at the two parking lots are independent we have total number of cars arriving X is Poisson with parameter 3+2 = 5
X is Poisson with mean = 5
the probability that a total of 3 cars will arrive at the parking lot in a given hour
= P(X=3) = 0.1404
b) the probability that less than 3 cars will arrive at the parking lot in a given hour
= P(X<3)
= P(0)+P(1)+P(2)
= 0.1247
Answer:
c. Side-Angle-Side
Step-by-step explanation:
Two sides (AB and AC) and an included angle (<BAC) in triangle ∆ABC are congruent to two corresponding sides (AD and AC) and an included corresponding angle (<DAC) in ∆ADC.
Therefore, by the SAS Congruence Theorem, both triangles are congruent.
Answer:
355
Step-by-step explanation:
3
-5
=3*5³-5*2²
3*5³-5*2²=3*125-5*4
3*125-5*4=375-20
375-20=355
So a diameter is twice the radius
The formula is:
V = π(r^2)(h/3)
the half of 300 is 150, so the radius is 150
V = π(150^2)(150/3)
V = π(22500)(50)
V is about <span>3534291.74</span>
Answer:
<h2>
1,190cm²</h2>
Step-by-step explanation:
The Area of a triangle is expressed as 1/2 * base * height. If uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimetres and a height of 7 centimetres, area of the blanket will be expressed as shown;
Area of the blanget = 1/2 * 7 * 5
Area of a blanket = 35/2 = 17.5cm²
If she plans to cut out 68 triangles with these dimensions, the total area will be total number of triangles * area of one triangle i.e 68 * 17.5 = 1,190cm²
