Answer:
1. P(X=0)=0.135
2. P(T>1)=0.271
Step-by-step explanation:
1. Let X be the number of accidents in the next year. Find the distribution of X and calculate P(X=0).
The rigth distribution to describe this type of event as number of accidents per unit of time is the Poisson distribution.
In this case k=0 accidents, parameter λ=2 events/year and t=1 year:
2. Let T be the amount of time until the next accident. Find the distribution of T and calculate P(T>1).
In this case, the time between events can be best described by an exponential distribution:
In this case parameter λ=2 events/year and t=1 year:
A coordinate rule is like were the the shape is I think
Answer:
7 packets of grass seed
Step-by-step explanation:
First, find the area of the circular lawn using the formula, A = r²
If the diameter is 20 meters, the radius is 10 meters.
Plug in 10 as the radius and solve for the area:
A = r²
A = (10²)
A = 100
So, the area of the lawn is 100 m² or approximately 314.16 m²
Divide this by 50 to find how many packets of grass seed are needed:
314.16/50
= 6.28
Round this up to 7, since we need to have a whole number answer.
So, 7 packets of grass seed have to be bought.
Answer:
x=2 x=-2
Step-by-step explanation:
x² + 2x - 4 = 2x
Subtract 2x from each side
x² + 2x-2x - 4 = 2x-2x
x^2 -4 = 0
Factor
We know this is the difference of squares
(x-2)(x+2) =0
Using the zero product property
x-2 =0 x+2 =0
x=2 x=-2