Answer:
64.65% probability of at least one injury commuting to work in the next 20 years
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
e = 2.71828 is the Euler number
is the mean in the given interval.
Each day:
Bikes to work with probability 0.4.
If he bikes to work, 0.1 injuries per year.
Walks to work with probability 0.6.
If he walks to work, 0.02 injuries per year.
20 years.
So
Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So
We want 
. Then
In which
64.65% probability of at least one injury commuting to work in the next 20 years
Answer:
The smaller number equals 12, the larger number equals 51.
Step-by-step explanation:
x + (3x + 15) = 63
Combine like terms.
4x + 15 = 63
Subtract 15 from both sides.
4x + (15 -15) = (63 - 15)
4x = 48
Divide both sides by 4.
4x/4 = 48/4
x = 12
Check answer.
12 + (3(12) + 15) = 63
12 + 36 + 15 = 63
63 = 63
-18 because a negative number times positive is negative.
~JZ
Answer:
96 sq. cm.
Step-by-step explanation:
A "kite" has 2 diagonals, which are the "width" and "height" of the kite.
Using diagonals, the area of a kite is given by 
Where
A is the area
p,q are the width and height, respectively
From the problem given, p is 12 and q is 16, so the area is:
Thus, the area is 96 sq. cm
Answer: $133.20
Step-by-step explanation: To simply find the sales tax all you have to do is:
Step 1 Multiply: 120 x .11 = 13.2
Step 2 Add: 120 + 13.2 = 132.2
So Robert actually has to pay $133.20
