Answer:
If a Poisson process applies, we have the probability that k potholes are find in t miles as:
The probability that no more that one pothole will appear in a section of one mile is P=0.1353.
The probability that no more that 4 potholes will occur in a given section of 5 miles is P=0.0293.
Step-by-step explanation:
We have the rate of potholes:
If a Poisson process applies, we have the probability that k potholes are find in t miles as:
The probability that no more that one pothole will appear in a section of one mile is P=0.1353:
The probability that no more that 4 potholes will occur in a given section of 5 miles is P=0.0293:
Answer:
x = -6
Step-by-step explanation:
<3<3<3<3<3<3<3
Actually, this is false. 6 and 4 both have <em>12 </em>in common because 6*2=12 and 4*3 is 12. So the least common denominator is really 12.
Answer:
Takeru bought 72 eggs and baked 18 soufflés .
Step-by-step explanation:
Let
e = number of eggs Takeru bought.
s = number of soufflés Takeru bought.
Then we know that Takeru bought 4 times as many eggs as he baked soufflés, therefore:
And since for every soufflés Takeru bakes he uses 3 eggs, and after backing he has 18 eggs left, we have:
<em>This says that from eggs there are 18 eggs left after Tkeru used three eggs for each soufflé.</em>
Now we have two equations:
We put the value of e from equation (1) into equation (2) and solve for s and get:
Thus
Number of eggs Takeru bought = 72.
Number of soufflés Takeru bought = 18.
Answer:
A
Step-by-step explanation:
Its a right angle, so you have to use trigonometry.
To find x , you use sin60° = opposite/hypotenuse
opposite = x and hypotenuse = 5 . So,
sin60°= x/ 5
5sin60° = x
put the value into your calculator you ' ll get:
To find y, cos60°= adjacent/hypotenuse
adjacent= y and hypotenuse = 5. So,
cos60°= y/5
5cos60°=y
Hope I was able to help. Good luck!<3