Answer:
Step-by-step explanation:
For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.
Step-by-step explanation:
The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature
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:
(5,6)
Step-by-step explanation:
-6x+6y=6
-6x + 3y =-12
Multiply the first equation by -1
6x-6y=-6
Add this to the second equation
6x-6y=-6
-6x + 3y =-12
---------------------
-3y = -18
Divide each side by -3
-3y/-3 = -18/-3
y =6
Now we need to find x
6x - 6y = -6
6x -6(6) = -6
6x -36 = -6
Add 36 to each side
6x-36+36 = -6+36
6x = 30
Divide each side by 6
6x/6 = 30/6
x =5
Answer:
54 degrees.
Step-by-step explanation:
So a fun fact is that the exterior angle is equal to the sum of the opposite two interior angles (at least within triangles).
Given this, set these values equal to each other to get the value of a.
d = a + b
2a = (a+10)+44
2a = a + 54
a = 54
The measure of the exterior angle is 54 degrees.
