Answer:
The expected number of days until the prisoner reaches freedom is 2.8.
Step-by-step explanation:
Door 1: 0.3 probability of being selected. Leads to his cell after two days' travel.
Door 2: 0.5 probability of being selected. Leads to his cell after four days' travel.
Door 3: 0.2 probability of being selected. Leads to his cell after one day of travel.
What is the expected number of days until the prisoner reaches freedom?
We multiply the probability of each door being used by the time that it leads to the cell. So
E = 0.3*2 + 0.5*4 + 0.2*1 = 2.8
The expected number of days until the prisoner reaches freedom is 2.8.
Answer:
2b < 56
n = b - 2
b = n + 2
n < 27
b < 28
No, because the difference between Brittany and Nate's age is 2years
Step-by-step explanation:
A.)
Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death
Let Brittany's age = b
Twice Brittany's age = 2 × b = 2b
Lincoln's age = 56
2b < 56
B.)
Nate's age = n
Nate is 2 years younger than brittany who is aged 'b'
n = b - 2
C.) b = n + 2
D.)
If 2b < 56 and b = n + 2
2(n + 2) < 56
2n + 2 < 56
2n < 56 - 2
2n < 54 ; n < 27
2b < 56
b < 56/2
b < 28
No, because the difference between Brittany and Nate's age is 2years
Answer:
He is bisecting the angle BAC.
Step-by-step explanation:
First he puts the compass point at point A and draws 2 small arcs at D and E. Then he places the compass point at D and then at E to form the 2 arcs that cross between the 2 line segments AB and AC.
The bisector is the line he can draw between A and the crossed arcs.
First off, actually including the diagram is required if you intend on getting an answer. Thankfully, someone else has posed this question on another site and actually included the diagram. I will first describe the diagram, and then solve the problem.
And the good news is ....
The triangle in the diagram is impossible.
The diagram I found has Josh, Devon, and Marco standing creating an isosceles triangle with Josh and Devon forming the base. And with the given measurements, the illustrated triangle is impossible since in order for form an isosceles triangle with a base of 16 feet (the distance between Josh and Devon), each leg of the triangle would have to be at least 8 feet long and the specified 5 1/3 feet is way too short. So the actual triangle created by Josh, Devon, and Marco can't be an isosceles triangle. But the triangle created by Marco and points A and B has to be an isosceles triangle since the distance from Marco to both points A and B is 4 feet. Therefore we can prove that the two triangles are NOT similar. And therefore using the constant ratio between similar sides of the triangles can not apply.
