Step-by-step explanation:
Blue is for physics........
The exponential distribution is:

where

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.

where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:

Sub into conditional probability formula:

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
Answer:
The value of given expression = - 5mx
Step-by-step explanation:
Given expression;
10xm - 8mx + 6xm - 13xm
Find:
The value of given expression
Computation:
⇒ 10xm - 8mx + 6xm - 13xm
Step 1 ;
Rearrange expression;
⇒ 10mx - 8mx + 6mx - 13mx
Step 2 ;
Adding all terms
⇒ 10mx + 6mx - 8mx - 13mx
Step 3 :
Subtract term
⇒ 16mx - 21mx
⇒ -5mx
The value of given expression = - 5mx
The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.
Answer:
Length of B is 7.4833
Step-by-step explanation:
The vector sum of A and B vectors in 2D is

And its magnitude is:

Where




Using the properties of the sum of two angles in the sin and cosine:


Sustituying in the magnitud of the sum




Solving for B


Sustituying the value of the magnitud of A

