<span>5c + cd
=</span><span>5(1/5) + (1/5)(15)
= 1 + 3
= 4</span>
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system
Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999
The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
Answer:

Step-by-step explanation:

By using logarithms it becomes easier to solve this question because of the properties they have
From the property of logarithms

Take logarithms on both sides





The number of words james can type in 6 minutes at the same rate is 360 words
Given:
Number of minutes to type 150 words = 2.5 minutes
let
number of words James can type in 6 minutes = x
Equate the ratio of the number of words to number of minutes
150 : 2.5 = x : 6
150/2.5 = x/6
cross product
150 × 6 = 2.5 × x
900 = 2.5x
x = 900/2.5
x = 360 words
Therefore, the number of words james can type in 6 minutes is 360 words
Learn more about ratio:
brainly.com/question/16981404
Answer:
The missing factor is (9s+1)
Step-by-step explanation:
The missing factor is (9s+1) because of the following
(9s^2 + s) + (18s+2)
If we factor out s from 9s^2+s, we get s(9s+1).
If we factor out 2 from 18s+2, we get 2(9s+1)
putting these together, we get s(9s+1) + 2(9s+1). Factoring out the common term of 9s+1, we get (9s+1)(s+2). therefore, the missing factor is 9s+1