Answer:
<em>99.93%</em>
Step-by-step explanation:
<u>Probability of Independent Events</u>
Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.
We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.
We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.
The probability that none of the systems detect the theft is

Thus, the probability that at least one of the systems detect the theft is

That means a 99.93%
Jenny is incorrect in her calculation.
For every time that Jenny's brother washed dishes, Jenny washed dishes 4 times. This tells that the the times they washed dishes occur in the ratio 4 :1. If Jenny's brother washed dishes 8 times, Jenny has to have washed dishes
times. The way Jenny's is doing the calculation implies that his brother washed dishes
times. He calculation yields a wrong result.
A. -0.3 equals (=) -0.3 so that's false
B. 7/8 is less than (>) 9/10
C. 1 2/3 is less than (<) 1.7
D. -1.2 is less (<) 0.521
Answer:
B.
Step-by-step explanation:
Green: y = 1.75x + 4
The slope is 1.75 which is the rate per mile.
Green charges $1.75 per mile.
White:
For 3 miles: $10.50
For 5 miles: $13.50
Difference: $13.50 - $10. 50 = $3.00
The $3.00 difference is for 2 miles.
Rate per mile: $3.00/2 = $1.50
White charges $1.50 per mile
Answer: B.
Answer:
32 60 68
Step-by-step explanation:
These set of numbers are pythagorean triplets
using the formula a2+b2 =c2 with these numbers would give you an accurate relationship in a right angled triangle