Answer:
The probability that the instrument does not fail in an 8-hour shift is
The probability of at least 1 failure in a 24-hour day is
Step-by-step explanation:
The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:
Let X be the number of failures of a testing instrument.
We know that the mean failures per hour.
(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:
For an 8-hour shift, the mean is
(b) To find the probability of at least 1 failure in a 24-hour day, you need to:
For a 24-hour day, the mean is
Answer:
<h3>Part A:</h3>
Ordered Pairs: (1,1) (2,2) (3,4) (4,8) (5,16) (6,32)
To find out what the next ordered pair is, you need to double the previous one. for example, double of 1 mm is 2mm and then the next will be 4mm, then 8mm, and so on.
<h3>Part B:</h3>
Yes, this relation is a function because for each input, number of folds, there is only one possible output, the thickness of the paper.
By the way, you know that realistically, you can only fold a peice of paper 7 times:)
Answer:
r = 28 - p
p r
10 18
12 16
14 14
16 12
Step-by-step explanation:
We have the highest number of points Sidney has scored in a basketball game is 28.
We have to "r" the number of points that he needs to score and "p" are the points that he has already scored and the sum of these would be 28, that is, the total record.
So the equation would be
p + r = 28
we solve for "r" and we are left with:
r = 28 - p
Now, to fill the table it is missing when p = 14 and when p = 16
r = 28 - 14 = 14
r = 28 - 16 = 12
Therefore the complete table would be:
p r
10 18
12 16
14 14
16 12
Answer :- Statement (B) ,C'D' ll AB
Given AB is parallel to CD. CD rotated.
Consider a transversal line <em>l </em>intersecting AB and CD at angle x.
therefore By slope formula,
slope of AB and CD = m =tanx
Now after rotation of CD become C'D'
therefore, slope of C'D' = =tanx=m
Hence C'D' ll AB.