Answer:
y=mx+b
Step-by-step explanation:
this is the equation of any line in slope intercept form.
<u>1</u>18.380 to the nearest hundred is <u>1</u>00
The 1 that I underlined represents the hundreds place of a number, and since the number in the tens place ex.) 2<u>1</u>2.31 is also a 1, then you round down to just 100.
ex.) round to the nearest hundred: 492.341 The answer to this would be 500, since the number in the tens place is a 9 so you round up to the next hundred.
Answer:
A) probability of failure in next 100 hours given that it has been tested for 500 hours without failure is 0.181
B) probability that exactly two have the metabolic defect is 0.03
Step-by-step explanation:
Part A)
Let X be a exponentially random variable with mean = μ = 500 hrs
For exponential distribution:

λ = 1/μ
λ = 0.002
We have to find the probability of failure in the next 100 hours given that assembly has been tested for 500 hours without a failure.
Using memory less property of exponential distribution:

using

<h3>Part B)</h3>
Chances of occurrence of metabolic defect = 5%
P(C) = .05
No. of randomly selected infants = n =6
We have to find the probability that exactly two have the metabolic defect
⇒x = 2
Using binomial probability density function:
P = ![P=\left[\begin{array}{ccc}n\\x\end{array}\right] p^{x} (1-p) ^{n-x}\\\\=\frac{n!}{x!(n-x)!} p^{x} (1-p) ^{n-x}\\=\frac{6!}{2!4!}(.05)^{2}(.95)^{4}\\= 0.03\\](https://tex.z-dn.net/?f=P%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dn%5C%5Cx%5Cend%7Barray%7D%5Cright%5D%20p%5E%7Bx%7D%20%281-p%29%20%5E%7Bn-x%7D%5C%5C%5C%5C%3D%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D%20p%5E%7Bx%7D%20%281-p%29%20%5E%7Bn-x%7D%5C%5C%3D%5Cfrac%7B6%21%7D%7B2%214%21%7D%28.05%29%5E%7B2%7D%28.95%29%5E%7B4%7D%5C%5C%3D%200.03%5C%5C)
probability that exactly two have the metabolic defect is 0.03
Answer:
Step-by-step explanation:
The day is beautiful, encountered traffic at some point while going out but eventually came out of it after some minutes. It was caused by some hoodlums trying to collect money from drivers.
Research
I took out time to search out some vital information, compiled it to make a single thought that is useful to explain the research topic
I did was what I intend doing today nothing was done out of place.
Answer:
1
Step-by-step explanation:
Come on man. Slope is easy. You got this.