Answer:
Step-by-step explanation:
Given that a manufacturing firm just received a shipment of 20 assembly parts, of slightly varied sizes, from a vendor. The manager knows that there are only 15 parts in the shipment that would be suitable.
a) The probability that the first part is suitable.
= no of suitable/total = ![\frac{15}{20} =0.75](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B20%7D%20%3D0.75)
b) the probability that the second part is also suitable/first part was suitable
= Prob that first two parts suitable/Prob first part suitable
= ![\frac{\frac{15C2}{20C2} }{0.75} \\= 0.7368](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B15C2%7D%7B20C2%7D%20%7D%7B0.75%7D%20%5C%5C%3D%200.7368)
c) If the first part is suitable, find the probability that the second part is not suitable
= Prob I part suitable and second not suitable/Prob first part suitable
= ![\frac{\frac{15}{20}\frac{5}{19} }{0.75} \\= 0.2632](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B15%7D%7B20%7D%5Cfrac%7B5%7D%7B19%7D%20%20%7D%7B0.75%7D%20%5C%5C%3D%200.2632)
If the limit of f(x) as x approaches 8 is 3, can you conclude anything about f(8)? The answer is No. We cannot. See the explanation below.
<h3>What is the justification for the above position?</h3>
Again, 'No,' is the response to this question. The justification for this is that the value of a function does not depend on the function's limit at a given moment.
This is particularly clear when we consider a question with a gap. A rational function with a hole is an excellent example that will help you answer this question.
The limit of a function at a position where there is a hole in the function will exist, but the value of the function will not.
<h3>What is limit in Math?</h3>
A limit is the result that a function (or sequence) approaches when the input (or index) near some value in mathematics.
Limits are used to set continuity, derivatives, and integrals in calculus and mathematical analysis.
Learn more about limits:
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Answer:
8
Step-by-step explanation:
2^-3 = 1/8
1/8
2^1/2^4 = 2/16 = 1/8
Step-by-step explanation:
c the answer is c question is this your homework