Answer:
?=40/3
Step-by-step explanation:
X=12, because when you use the constant of proportionality, which in this case is three, that’s what you multiply by 4 in the numerator side to equal 12.
Answer:
The answer will be ( x - 4 ) ( x^2 + 4 )
Answer:
14.78% probability that a sample of 10 covers will contain exactly 2 defectives
Step-by-step explanation:
For each cover, there are only two possible outcomes. Either it is defective, or it not. The probability of a cover being defective is independent from other covers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
If the fraction of defective covers produced on the USB Mouse Factory production line is known to be 8%, what is the probability that a sample of 10 covers will contain exactly 2 defectives?
This is when . So
14.78% probability that a sample of 10 covers will contain exactly 2 defectives
A nickel has a diameter of 21.21 mm and a thickness of 1.95 mm
<span>2.121 cm diameter </span>
<span>0.195 cm thickness </span>
<span>Think of a nickel as a cylinder </span>
<span>r = 2.121/2 = 1.0605 cm </span>
<span>V = pi * r^2 * h </span>
<span>V = pi * 1.0605^2 * 0.195 cubic cm </span>
<span>2 liters = 2000 cubic cm </span>
<span>2000 / (1.0605^2 * 0.195 * pi) => </span>
<span>2902.84713216 </span>
<span>Your upper limit is 2902, but it could be as little as 0 (for instance if the 2L bottle was only 1 cm wide, then you wouldn't be able to fit a single nickel in there) </span>
<span>I'd say that you could expect about a 70% packing efficiency, just off the top of my head </span>
<span>2900 * 0.7 => </span>
<span>290 * 7 => </span>
<span>300 * 7 - 10 * 7 => </span>
<span>2100 - 70 => </span>
<span>2030 </span>
<span>I'd expect around 2000 nickels would fill up the bottle quite nicely, supposing you can get the nickels into it.</span>