Answer:
For this case the best alternative is 1 since we have a higher probability in order to get the 4 cards with the same color.
See explanation below.
Step-by-step explanation:
We want on this case to analyze which alternative is better in order to select 4 cards of the sample color.
We have 10 green , 10 blue, 10 purple and 10 red. So in total we have 50 cards.
Alternative 1 : select the four cards one at a time, with each card being returned to the deck and the deck being shuffled before you pick the next card.
Let's assume that we want four blue cards. We need to take in count that this experiment is with replacement. So each time the probability of select on blue card is:
And assuming independnet events for each extraction the probability of select the 4 with the same color blue is:
Alternative 2: you can randomly select four cards without the cards being returned to the deck
On this case we assume that the selection is without replacement and for the first extraction we have this:
For the next extraction since we select one we have this:
And so on:
And the final probability assuming independence would be:
For this case the best alternative is 1 since we have a higher probability in order to get the 4 cards with the same color.
Please be certain to use the symbol "^" to denote exponentiation. Your function y should be written as
y = x^3 + 3x2 - 2x + 4.
Principle: if the derivative of a function is negative on a certain x-interval, the function is decreasing on that interval. Thus, you must differentiate the given function: find dy/dx. Set this dy/dx = to 0 and solve the resulting equation for x. Set up intervals on the # line based upon your solutions.
For example, if x=-1 and x=2, then set up 3 intervals: (-infinity,-1), (-1,2), and (2, infinity). Looking at each interval separately, identify the interval or intervals on which the derivative dy/dx is negative.
This is a critically important skill in calculus and well worth the time and effort required to learn it.
14-6+5
13
13 is the required answer
Answer: 99, 100, 101. 102, 103
Step-by-step explanation:
Divide 505÷5 to get the middle integer, 101.
From that, subtract 2 to get the lowest integer, 99.
Add 101 + 2 for the greatest integer, 103. Fill in the other two integers and put them in consecutive order.