Answer:
a: 16807
b: 0.0000595
Step-by-step explanation:
(a): We have 7 possibilities of numbers, and we need to choose 5 numbers that can repeat. So, for each of the 5 numbers, we have 7 possibilities. To determine how many codes are possible, we just need to multiply the number of possibilities of each of the 5 numbers, so we have 7x7x7x7x7, or 7^5, which is 16807 possibilities.
(b): to put the correct code in the first try, we need to find the exact combination (just one combination) among these 16807 possibilities, so the probability is 1/16807, which is 0.0000595, or 0.00595%.
Answer:
P(x) = (x-1)² (x-3)
Step-by-step explanation:
P(x)=x³- 5x² + 7x-3 = x² (x-1) - 4x(x-1) + 3(x-1) = (x²-4x+3)(x-1)
P(x) = (x-1)(x-3)(x-1) = (x-1)² (x-3)
Step-by-step explanation:
Px^2+6x+1=x^2+x^2+Qx+1
P=2 and Q=6
Next, 3x^2-5-(x^2-6x+R/2)=2x^2+6x+1
2x^2-5-R/2+6x=x^2+6x+1
-5-R/2=6, R=-22
<span>1. independent
2. dependent
toss a dime and then toss a quarter
* Ask yourself, "Does the 1st event have any effect on the results of the 2nd event?" And in this case, the answer is no. No matter what result happened for the dime flip, it won't affect the quarter flip. So these events are independent.
pick a card from a deck of cards keep the card and pick another one
* Ask yourself the same question. The 1st card is one of any of the 52 cards in the deck, while the 2nd card is from the remaining 51 cards. So the 1st event does affect the 2nd event. Therefore they're dependent.</span>
Answer:
6x + 13 I very much belive
