PLEASE HELP, will give brainliest if you answer consider the function represented by the equation 16b = 4r - 12. write the equat
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Answer: On the 29th day
Step-by-step explanation:
According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.
On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.
The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are lilypads on the 30th, and
lilypads on the 29th. This can be deduced multiplying succesively by 2.
Answer:
(a) The number of different lock combinations is 216,000.
(b) The probability of getting the correct combination in the first try is .
Step-by-step explanation:
The lock has three-cylinder combinations with 60 numbers on each cylinder.
The procedure of the opening lock is to turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder.
The numbers can be repeated.
(a)
There are three cylinder combinations on the lock, each with 60 numbers.
It is provided that repetitions are allowed.
Then each cylinder can take any of the 60 numbers.
So there are 60 options for the first cylinder.
There are 60 options for the second cylinder.
And there are 60 options for the third cylinder.
So the total number of possible combinations is:
Total number of combinations = 60 × 60 × 60 = 216000.
Thus, the number of different lock combinations is 216,000.
(b)
The events of getting a correct combinations of the three-cylinder combination lock implies that all the three cylinder are set at the correct numbers.
Each cylinder has 60 numbers.
This implies that there are 60 possible ways to get a correct number for the first cylinder.
The probability of getting the correct number for the first cylinder is:
P (Number on 1st cylinder is correct) = .
Similarly for the second cylinder the probability of getting the correct number is:
P (Number on 2nd cylinder is correct) = .
And similarly for the third cylinder the probability of getting the correct number is:
P (Number on 3rd cylinder is correct) = .
So the probability of getting the correct combination in the first try is:
P (Correct combination in the 1st try) = .
Thus, the probability of getting the correct combination in the first try is .
Answer:
half of a number is 15
Step-by-step explanation:
An equation must contain an equality sign.
The third option is the only phrase that can be represented as an equation: