The tub holds 43 gallons.....it contains 18.....(43 - 18) = 25....so it needs 25 gallons.....after 5 minutes, the tub is full.....so it fills at a rate of 25/5 = 5 gallons per minute
y = 5x + 18....where y is the total gallons and x is the number of minutes
but we need it in standard form....
y = 5x + 18
-5x + y = 18
5x - y = -18 <== standard form
Knowing the amount doubles every 30 days, we'll have to find how many times it'lll double in the 210-day time frame:
210 / 30 = 7
It doubles 7 times. If we were to write a rough, not worked on expresion representing that, knowing the starting population was of 20, we would write:
(((((((20 * 2) * 2) * 2) * 2) * 2) * 2) * 2) = 2560 rabbits
Hope it helped,
Happy homework/ study exam!
Greater then
if you simply 31/12 its 2 7/12<span />
Using the binomial distribution, it is found that there is a 0.03125 = 3.125% probability that all the nickels will land with heads facing up.
For each coin, there are only two possible outcomes, either it lands on heads, or it lands on tails. The landing of a coin is independent of other coins, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 5 nickels, hence .
- They are equally as likely to land on heads or tails, hence
The probability that all the nickels will land with heads facing up is P(X = 5), hence:
0.03125 = 3.125% probability that all the nickels will land with heads facing up.
A similar problem is given at brainly.com/question/24863377
I think its y=2x+4 if not im sorry