Answer:
4
Step-by-step explanation:
This is an <em>infinite geometric series</em>. This has a sum of 
Where
a is the first term, and
r is the common ratio (one term divided by the previous term)
Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.
<u />
<u>First term:</u>
<u>Second term:</u>
<em>Let's see the common ratio: 
</em>
<em />
<em>Thus we have a = 3 and r = 1/4</em><em>. Plugging into the formula of the infinite sum, we get:</em>
<em>
</em>
<em />
<em>So, </em><em>the answer is 4</em>
Answer:
c) 333.42
Step-by-step explanation:
1st sentence: 5*36.95= 184.75
2nd: 2*41.99=83.98 & 3*38.95= 116.85
3rd: 52*(1-.40)= 31.2
Money earned: 416.78
Payed to the market: 416.78(1-.2)
Sales: 333.42
Since ln(x) is the inverse of e^x and we want to find out when P(x)=1000, we will substitute P(x) by 1000 and then solve for x days.
1600e^0.3x = 1000
Divide 600 for both sides you will get:
5/3 = e^0.3x
Multiply ( ln ) for both sides and then divide by 0.3.
(ln 5/3)/(0.3) = x
x = 1.7
So there will be 1000 flies in approximately 1.7 days
Answer:
y=x+5
Step-by-step explanation:
Answer:
The frequency does not change with more trials
Step-by-step explanation:
To predict: the probability of the coin landing heads up
Solution:
Probability refers to the chances that an event will occur in an experiment. The value of probability lies between 0 and 1. 0 indicates impossible event and 1 indicates a sure event. The probability of an event can not be greater than 1.
When a coin is tossed, there are two possible outcomes: heads (H), tails (T).
In case of the probability of the coin landing heads up, the frequency does not change with more trials.
