Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)
Step-by-step explanation:
P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)
= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)
therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))
= 1 / (1 + p³)
Also P( second coin given 3 heads) = p³ /(1 + p³)
therefore P(4th toss in heads given first 3 are heads) will be;
= P(first and 4th toss heads) + P(second and 4th toss heads)
=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p
= (1 + p⁴) / (1 + p³)
Therefore Option E is the correct answer
Answer:
1 year: $2060
2 years: $2121.80
3 years: $2185.45
Step-by-step explanation:
Compound interest formula is A = P(1 + 
) where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period, and t is the number of time periods elapsed. In our case, P would be equal to 2000 dollars, r would be equal to 0.03, for 3 percent, and our n value would just be one, so the final equation is:
First, let's evaluate t for 1, as in one year.
= 2000 x 1.03 = 2060
Two years: 2000 * 1.03 squared = 2121.80
Three years: 2000 * 1.03^3 = 2185.45!
Hope this helps!
Alright so the answer would be letter B, because
win-to-loss
49 to 21 (You can determine her losses by subtracted the number of wins from her total number of games played)
Now you must simplify your answer
7 is the greatest common factor (GCF) of both 49 and 21
Now divide both 49 and 21 by 7 to get
7 to 3
1/3 of an hour is 20 minutes. If show 10 laps in 5 minutes, just divide 20 by 5, which gives you 4, then multiply 4 times 10. She can swim 40 laps in 1/3 of an hour. Hope that helps. Mark Brainliest if it does. Thank you!
Answer:
128
Step-by-step explanation:
