Answer
27 days
Step-by-step explanation:
father= 45 days
oldest son + father=27 days
youngest + father= 36 days
45-27=18
45-36=9
18+9=27
so it would take 27 days for both sons to complete the house
18 days=oldest son
9 days =youngest son
Using a confidence interval of proportions, it is found that the correct statement is given by:
D a confidence interval for estimating the cricket's true probability of landing on its feet is more narrow after the final 10 jumps than it was before the final 10 jumps.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
- is the sample proportion.
The margin of error is given by:
The margin of error is inversely proportional to the square root of the sample size, hence, the higher the sample size, the narrower the interval is, hence option D is correct.
More can be learned about a confidence interval of proportions at brainly.com/question/25890103
Answer:
1) True 2) False
Step-by-step explanation:
1) Given
To verify that the above equality is true or false:
Now find
Expanding the summation we get
Now find
Expanding the summation we get
Comparing the two series we get,
so the given equality is true.
2) Given
Verify the above equality is true or false
Now find
Expanding the summation we get
now find
Expanding the summation we get
Comparing the series we get that the given equality is false.
ie,
Answer:
- <u>They can catch up with the bus at 10:40 am.</u>
Explanation:
1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.
2. The average speed at whic Liana's mother drive: 60 miles/hour
3. Thus, the distance they will have driven will be:
- distance = average speed × time = 60t
4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.
Thus, the time wil have driven when Liana and her mom have driven t hours minutes will be: t + 40 min / 60 min/ hour = t + 2/3
5. The average speed of teh bus is 45 miles / hour
6. The distance the bus will have driven will be:
- distance = average speed × time = 45(t + 2/3)
7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
I just had this question on a test and the answer is 95.05