The answer to the question is b
Ann, Emily, and Bob collect stickers. They have a total of 70 stickers in the ratio 2:3:5, respectively. How many stickers does
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Bonzo started with 2.1 dollars
Step-by-step explanation:
Assume that Bonzo has $x
1. Change $x to cents
2. Calculate the remaining money with him after each game
3. Equate the left money in the 3rd game by zero to find x
∵ $1 = 100 cents
∴ $x = 100 x cents
First game
∵ Bonzo has 100 x cents
∵ He paid 10¢ to get in
∴ The money left is (100 x - 10)
∵ He spent half the money he had left
- That mean the money left with him is the other have
∴ The money left with him = (100 x - 10) = (50 x - 5) cents
∵ He spent 10¢ to get out
∴ The money left after 1st game = (50 x - 5) - 10
∴ The money left after 1st game = (50 x - 15) cents
Second game
∵ Bonzo has (50 x - 15) cents
∵ He paid 10¢ to get in
∴ The money left is (50 x - 15) - 10 = (50 x - 25)
∵ He spent half the money he had left
∴ The money left with him = (50 x - 25) = (25 x - 12.5) cents
∵ He spent 10¢ to get out
∴ The money left after 2nd game = (25 x - 12.5) - 10
∴ The money left after 2nd game = (25 x - 22.5) cents
Third game
∵ Bonzo has (25 x - 22.5) cents
∵ He paid 10¢ to get in
∴ The money left is (25 x - 22.5) - 10 = (25 x - 32.5)
∵ He spent half the money he had left
∴ The money left with him = (25 x - 32.5) = (12.5 x - 16.25) cents
∵ He spent 10¢ to get out
∴ The money left after 3rd game = (12.5 x - 16.25) - 10
∴ The money left after 3rd game = (12.5 x - 26.25) cents
∵ He found he had no money left after the 3rd game
∴ Equate the left money with him by zero
∴ 12.5 x - 26.25 = 0
- Add 26.25 to both sides
∴ 12.5 x = 26.25
- Divide both sides by 12.5
∴ x = 2.1
<em>Bonzo started with 2.1 dollars </em>
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Answer:
The 95% confidence interval for the average price of a home in Gainesville of this size is between 183,772.5 square feet and 242,207.5 square feet.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the students t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 6 - 1 = 5
Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of 0.95(). So we have T = 2.015
The margin of error is:
M = T*s = 2.015*14500 = 29217.5.
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 212990 - 29217.5 = 183,772.5 square feet
The upper end of the interval is the sample mean added to M. So it is 212990 + 29217.5 = 242,207.5 square feet
The 95% confidence interval for the average price of a home in Gainesville of this size is between 183,772.5 square feet and 242,207.5 square feet.