Answer:
1. 20% - add 2 lbs of water to get 2.5 lbs of syrup
2. 25% - add 1.5 lbs of water to get 2 lbs of syrup
3. 1.5% - add 32.833 lbs of water to get 33.333 lbs of syrup
Step-by-step explanation:
Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the syrup.
1. 20% syrup:
0.5 lbs - 20%
x+0.5 lbs - 100%
Write a proportion:
To get 20% syrup Ella should add 2 lbs of water. The total weight of strup is 2.5 lbs.
2. 25% syrup:
0.5 lbs - 25%
x+0.5 lbs - 100%
Write a proportion:
To get 25% syrup Ella should add 1.5 lbs of water. The total weight of strup is 2 lbs.
3. 1.5% syrup:
0.5 lbs - 1.5%
x+0.5 lbs - 100%
Write a proportion:
To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of strup is 33.333 lbs.
Answer:
A) x ≥ 0.074; B) x ≥ 0.108; C) x ≤ 0.006; D) 0.04 ≤ x ≤ 0.108
Step-by-step explanation:
68% of data will fall within 1 standard deviation of the mean; 95% of data will fall within 2 standard deviations of the mean; and 99.7% of data will fall within 3 standard deviations of the mean.
Breaking this down, we find that 34% of data fall from the mean to 1 standard deviation above the mean; 13.5% of data fall from 1 standard deviation above the mean to 2 standard deviations above the mean; 2.35% of data fall from 2 standard deviations above the mean to 3 standard deviations above the mean; and 0.15% of data fall above 3 standard deviations above the mean.
The same percentages apply to the standard deviations below the mean.
The highest 50% of data will fall from the mean to the end of the right tail. This means the inequality for the highest 50% will be x ≥ 0.074, the mean.
The highest 16% of data will fall from 1 standard deviation above the mean to the end of the right tail. This means the inequality for the highest 16% will be x ≥ 0.074+0.034, or x ≥ 0.108.
The lowest 2.5% of data will fall from 2 standard deviations below the mean to the end of the left tail. This means the inequality for the lowest 2.5% will be x ≤ 0.074-0.034-0.034, or x ≤ 0.066.
The middle 68% will fall from 1 standard deviation below the mean to 1 standard deviation above the mean; this means the inequality for the middle 68% will be
0.074-0.034 ≤ x ≤ 0.074+0.034, or
0.04 ≤ x ≤ 0.108
Answer:
349.21875 %
Step-by-step explanation:
if 100 percent of a number is that number than 349.21875 percents of a number is 3 times that number with additional add ons
Angle 1 = 96
angle 2 = 36
angle 3 = 48
The answer is false. n^2 would become 6^2 which is equal to 36 not 12
