Answer:
x = 0, x = 2/3
Step-by-step explanation:
x / 4 = x² / (x + 2)
x = 4x² / (x + 2)
x * (x + 2) = 4x²
x² + 2x = 4x²
3x² - 2x = 0
x(3x - 2) = 0
x = 0, x = 2/3
I used the Old Change New method and cross multipled
I multiplied $48.76 * 115% (100% + 15%) which equal to 5607.4
So I divided that 5607.4 by 100% and it equals to $56.074 or juat round it to $56
Check: $56 > $48.76 by 15% so the answer is $56 after 15% tip
Answer:
The cutoff rate that would separate the highest 2.5% of currency A/currency B rates is 1.92.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1.832
Standard deviation = 0.044
Top 2.5%
95% of the measures are within 2 standard deviation of the mean.
Since the normal distribution is symmetric, this 95% goes from the 50 - 95/2 = 2.5th percentile to the 50 + 95/2 = 97.5th percentile.
The 97.5th percentile is the cutoff for the highest 2.5% of currency A/currency B rates, and it is 2 standard deviations above the mean.
1.832 + 2*0.044 = 1.92
The cutoff rate that would separate the highest 2.5% of currency A/currency B rates is 1.92.