Do you have a picture of the graphs to choose from? :)
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.
Five-Hundred Three Thousand, Two-Hundred Forty Six
Answer:
Answer as a decimal:
Answer as a fraction:
Step-by-step explanation:
y - 15 = 3x
-2x + 5y = -3
Solve the first equation first to substitute into second equation
y - 15 = 3x
Add 15 to both sides of the equation
y = 3x + 15
Substitute this value of y into second equation
-2x + 5y = -3
2x + 5(3x + 15) = -3
Multiply
2x + 15x + 75 = -3
Add the x's
17x + 75 = -3
Subtract 75 from both sides of the equation
17x = -78
Divide both sides of the equation by 17
Answer as a decimal:
Answer as a fraction:
Hope this helps :)
The square root of 39 = 6.2445
Comparing to the 6.51326, it has a difference of 0.268262. Therefore, 6.51326 is greater than square root of 39.