It will just be -7/12 because anything times 1 stays the same
Answer:
The answer to your question is: 14 + 2√40 = 26.6 units
Step-by-step explanation:
Data
A ( -5, 4) B (-3, -2) C (4, -2) D (2, 4)
Formula
d = √(x2 - x1)² + (y2 - y1)²
Perimeter = dAB + dBC + dCD + dAD
Process
dAB = √(-3 + 5)² + (-2 - 4)²
dAB = √(2)² + (-6)²
dAB = √4 + 36
dAB = √40 units
dBC = √(4 + 3)² + (-2 + 2)²
dBC = √(7)²
dBC = √49
dBC = 7 units
dCD = √(2 - 4)² + (4 + 2)²
dCD = √(2)² + (6)²
dCD = √40 units
dAD = √(2 + 5)² + (4 - 4)²
dAD = √49
dAD = 7 units
Perimeter = √40 + 7 + √40 + 7
Perimeter = 14 + 2√40 = 26.6 units
The central 50 percent of data around average
Answer:
99% confidence interval for the mean value from the random number generator is a lower limit of 85.87 and an upper limit of 110.93.
Step-by-step explanation:
Confidence interval = mean +/- margin of error (E)
mean = 98.4
sd = 16.3
n = 15
degree of freedom (df) = n - 1 = 15 - 1 = 14
confidence level (C) = 99% = 0.99
significance level = 1 - C = 1 - 0.99 = 0.01 = 1%
t-value corresponding to 14 df and 1% significance level is 2.977.
E = t×sd/√n = 2.977×16.3/√15 = 12.53
Lower limit = mean - E = 98.4 - 12.53 = 85.87
Upper limit = mean + E = 98.4 + 12.53 = 110.93
99% confidence interval for the mean is between 85.87 and 110.93
