Rick bought 3 shirts for $18 each, 2 pair of socks for $3.99 a pair, and a pair of slacks, for $45.00. The sales tax is 8.5%. Ho
1 answer:
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Answer:
the 95% confidence interval to estimate the population mean is between 1.62 and 6.50
Step-by-step explanation:
given data
distribution = 4.5, 6.4, 2.3, 1.8, 5.3
so n = 5
confidence interval = 95%
to find out
the population mean is between
solution
first we calculate the mean i.e.
mean =
mean = 4.5+ 6.4+ 2.3+ 1.8+ 5.3 / 5
mean = 4.06
now we calculate the standard deviation i.e.
standard deviation =
standard deviation =
standard deviation =
standard deviation =
standard deviation = 2.226544
so 95 % confidence interval is i.e. mean +/- t(5) * standard deviation/
here t(5) will be 2.45
so
95 % confidence interval= 4.06 +/- 2.45 * 2.226 /
95 % confidence interval= 1.62 and 6.50
Answer:
- modulus: 3√2
- argument: -3π/4 (or 5π/4)
Step-by-step explanation:
The modulus is the magnitude of the complex number; the argument is its angle (usually in radians).
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<h3>rectangular form</h3>The complex number can be cleared from the denominator by multiplying numerator and denominator by its conjugate:
The magnitude of this number is the root of the sum of the squares of the real and imaginary parts:
modulus = √((-3)² +(-3)²) = 3√2
The argument is the arctangent of the ratio of the imaginary part to the real part, taking quadrant into consideration.
arg = arctan(-3/-3) = -3π/4 or 5π/4 . . . . radians
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modulus∠argument = (3√2)∠(-3π/4)