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:
<h3>polar form</h3>
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)
The answer to this is 62.
Answer:
the answer would be v ≥ $5.80
Step-by-step explanation:
he doesn't need exactly 5.80 a day so that marks out A and C and since he needs v to be at least 5.80 it means B would be the answer
Since the sample size is less than 30, therefore we use
the t statistic.
Let us define the given variables:
N = sample size = 25
X = average score = 76
s = standard deviation = 12
99% Confidence interval
Degrees of freedom = n – 1 = 24
The formula for confidence interval is given as:
CI = X ± t * s / sqrt N
using the standard distribution table, the t value for DF
= 24 and 99% CI is:
t = 2.492
Therefore calculating the CI using the known values:
CI = 76 ± 2.492 * 12 / sqrt 25
CI = 76 ± 5.98
CI = 70.02, 81.98
Answer: The average score ranges from 70 to 82.
Answer:
just write the numbers of coins a different way
