For x +iy absolute value = √(x² + y²)
Absolute value of -4-√2i = -4-i√2, comparing x = -4, y= -√2
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Absolute value = </span>√( (-4)² + (-√2)²),
(-4)² = (-4)*(-4) = 16, (-√2)² = -√2 * -√2 = 2
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= </span><span>√( (-4)² + (-√2)²)
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</span>= √(16 + 4) = √20
√20 = √(4*5) = √4 * √5 = 2√5
Absolute value = <span>2√5</span>
Apples . . . . . 40 pounds
Oranges . . . . 5 pounds
Ratio of apples to oranges = 40 pounds / 5 pounds = 8 / 1 .
Answer:
perpendicular
Step-by-step explanation:
Answer:
13/4
Step-by-step explanation:
Answer:
0.006 is the probability that the record will be broken in next year.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 62 seconds
Standard Deviation, σ = 0.8 seconds
We are given that the distribution of face time is a bell shaped distribution that is a normal distribution.
Formula:
The record will be broken if the time is less than 60 seconds.
P(time is less than 60 seconds)
P(x < 60)
Calculation the value from standard normal z table, we have,

Thus, 0.006 is the probability that the record will be broken in next year.