Answer: The amplitude is 4.
Step-by-step explanation:
Given the form of the sine function:

Where
is the amplitude,
is the period and "k" is the vertical shift of the wave.
You know that, in the sine function given (
), you can identify the amplitude and the period. These are:


Therefore, the amplitude of
is:

Answer:
80
Step-by-step explanation:
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Given:
Sample size, n = 40
Sample mean, xb = $6.88
Population std. deviation, σ = $1.92 (known)
Confidence interval = 90%
Assume normal distribution for the population.
The confidence interval is
(xb + 1.645*(σ/√n), xb - 1.645*(σ/√n)
= (6.88 + (1.645*1.92)/√40, 6.88 - (1.645*1.92)/√40)
= (7.38, 6.38)
Answer: The 90% confidence interval is (7.38, 6.38)
Answer:
76/99
Step-by-step explanation:
76 ÷ 99 = 0.767676....
Answer:
20
Step-by-step explanation:
This is a right triangle
a² + b² = c²
16² + 12² = x²
256 + 144 = x²
400 = x²
take the square root of both sides
x = 20