Which of the following is the graph of f(x)= 3 sin 2(x)?
1 answer:
Answer:
Step-by-step explanation:
Use the form a sin ( bx- c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a = 3
b = 2
c = 0
d = 0
Find the amplitude | a |
Amplitude: 3
Find the period using the formula 2π ÷ IbI
Period: π
Find the phase shift using the formula
Phase Shift: 0
Find the vertical shift : d
Vertical Shift: 0
List the properties of the trigonometric function.
Amplitude: 3
Period: π
Phase Shift: 0 ( 0 to the right)
Vertical Shift: 0
Select a few points to graph.
x f ( x )
0 0
π ÷ 4 3
π ÷ 2 0
3 π ÷ 4 -3
π 0
The Trignometric function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude: 3
Period: π
Phase Shift: 0 ( 0 to the right)
Vertical Shift: 0
x f ( x )
0 0
π ÷ 4 3
π ÷ 2 0
3 π ÷ 4 -3
π 0
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Answer:
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Find the score that separates the lower 5% of the class from the rest of the class.
This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
The score that separates the lower 5% of the class from the rest of the class is 55.6.