Answer:
Original equation:
y = a sin(b(θ -c)) + d
a = vertical dilation (stretch) of the amplitude
b = horizontal compression (shrink) of the period
c = horizontal shift (left/right)
d = vertical shift (up/down)
Your function is:
y = 3 sin(3θ + π) - 2
First, put it into the general from by factoring out the three in the argument of the sine:
y = 3 sin(3(θ + π/3)) - 2
a = vertical (amplitude) dilation = 3
b = horizontal (period) compression = 2π/period = 3
c = horizontal shift = π/3 to the left
d = vertical shift = -2
0 5
4 2
= (0 x 2) - (5 x 4) = -20
Answer:
The sample median number of occupants is 1.
Step-by-step explanation:
Median:
The measure that separates the lower half of the distribution from the upper half.
In this question:
Total of 100 cars.
64 have 1 occupant.
19 have 2 occupants
12 have 3 occupants
3 have 4 occupants
2 have 5 occupants.
Median:
In the cumulative distribution
100/2 = 50
While we count until 64, it has 1 occupant, so 50 is one occupant, which means that the sample median is 1.
The sample median number of occupants is 1.
Answer:
5-mile
Step-by-step explanation:
In order to calculate the distance between the park and the school, which is marked by the x in the picture attached we need to use the Pythagorean theorem. This equation is the following
where a is the 3 miles east and b is the 4 miles south ... now we can plug in these values and solve the equation.
... square both the 3 and the 4
... add the two values
... square root both sides
5 = c
Finally we can see that there is a 5-mile distance between the park and the apartment
