2x(1+3)=7 is the factored form
Given:
Amplitude = 2
Midline = 5
Period of .
To find:
The cosine function.
Solution:
The general cosine function is:
...(i)
Where, |A| is amplitude, is period, is phase shift and D is the mid line.
Period of function is . So,
Substituting in (i), we get
Therefore, the required cosine function is .
What measure of spread is used when your data distribution is symmetrical?
Answer: When the data distribution is symmetrical, the appropriate measure of spread is standard deviation. The reason is both sides of symmetrical distribution will have same spread.
Symmetrical distribution: Symmetrical distribution is one when both sides of the distribution are identical. The symmetrical distribution is bell shaped and mean, median and mode are equal in symmetrical distribution.
Standard deviation: Standard deviation is the measure of dispersion. It measures the deviation of a set of numbers from its mean. It is defined as the square root of means of the squared deviations from the arithmetic mean
) Using formula for cicumference.
Circumference = Pi * diameter
Circumference = Pi * 80m
Circumference = 251.2m.
Total inside length of the curved ends.
2)Total distance round inside of track =
2(125) + 251.2m
= 250 + 251.2
= 501.2m
3) Area of circular ends =
Pi*r^2
= Pi*40^2
= 5024m^2
Area of central area (rectangle)
length * width
125m * 80m
= 10,000m^2
Total area inside track =
5,024m^2 + 10,000m^2
= 15,024m^2
Hope this helps.
:-)