Answer:
Step-by-step explanation:
Principal, P = $4,000
Interest rate, r = 3% = 0.03
Period, t = 20 years
Number of times compounded in a year = 4
Amount , A = P( 1 + r/n)^tn
A = 4000( 1 + 0.03/4)^4*20
A = 4000( 1 + 0.0075) ^80
A =4000( 1.0075) ^80
A = 4000* 1.818
A = $7272.18
The y intercept is 3 because that is where the point aligns to the axis
Answer:


The relative variability is almost equal in both samples a slight greater variability can be noticed in the first sample.
Step-by-step explanation:
The coefficient of variation of a sample is defined as the ratio between the mean standard deviation and the sample mean. And it represents the percentage relation of the variation of the data with respect to the average.

In the case of the first sample you have:

In the case of the second sample you have:

The relative variability is almost equal in both samples a slight greater variability can be noticed in the first sample.
Answer:
Approximately 42 times larger
Step-by-step explanation:
The diameter of a sphere is 2,160 mm.
The diameter of a second sphere is 7,520 mm.
To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:


To see how many times larger the volume is, we cube both sides

This implies that

Therefore the volume of the second sphere is approximately 42 times larger
Number of red marbles/total number of marbles
35/(35+8+7)
35/50
7/10
The probability is 7/10