Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.
Answer:
1. Nominal
2. Interval
3. Interval
4. Nominal.
Step-by-step explanation:
Nominal scales are used when the variable we're interested in has NO quantitative value.
Therefore, the college you are enrolled in and your hometown are examples of nominal data.
Interval scales are used when the variable we are interested in has quantitative value and the values have an order and the difference between each value is the same.
For the case of number of students, we know, for example, that 20 students < 21 students, and the difference between 20 and 21 is the same as the one between 21 and 22. The same applies for the age of your classmates.
Therefore, the age of your classmates and the number of students in a statistics course is an interval data.
Answer: A. The value of his investment decreased by 16% during this time period.
Step-by-step explanation:
Here the initial amount = n
Final amount after 1 years = 0.84n
The total change in the initial amount = n - 0.84n = 0.16 n
= 
Thus, the amount is decreases by 16% in one year,
⇒ Option A is correct.
