Answer:
D) quantitative
Step-by-step explanation:
Bivariate data are two sets of items that are dependent to each other.
For example, coffee sales compared to the weather on a particular day.
Categorical data a collection of data representing quantities such as age, sex, educational level, blood group etc. It is a collection of data with different categories.
Discrete data can take only integer values.
For example, output of rolling a die is a number from 1 to 6.
Quantitative data are information that are measured and written with numbers.
Here, the height of a bouncing ball is measured and recorded.
Hence, the data we gather here is quantitative.
Answer:
6.447
Step-by-step explanation:
He bought 264.10 / 6.95 = 38 bags.
Every bag covers 245 / 38 = 6.447 square feet.
If you choose to become an architect, then you will need it all the time. You would need to find the area of the floors, walls, etc. which will almost always be composite figures.
Answer:
In Exercises 1-15 use mathematical induction to establish the formula for n ≥ 1.
1. 1
2 + 22 + 32 + · · · + n
2 =
n(n + 1)(2n + 1)
6
Proof:
For n = 1, the statement reduces to 12 =
1 · 2 · 3
6
and is obviously true.
Assuming the statement is true for n = k:
1
2 + 22 + 32 + · · · + k
2 =
k(k + 1)(2k + 1)
6
, (1)
we will prove that the statement must be true for n = k + 1:
1
2 + 22 + 32 + · · · + (k + 1)2 =
(k + 1)(k + 2)(2k + 3)
6
. (2)
The left-hand side of (2) can be written as
1
2 + 22 + 32 + · · · + k
2 + (k + 1)2
.
In view of (1), this simplifies to: