Answer:
This is a linear function because there is a common difference of 4
⇒ 2nd answer
Step-by-step explanation:
- In the linear function there is a common difference between each two
consecutive data
- In the exponential function there is a common ratio between each two
consecutive data
- Lats check the data in the data in the table
(x) === 1 ⇒ 2 ⇒ 3
f(x) === 4 ⇒ 8 ⇒ 12
∵ x has consecutive numbers 1 , 2 , 3
∵ 8 - 4 = 4
∵ 12 - 8 = 4
∴ f(x) has a common difference 4
∵ 8 ÷ 4 = 2
∵ 12 ÷ 8 = 1.5
∴ f(x) has no common ratio
∴ The table represents a linear function with common difference 4
This is a linear function because there is a common difference of 4
Answer:
(a) N (16, 2.5²)
(b) 0.241
(c) Low: 15.4 years
High: 16.6 years
Step-by-step explanation:
The random variable <em>X</em> is defined as the age at death of a randomly selected indoor cat.
(a)
The distribution of X is:

(b)
Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:


Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.
(c)
Compute the two numbers within which 20% of indoor cats' age of death lies as follows:

The corresponding value of <em>z</em> is, 0.25.
Compute the value of <em>x</em>₁ and <em>x</em>₂ as follows:

Low: <u>15.4</u> years
High: <u>16.6</u> years
Volume of a rectangular solid is lwh
Increase of 5% make the volume to be 1.05l(1.05w)(1.05)h = 1.157625lwh
which is approximately an increase of 15.8% of the original volume.
Answer:
The equation that models the relationships between
, the number of hours Mark reads, and ,
the number of pages of the book he reads is:

Step-by-step explanation:
Given:
Mark reads 42 pages every
hour.
The number of hours is given by = 
The number of pages is given by =
The equation can be modeled as:

where
represents rate of change and
represents the y-intercept or the initial value.
Rate of change =
The initial value
as Mark starts reading from 0.
So, the equation is:
