Solution:
1. The given function is
f(x) = 2 x
it is equation of line passing through origin having slope 2 and the line passes through first and third quadrant.
Domain= All Real numbers, Range = All Real Numbers
2. Now , when x is replaced by (-12 x), we get
f(-12 x)= 2 × (-12 x)
Let f(-12 x)= f(z)= -24 x
it is equation of line passing through origin having slope -24 and the line passes through second and fourth quadrant.
Domain= All Real numbers, Range = All Real Numbers
Relation between the two function i.e between 1 and 2 is
→Slope of line 2 = Slope of line 1 × (-12)
→ The function 2 i.e f(z)= -24 x shifts in left Direction.
The function 1 is dilated by factor of (-12) to get function 2.
Answer:
radians
Step-by-step explanation:
Number of hours on a clock = 12
Since, measure of a circle at the center = 360°
Measure of central angle formed by the arc between each number (representing hours) =
= 30°
Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°
= 120°
Therefore, angle measure in radians =
=
Angle formed by the hands of the clock at 8:00 = radians
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.
In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
In this problem:
The <u>mean and the standard error</u> are given by:
The probability is the <u>p-value of Z when X = 0.68</u>, hence:
By the Central Limit Theorem
has a p-value of 0.1635.
0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.
A similar problem is given at brainly.com/question/25735688