Answer:
f(x) = -x³ + 3x² + 4x - 12
Step-by-step explanation:
f(x)=(x+2)(-x+3)(x-2)
Step 1. Use the difference of two squares
(x + 2)(x - 2) = x² - 4
f(x) = (-x + 3)(x² - 4)
Step 2. Long multiplication
x² - 4
<u>-x + 3 </u>
-x³ + 4x
<u> + 3x² - 12</u>
-x³ + 3x² + 4x - 12
f(x) = -x³ + 3x² + 4x - 12
When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution then"it is flatter and wider than the normal distribution."
<h3>What is normal distribution?</h3>
The normal distribution explains a symmetrical plot of data around the mean value, with the standard deviation defining the width of the curve. It is represented graphically as "bell curve."
Some key features regarding the normal distribution are-
- The normal distribution is officially known as the Gaussian distribution, but the term "normal" was coined after scientific publications in the nineteenth century demonstrated that many natural events emerged to "deviate normally" from the mean.
- The naturalist Sir Francis Galton popularized the concept of "normal variability" as the "normal curve" in his 1889 work, Natural Inheritance.
- Even though the normal distribution is a crucial statistical concept, the applications in finance are limited because financial phenomena, such as expected stock-market returns, do not fit neatly within a normal distribution.
- In fact, prices generally follow a right-skewed log-normal distribution with fatter tails.
As a result, relying as well heavily on the a bell curve when forecasting these events can yield unreliable results.
To know more about the normal distribution, here
brainly.com/question/23418254
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The two regular hexagons could have different side lengths, so they will not necessarily always be congruent, but they will always be similar.
the population is the 40 seniors who were randomly selected and the sample is all seniors
Answer:
Option d is correct.
The number of students that chose Target as their favorite store over Ross = 4 students.
Step-by-step explanation:
The graph of the question is obtained from another brainly question on here. But uploading it will lead to deletion of this answer as it would be violating the community guidelines here.
So, I'm going to describe the graph.
The graph provided with the question is a pie chart, with each region clearly shown and the corresponding percentage for each of the students' favourite stores that come up in the survey given as
TJMax - 20%
Wal-Mart - 25%
Ross - 20%
Target - 25%
Others - 10%.
How many more students surveyed chose Target as their favorite store over Ross?
Total number of students sampled = 80
Number of students that picked Target
= 25% × 80 = 20 students
Number of students that picked Ross
= 20% × 80 = 16 students.
Number of students that chose Target as their favorite store over Ross = 20 - 16 = 4 students.
Hope this Helps!!!
