Answer:
Step-by-step explanation:
From the given information.
suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:
So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.
Thus, the students can check off one answer to each question in 
= 4 × 34 × 4 × 4 × 4
= 1024 different ways.
From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.
Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵
= 3 × 3 × 3 × 3 × 3
= 243 ways
Answer:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Step-by-step explanation:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Answer:
Bottom left.
Step-by-step explanation:
In order for any of them to be the graph of a function you would need that given a value of x, you get no more than one value of y. Zero is fine, you just picked an x out of the domain.
In layman's terms it means that if you grab a ruler, a piece of paper, a pen, and you scan the graph moving the edge parallel to the y axis (ie, vertically) you are allowed to touch the graph only once. Top right is out. Bottom left is ok, bottom right is not: you have infinite points of contact in there.
Top left would be fine, if it wasn't for x = 1. In there you have two values marked with a solid dot. That makes it not the graph of a function.
<span>3w - 3x + 2w - 6 - 8
Combine like terms:
= 5w - 3x - 14</span>