Answer:
0.1%
Step-by-step explanation:
138 into a percent=1.38%
156 into a percent=1.56%
175 into a percent=1.75%
1.38-1.56=0.18
1.56-1.75=0.19
0.19-0.18= <u>0.1%</u>
Answer:
The sample size is too small and will show a large variation.
The sample size is too small and can lead to false inferences.
A larger sample will give more reliable information.
Step-by-step explanation:
-In statistical sampling, sample size is of critical importance.
-A large sample size increases the accuracy of mean values as it eliminates or flattens out outliers.
-A large sample size also leads to a lower margin of error as the confidence level increases.
-The is greater precision when a larger sample size is used.
Answer:
y = -41
Step-by-step explanation:
All you need to do is subtract 34 from both sides; -34 - 7 is -41. Which means y is -41.
The image of the histogram distribution is missing, so i have attached it.
Answer:
Option C: The distribution is unimodal. Its mode is near 60 inches
Step-by-step explanation:
Mode simply means the most occurring value in a set of data.
Now, for histogram, the mode is the highest peak represented in the bars.
Now, from the image attached, it is seen that there is a clear highest peak. Thus, the histogram has only one peak and it can be described as unimodal.
We are not given the mode height from the histogram but we can see that it is between 60 and 68 inches. And if carefully observed it will have a value closer to 60.
Thus,option C is correct.
Step-by-step explanation:
We will prove by mathematical induction that, for every natural
,
We will prove our base case, when n=4, to be true.
Base case:

Inductive hypothesis:
Given a natural
,
Now, we will assume the induction hypothesis and then use this assumption, involving n, to prove the statement for n + 1.
Inductive step:

With this we have proved our statement to be true for n+1.
In conlusion, for every natural
.