Answer:

Step-by-step explanation:
Solve for the value of
:

-Use <u>Distributive Property</u>:


-Take
and add it to
:


-Subtract both sides by
:


-Divide both sides by
:


Therefore, the value of
is
.
Multiplying an odd number of negative factors equals a negative
-5* 2n -1
Calculate the product
the answer is -10n - 1
The estimated standard error for the sample is 6
Given,
Sample size, n = 36
Sample variance,
= 1296
Standard deviation, s = √1296
= 36
Standard error, SE = 
= 
= 
= 6
Concept
- Sample size is the number of participants or observations included in a study. It is denoted by ‘n’
- Sample variance is a measure of the degree to which the numbers in a list are spread out. It is denoted by '
'
- Standard deviation is a measure of how dispersed the data is in relation to the mean. It is denoted by ‘s’
Learn more about standard deviation here:brainly.com/question/13905583
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Answer:
<h3><u>Part (a)</u></h3>
From inspection of the diagram, the pattern is:
Step 1: 1² + 1
Step 2: 2² + 2
Step 3: 3² + 3
Let x = step number
Let y = total number of squares
Therefore, the equation that represents the relationship is:
y = x² + x
<h3><u>Part (b)</u></h3>
<u />
x² relates to the large square made up of small squares (top part of the image of each step)
x relates to the rectangle of small squares (bottom part of the image of each step)
y is the total number of small squares in the image of each step.
Volume = (1/3)(pi)(r^2)(h)
= (1/3)*3.14*(4^2)(h)
= 16.747h
volume / 16.747 = height = 50.24/16.747 = 3