To solve this problem you must apply the proccedure shown below:
1- You must apply the following formula:

Where
is the residual,
is the observed value
and
is the predicted value
.
2- You only need to substitute the
into the equation
and then, you must apply the formula for calculate the residual:


The answer is: The residual is 
Answer:
This statement can be made with a level of confidence of 97.72%.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8.1 mm
Standard Deviation, σ = 0.5 mm
Sample size, n = 100
We are given that the distribution of thickness is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling:

P(mean thickness is less than 8.2 mm)
P(x < 8.2)
Calculation the value from standard normal z table, we have,

This statement can be made with a level of confidence of 97.72%.
Answer:
Answer D is correct
Step-by-step explanation:
1: (1, 1.25) (2, 2)
So you have your first problem, your first number is x1 while your next number in the first set of parenthesis is y1. Your next set of parenthesis will be x2 and y2 like this:
x1 y1 x2 y2
(1, 1.25) (2, 2)
Then you set up a equation like this!
x2-x1
-------Divided
y2-y1
so we now plug in the numbers and get this
2-1.25 = 0.75
--------- ---- or 0.75 BUT not 1.25 like we need!
2-1 = 1
Answer: Postulate 1: -4,-4
Postulate 2: D. The postulates guarantee that unique lines can be draw that they will meet at a unique point.
Step-by-step explanation:
Answer: There is a difference between rote counting and rational counting. Rote counting involves the memorization of numbers. Rational counting tells children "how many there are." For children to count rationally, they need to demonstrate one-to-one correspondence.