Answer:
The difference of two cubes is equal to the difference of their cube roots times a trinomial, which contains the squares of the cube roots and the opposite of the product of the cube roots. A number's opposite is that same number with a different sign in front.
Step-by-step explanation:
The required number line that shows all of the possible
temperatures is option A.
<h3>Inequalities and number line</h3>
From the given question, we have that water freezes when its temperature is no more than 32 °F
The statement no more than 32 °F shows that the temperature cannot be greater than 32 but less than or equal to 32. This is written mathematically as;
t ≤ 32.
We are to select the number line that shows all of the possible temperatures. The required number line that shows all of the possible
temperatures is option A.
Learn more on number lines here: brainly.com/question/24644930
Answer:
The confidence interval of standard deviation is: 
to 
Step-by-step explanation:
Given
See attachment for the formatted data
Solving (a): The mean
This is calculated as:
So, we have:
Solving (b): The standard deviation
This is calculated as:
--- approximated
Solving (c): 95% confidence interval of standard deviation
We have:
So:
Calculate the degree of freedom (df)
Determine the critical value at row and columns 
and 
So, we have:
---- at
--- at
So, the confidence interval of the standard deviation is:
to 
to 
to 
to
√65Explanation:(−5,1)=x1,y1(3,0)=x2,y2The distance is calculated using formula:'Distance =√(x2−x1)2+(y2−y1)2=√(3−(−5))2+(0−1)2=√(3+5)2+(−1)2=√(8)2+(−1)2=√(64+1)Distance =√65
Answer:
103.95
Step-by-step explanation:
99×5/100=4.95
99+4.95=103.95
