Answer:
V =41.41³
A = 94.41²
----
V =225.16³
SA =283.25²
----
V = 64³
SA =113.32²
----
V =433.33³
SA = 378.57²
Step-by-step explanation:
Picture 2 = a = 1/2 base = 3.5 x 3.5 = 12.25 b= 5 x 5 = 25
c²= a² + b² = 3.5² + 5²
c ²= √12.25 + √25
c ²= √ 37.5 = 6.12372435696
c ² = 6.1237 missing side
Picture 1 + 2 formula SA = bh + (s1 + s2 + s3)H
V = V= 1/2 b x h h x SA
Picture 3 + 4 formula SA= a²+ 2a a² / 4 + h² V= a² h/3
C. For each hour he works, his earnings go up by $8.
The values coming in the interval (-3,1] are -2, -1, 0, and 1.
<h3>What is defined as the term interval notations?</h3>
- An interval is represented on a number line using interval notation. In all other sayings, it is a method of writing real number line subsets.
- An interval is made up of numbers that fall between two specific data set.
- Intervals can be categorized according to the numbers in the set.
- Interval Open: The endpoints of a inequality are not included in this type of interval.
- Interval Closure; The endpoints of a inequality are included in this type of interval.
- Interval with Half-Open Doors: This interval contains only one of inequality's endpoints.
The given interval notation is;
(-3,1], it is the case of half open half close.
-3 comes with the open interval, it means its value will not be included in the interval.
1 is with the closed interval, it means its value will be included in the interval.
Thus, the values lying between the interval (-3, 1] are -2, -1, 0, and 1.
To know more about the interval notations, here
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The coefficient of determination can be found using the following formula:
![r^2=\mleft(\frac{n(\sum ^{}_{}xy)-(\sum ^{}_{}x)(\sum ^{}_{}y)}{\sqrt[]{(n\sum ^{}_{}x^2-(\sum ^{}_{}x)^2)(n\sum ^{}_{}y^2-(\sum ^{}_{}y)^2}^{}}\mright)^2](https://tex.z-dn.net/?f=r%5E2%3D%5Cmleft%28%5Cfrac%7Bn%28%5Csum%20%5E%7B%7D_%7B%7Dxy%29-%28%5Csum%20%5E%7B%7D_%7B%7Dx%29%28%5Csum%20%5E%7B%7D_%7B%7Dy%29%7D%7B%5Csqrt%5B%5D%7B%28n%5Csum%20%5E%7B%7D_%7B%7Dx%5E2-%28%5Csum%20%5E%7B%7D_%7B%7Dx%29%5E2%29%28n%5Csum%20%5E%7B%7D_%7B%7Dy%5E2-%28%5Csum%20%5E%7B%7D_%7B%7Dy%29%5E2%7D%5E%7B%7D%7D%5Cmright%29%5E2)
Using a Statistics calculator or an online tool to work with the data we were given, we get
So the best aproximation of r² is 0.861
