Answer:
Step-by-step explanation:
Residual (Round to nearest tenth)1. 7 Answer1. 1 Answer1. 4 Answer0. 7 Answer0. 8 Answer1. 9 Answer1. 7 Answer1. 9 Answer1. 9 Answer1. 1 Answer
Answer:

Step-by-step explanation:
−2|x| < −8 ↷
−2x > 8 −2x < −8
___ __ ___ ___
−2 −2 −2 −2
OR 
Whenever you multiply\divide by a <em>negative</em>, you reverse the inequality symbol.
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Answer:
B
Step-by-step explanation:
Let's arrange the data set in increasing order.
We have 19, 27, 27, 33, 45, 53. The median is (27 + 33) / 2 = 30.
The new set is 19, 27, 27, 33, 45, 53, 90. The new median is 33.
Since 33 - 30 = 3 the answer is B.
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Answer:
(a) 6² +3² +1² +1² = 47
(b) 5² +4² +2² +1² +1² = 47
(c) 3³ +4² +2² = 47
Step-by-step explanation:
It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.
The approach where a cube is required can work the same way.
(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1
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(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...
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(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2
To solve for the value of x, you can simply add all of the values and expressions together and make it equal to 180 degrees, since the sum of all angles in a triangle add up to this amount.
Then we can solve for X, by algebra.