The direct answer to your question is: "No".
because in that equation, 'x' is not 120 or130.
Let's find out what 'x' actually is:
<u>3/5 x = 52</u>
Multiply each side by 5 : 3x = 260
Divide each side by 3 : <em> x = 86 and 2/3 </em>
I am pretty sure that the median is 80, correct me if I'm wrong :)
Answer:
Mean = 113.72
The estimator of 113.72 is point estimate used for the conceptual population of all first-graders in this school
Step-by-step explanation:
Data provided in the question:
Data:
82 96 99 102 103 103 106 107 108 108 108 108 109 110 110 111 113 113 113 113 115 115 118 118 119 121 122 122 127 132 136 140 146
Number of data = 33
In the hint it is also given that the sum of the data value i.e ∑x = 3753
Now,
Point estimate of mean is given as;
Mean =
or
⇒ Mean =
or
⇒ Mean = 113.72
Hence,
The estimator of 113.72 is point estimate used for the conceptual population of all first-graders in this school
Here is one way to solve for x.
Step 1) 2x^2-7=9
Step 2) 2x^2-7+7=9+7
Step 3) 2x^2=16
Step 4) (2x^2)/2=16/2
Step 5) x^2=8
Step 6) sqrt(x^2)=sqrt(8)
Step 7) |x|=sqrt(8)
Step 8) x=sqrt(8) or x=-sqrt(8)
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Below are explanations/reasons to each of the steps above.
Step 1) Original equation
Step 2) Add 7 to both sides
Step 3) Combine like terms
Step 4) Divide both sides by 2
Step 5) Simplify
Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"
Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x
Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.
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The two solutions are
x = sqrt(8) or x = -sqrt(8)
For the first one it is 5 x10^{8}
and for the second one it is 0.0005 = 5 × 0.0001 = 5 × 10−4