Are there any multiple choice answers?
Answer:
Noah did not make any error
Step-by-step explanation:
The median of a list of strictly increasing numbers is simply the middle number. If there's an even number of numbers in the list, then the median is the average of the middle two terms.
Here, the numbers are 115, 109, 117, 136, 127, 131. When ordered from least to greatest, we get: 109, 115, 117, 127, 131, and 136, which is what Noah got.
Since there are 6 numbers (6 is even), the median will be the average of the middle two numbers, which are 117 and 127: (117 + 127)/2 = 244/2 = 122
So, Noah was correct.
Answer:
<u><em>a) P(X=1) = 0.302526</em></u>
<u><em>b) P(X=5) = 0.010206</em></u>
<u><em>c) P(X=3) = 0.18522</em></u>
<u><em>d) P(X≤3) = 0.92953</em></u>
<u><em>e) P(X≥5) = 0.010935</em></u>
<u><em>f) P(X≤4) = 0.989065</em></u>
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<u><em>If helpful, please mark as brainliest! =)</em></u>
Remark
You have to complete the square twice. Begin by transferring the 75 to the right hand side. Put separate brackets around the x terms and another set around the y terms.
(x^2 + 10x ) + (y^2 - 16x ) = - 75
(x^2 + 10x + (10/2)^2 ) + (y^2 - 16x + (16/2)^2) = - 75 + (10/2)^2 + (16/2)^2
(x + 5)^2 + (y - 8)^2 = - 75 + 25 + 64
(x + 5)^2 + (y - 8)^2 = 14
The center is at (-5,8) which is C
Note: The graph is below just to confirm my answer. Notice where the center is and that the radius is just under 4.