The point A (-5, -2) is reflected over the line y = -1, and then is reflected over the line x = 3. What are the coordinates of A
2 answers:
Answer:
(11,0)
Step-by-step explanation:
A is (-5,-2)
It is reflected over the line y=-1
The distance between the y value is -1-(-2)= 1
So we move 1 unit above the line y=-1
After reflection over the line y=-1 the A becomes (-5,1-1) is (-5,0)
It is reflected over the line x = 3
The distance between -5 and 3 is
So we move 8 units away from the line x=3
Point (-5,0) becomes (3+8,0) is (11,0)
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Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The probability that the life span of the monitor will be more than 20,179 hours is <u>one subtracted by the p-value of Z when X = 20179</u>, hence:
Z = 0.59.
Z = 0.59 has a p-value of 0.7224.
1 - 0.7224 = 0.2776.
0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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Answer:
H. 2 3/4
Step-by-step explanation:
- DATE >> WATER LEVEL CHANGE (inches)
- August 25 >> -0.75
- September 8 >> -1 3/ 8
- September 22 >> 2.5
- October 6 >> -1/2
- October 20 >> 1 7/8
<u>Total change:</u>
- 1 7/8 - (-0.75) =
- 1+ 7/8 + 3/4 =
- 1 + 7/8 + 6/8 =
- 1 + 13/8 =
- 1+ 1 5/8 =
- 2 5/8
The closest answer option is H. 2 3/4
