Write a two-columm proof
1 answer:
Both angles 2x+6 and 96 shown are vertically opposite angles and vertically opposite angles are always equal
so 2x+6 should be equal to 96
so 2x + 6 = 96
Now we have to solve for x here and have to get x by itself on left hand side
So first get rid of +6 by doing its opposite -6 on both sides
2x + 6 -6 = 96 -6
2x = 90
Now to get x by itself we have to get rid of 2, for that divide both sides by 2
x = 45
Hence proved that x = 45
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Answer:
The picture where the red image is the skinniest
Step-by-step explanation:
The graph P(x) denotes the graph of the parent graph for all the functions. And, It includes the vertex of (0,0) and points which are shown below:
x f(x)
-2 2
-1 1
0 0
1 1
2 2
Now as we can see in the attached figure i.e it changed the function points i.e given below for l(x) = 12P(x)
x f(x)
-2 24
-1 12
0 0
1 12
2 24
This depicts that it has a skinner graph that includes redish graph
Answer:
The diameter that separates the bottom 9% is 5.02 millimeters.
The diameter that separates the top 9% is 5.2 millimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.
This means that
Bottom 9%:
The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.
The diameter that separates the bottom 9% is 5.02 millimeters.
Top 9%:
The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.
The diameter that separates the top 9% is 5.2 millimeters.