A quadrilateral has vertices A, B, C, and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units
1 answer:
Answer:
The correct option is O B'
Step-by-step explanation:
We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.
Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.
In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.
Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).
I will attach a drawing with an example.
Finally, we only have to look at the vertices and its original distances to answer the question.
The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'
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Given:
mean, u = 0
standard deviation σ = 1
Let's determine the following:
(a) Probability of an outcome that is more than -1.26.
Here, we are to find: P(x > -1.26).
Apply the formula:
Thus, we have:
Using the standard normal table, we have:
NORMSDIST(-1.26) = 0.1038
Therefore, the probability of an outcome that is more than -1.26 is 0.1038
(b) Probability of an outcome that
1. If Sheryl works 6.5 hours in a day, she makes approximately 85 currency.
2A. If Sherly had not worked for a single hour, she would get no money.
If she worked for 1 hour, here wage would approximately be equal to 13 currency.
If Sheryl works 9 hours she will make approximately 117 currency.
Step-by-step explanation:
Step 1:
To calculate how much Sheryl makes if she works 6.5 hours a day, we check the graph to see what the y value of the graph is when .
When , the line falls on
So if Sheryl works 6.5 hours in a day, she makes approximately 85 currency.
Step 2:
The two points on the graph are at (0, 0) and (1, 13).
This means that if Sherly had not worked for a single hour, she would get no money.
If she worked for 1 hour, here wage would approximately be equal to 13 currency.
These two statements explain the two points on the graph.
Step 3:
To calculate how much Sheryl makes if she works 9 hours, we must create an equation that represents how much money she makes.
If she earns approximately 13 currency an hour, her wage is , where x is the number of hours worked and y is the wage.
When ,
So if Sheryl works 9 hours she will make approximately 117 currency.