Step-by-step explanation:
(1,4)
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A college administration has conducted a study of 166 randomly selected students to determine the relationship between satisfact
ion with academic advisement and academic success. They obtained the following information: Of the 62 students on academic probation, 29 are not satisfied with advisement; however, only 23 of the students not on academic probation are dissatisfied with advisement. What is the probability that a student selected at random is not on academic probation and is not satisfied with advisement?
1 answer:
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Answer:
Segment EH and segment E prime H prime both pass through the center of dilation (A)
The complete question related to this found on brainly (ID:16812154) is stated below:
Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?
E(0,5) F(1,1) G(-2,1) H(0,1)
a) segment EH and segment E prime H prime both pass through the center of dilation.
b)The slope of segment EF is the same as the slope of segment E prime H prime.
c) segment E prime G prime will overlap segment EG. segment
d) EH ≅ segment E prime H prime.
Step-by-step explanation:
∆EFG = Original image
∆EFG is dilated to give ∆E'F'G'
∆E'F'G' = New image
Scale factor = 3
Center of dilation = (0,1) = H(0,1)
Coordinates ∆EFG : E(0,5) F(1,1) G(-2,1)
To determine the statement that is true about the dilation from the options,
First we would make a diagram on the coordinates of ∆EFG and center of dilation (H).
Find attached the diagram.
Length GF = 3unit
Length G'F' = 3×scale factor = 9unit
Length EH = 4unit
Length E'H' = 4×scale factor = 12unit
Then we would move 3units to the left on same line from G to get the coordinate of G'(mark the point).
Also move 3units to the right on same line from F to get the coordinate of F'(mark the point).
Both of these give length of G'F' = 9unit
Now move 8units to the top from E to get the coordinate of E'(mark the point).
From this you get length E'H' = 12unit
Draw lines connecting the three points to get ∆E'F'G'
See diagram for better understanding
From the diagram, EH and E'H' both pass through (0,1). The other options are wrong.
Therefore, Segment EH and segment E prime H prime both pass through the center of dilation (A)
Answer:
The equilibrium quantity is 26.4
Step-by-step explanation:
Given
Required
Determine the equilibrium quantity
First, we need to determine the equilibrium by equating Qd to Qs
i.e.
This gives:
Collect Like Terms
Solve for P
This is the equilibrium price.
Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:
<em>Hence, the equilibrium quantity is 26.4</em>