How to find a fraction between two fractions
2 answers:
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Answer:
a) So, she can expect a 2.4 calls per hour.
b) So, the standard deviation is 0.8.
Step-by-step explanation:
We know that probability model below describes the number of repair calls that an appliance repair shop may receive during an hour.
Repair Calls 1 2 3 4
Probability 0.1 0.5 0.3 0.1
a) We calculate how many calls should the shop expect per hour.
We get:
So, she can expect a 2.4 calls per hour.
b) We calculate the standard deviation:
So, the standard deviation is 0.8.
Given:
The scale factor is and the center of dilation is at the point (4,2).
Red is original figure and green is dilated figure.
To find:
The coordinates of point C' and point A.
Solution:
Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
According to the given information, the scale factor is and the center of dilation is at (4,2).
...(i)
Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
From the given figure it is clear that the image of point A is (8,4).
On comparing both sides, we get
And,
Therefore, the coordinates of point A are (16,8).