Answer:
Yes. No graph paper.
Step-by-step explanation:
Let's say the 3 points are A, B, C.
If A, B and C lie on one line then
Hence, they lie on one line.
You don't need to use a graph paper to prove it.
What is the length of segment XY? 4.5 units /45 units /53 units 9 units
2 answers:
Answer: The correct option is (C) √53 units.
Step-by-step explanation: We are given to find the length of the line segment XY in the graph.
We know that the length of a line segment is equal to the distance between its end points.
<u><em>DISTANCE FORMULA:</em></u> The distance between two points with co-ordiantes (a, b) ad (c, d) is given by
From the graph, we note that
the co-ordinates of the point X are (-4, 0) and the co-ordinates of the point Y are (3, 2).
Therefore, the distance between the points X and Y is given by
So, the length of the line segment XY is √53 units.
Option (C) is correct.
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Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560
P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean = np = 52 × 0.3085 = 16.042
The standard deviation =
The standard deviation =
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)
From z tables
P(Y > 20) 0.0903