9x-(-2y)-8x-(-12y) simplify
1 answer:
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Answer:
the fire hydrant is 9 meters west and 58 m south of the tower
Step-by-step explanation:
Fire A and Fire B can be represented as a point in the Cartesian coordinate with the tower as the origin. Fire A is 75 meters east and 40 meters south of the tower, It can be represented as (75, -40). Fire B is 37 meters west and 64 meters south of the tower, It can be represented as (-37, -64).
If a point O(x, y) divides a line segment AB in the ratio n:m, with A() and B(
), the point O(x, y) is at:
The fire hydrant (x, y) divides Fire A(75, -40) and fire B(-37, -64) in the ratio 3:1(three fourth), hence:
The fire hydrant is at (-9, -58). That is the fire hydrant is 9 meters west and 58 m south of the tower
In a fractional exponent the denominator tells what root it is (7th root in this case) and the numerator tells what the value in the parenthesis is raised to (2nd power in this case)
Answer:
The probability that a particular driver had exactly two speeding violations is 0.009.
Step-by-step explanation:
We are given that a sample of 2,000 licensed drivers revealed the following number of speeding violations;
<u>Number of Violations</u> <u>Number of Drivers</u>
0 1,910
1 46
2 18
3 12
4 9
5 or more <u> 5 </u>
<u>Total</u> <u> 2000 </u>
<u />
Now, the data means that 1,910 drivers had 0 speeding violations and so on.
Now, we have to find the probability that a particular driver had exactly two speeding violations, that means;
Number of drivers having exactly two speeding violations = 18
Total numbers of drivers = 2000
So, the required probability =
= = <u>0.009</u>