Answer:
≈5.6
Step-by-step explanation:
Use ratios: 4/3 = 7.5/x
3 times 7.5 then divide by 4 to get 5.6
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Answer:
(a) 0.9412
(b) 0.9996 ≈ 1
Step-by-step explanation:
Denote the events a follows:
= a person passes the security system
= a person is a security hazard
Given:
Then,
(a)
Compute the probability that a person passes the security system using the total probability rule as follows:
The total probability rule states that:
The value of P (P) is:
Thus, the probability that a person passes the security system is 0.9412.
(b)
Compute the probability that a person who passes through the system is without any security problems as follows:
Thus, the probability that a person who passes through the system is without any security problems is approximately 1.
Answer:
- Equation: 6x = 78
- Rooms: 13
Step-by-step explanation:
Let the number of rooms is x.
Each room is built to hold 6 puppies, so x rooms hold 6x puppies.
The equation for this is:
And the solution is 13 rooms.
Given the points H(6,7) and I(-7,-6).
If point G lies of the way along line segment HI.
Therefore, we can say that the point G divides the line segment HI in the ratio 1:1.
So, by using the cross section formula we can determine the coordinates of point G.
For the given points say and divided is in the ratio , the coordinates are
Coordinates G =
= (-0.5 , 0.5)
Hence, the coordinates of G are (-0.5 , 0.5).
So, Santiago argues that point G is located at the origin. The point G is located at (-0.5, 0.5). Therefore, he is not correct.
Answer:
D) 39
Step-by-step explanation: