1 more than the difference between 18 and 7 times a number is -9
1 answer:
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Answer:
17.80% probability that all of them are wearing their seat belts.
Step-by-step explanation:
For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Police estimate that 25% of drivers drive without their seat belts.
This means that 75% wear their seatbelts, so
If they stop 6 drivers at random, find the probability that all of them are wearing their seat belts.
This is .
17.80% probability that all of them are wearing their seat belts.
Answer:
The answer is below
Step-by-step explanation:
From the image attached, the coordinates of triangle ABC are at A(-5, 4), B(-5,7) and C(-2, 7)
a) If a point O(x,y) is rotated 90° clockwise, the new coordinate is O'(y, -x)
If triangle ABC is rotated 90° clockwise, its new coordinate is at:
A'(4, 5), B'(7, 5) and C'(7, 2)
The coordinate of A"B"C" is A"(2,5), B"(5,5), C(5,2)
Hence the transformation used to map A'(4, 5), B'(7, 5) and C'(7, 2) to A"(2,5), B"(5,5), C(5,2) is (x - 2, y + 0). Hence comparing with (x + h, y + k) gives:
h = -2, k = 0
b) If a point O(x,y) is reflected across the y = -x line, the new coordinate is O'(-y, -x)
If triangle ABC is reflected across y = -x, its new coordinate is at:
A'(-4, 5), B'(-7, 5) and C'(-7, 2)
The coordinate of A"B"C" is A"(2,5), B"(5,5), C(5,2)
