The angle is 75.52 degrees
If there is a vector with the form a i + b j, the cosine of the angle between the given vector and the positive direction of the x - axis is calculated as:
cos θ = 
So, given the vector i+
, the cosine of the angle between the vector and the x-axis is:
cos θ = 0.25
Therefore, the angle θ between the given vector and the positive direction of the x-axis is:
θ = cos-1(0.25) = 75.52
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If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5
No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000
No of ways 14 people can be arranged in 14 seats = 14!
Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
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Answer:
21:A 22:D
Step-by-step explanation:
hope that helps
1.44 per kg
take 1.3 x 2, then subtract 12.7, finally divide that by 7
Answer:
<h2>621.207km</h2>
Step-by-step explanation:
We are expected to convert from miles to kilometer
first day 85 miles =136.794km
Second day 125 mile=201.168km
third day 176 miles =283.245km
Total distance covered is
136.794km+201.168km+283.245km=621.207km
Therefore the total distance in kilometer is 621.207km
