1,2,3,4,6 are factors of 12
5/6 is the probability of getting a factor of 12
1/2 is the probability of getting a tail
5/6*1/2 = 5 /12
Answer: 5/12
Answer:
95 intervals
Step-by-step explanation:
Given that
population mean = 100
standard deviation = 15
number of interval that involve the mean for 95% confidence interval is calculated as
We know that when we measure the 99 percent confidence interval, 99 outof 100 confidence interval are required to provide the mean population.
similarly
Assuming we measure a confidence interval of 95 percent, then we should expect 95 out of 100 confidence interval to provide the mean population therefore, answer is 95
The final value, 5.3, is greater in the value of the answer.
Answer:
along the direction 68.19° from north.
Step-by-step explanation:
Given,
- speed of the boat, u= 2 miles/hour along north
- speed of the river, v= 5 miles/ hour along east
Since, north and east are perpendicular to each other, so we can write the resultant velocity in vector form as,
Hence, the magnitude of resultant velocity can be written as
Hence, the magnitude of resultant vector is \sqrt{29} moles/hour.
And the direction of the boat can be given by,
= 68.19°
Hence, the resultant velocity of boat is 
miles/hour along the direction making an angle 68.19° with the north.
You need to use the angle sum of a triangle in triangle CAD to express y in term of x
for triangla CAD , y = (180 -x) /2
180 = 3x + [ (180-x)/2]
x = 36
hope this helps
